오늘의 기출문제 모의고사는 일반기계기사 입니다.
문제풀이닷컴에 입력되어 있는 기출문제 자료들를 활용하여 일반기계기사 자격증 기출문제를 랜덤(무작위)하게 뽑아내었습니다.
각 문제 하단에 버튼을 클릭하면 정답 및 해당문제의 출제년도 및 회차를 확인할 수 있습니다.
오타 및 오답이 있을 수 있습니다. 알려주시면 수정하도록 하겠습니다.
채점 및 결과 확인 기능은 블로그에서는 어려우니 홈페이지(https://quz.co.kr/)에서 문제풀이를 이용하시면 확인가능합니다.
일반기계기사 시험과목은 " 재료역학, 기계열역학, 기계유체역학, 기계재료 및 유압기기, 기계제작법 및 기계동력학 " 총 5 과목으로 되어 있으며 과목당 40점이상, 평균 60점 이상이면 합격입니다.
아래 링크(문제풀이닷컴홈페이지)에서는 일반기계기사 기출문제 문제풀이를 회차별 또는 랜덤으로 회원가입등이 없이 문제풀이를 맘껏 풀이 해볼수 있습니다. 많은 관심 부탁드립니다.
일반기계기사
재료역학
1.
그림과 같은 단순보(단명 8cm x 6cm)에 작용하는 최대 전단응력은 몇 kPa인가?
![](https://t1.daumcdn.net/cfile/tistory/99BB583359B7314B32)
①
315
②
630
③
1260
④
945
정답 : ④ 945 (2017년2회)
2.
그림과 같이 단순화한 길이 1m의 차축 중심에 집중하중 100kN이 작용하고, 100rpm으로 400kW의 동력을 전달할 때 필요한 차축의 지름은 최소 몇 cm인가?
(단, 축의 허용 굽힘을력은 85MPa로 한다.)
![](https://t1.daumcdn.net/cfile/tistory/99B0C53359B7315E33)
(단, 축의 허용 굽힘을력은 85MPa로 한다.)
①
8.1
②
12.3
③
4.1
④
16.3
정답 : ④ 16.3 (2017년2회)
3.
최대 굽힘모멘트 8kN·m를 받는 원형단면의 굽힘응력을 60MPa로 하려면 지름을 약 몇 cm로 해야 하는가?
①
30.1
②
11.1
③
3.01
④
1.11
정답 : ② 11.1 (2015년1회)
4.
정사각형의 단면을 가진 기둥에 P=80kN의 압축하중이 작용할 때 6MPa의 압축응력이 발생하였다면 단면의 한 변의 길이는 몇 cm인가?
①
23.1
②
15.4
③
11.5
④
20.1
정답 : ③ 11.5 (2017년2회)
5.
그림과 같이 단순보의 지점 B에 M0의 모멘트가 작용할 때 최대 굽힘 모멘트가 발생되는 A단에서부터 거리 x 는?
①
②
③
④
정답 : ④
(2015년2회)
6.
그림과 같은 보에서 발생하는 최대굽힘 모멘트는?
![](data:image/png;base64,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)
①
7kN·m
②
5kN·m
③
10kN·m
④
2kN·m
정답 : ② 5kN·m (2015년1회)
7.
2축 응력에 대한 모어(Mohr)원의 설명으로 틀린 것은?
①
원의 중심은 원점좌우의 응력축상에 어디라도 놓일 수 있다.
②
이 원에서 임의의 경사면상의 응력에 관한 가능한 모든 지식을 얻을 수 있다.
③
공액응력 σn과 σn'의 합은 주어진 두 응력의 합 σx+σy와 같다.
④
원의 중심은 원점의 상하 어디라도 놓일 수 있다.
정답 : ④ 원의 중심은 원점의 상하 어디라도 놓일 수 있다.
(2015년1회)
(2015년1회)
8.
그림과 같은 직사각형 단면을 갖는 단순지지보에 3kN/m의 균일 분포하중과 축방향으로 50kN의 인장력이 작용할 때 단면에 발생하는 최대 인장 응력은 약 몇 MPa인가?
![](data:image/png;base64,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)
①
7.33
②
3.33
③
4
④
0.67
정답 : ① 7.33 (2017년2회)
9.
그림과 같은 단순보에서 전단력이 0이 되는 위치는 A지점에서 몇 m 거리에 있는가?
![](data:image/png;base64,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)
①
4.8
②
7.8
③
5.8
④
6.8
정답 : ③ 5.8 (2017년2회)
10.
그림과 같은 단면에서 가로방향 중립축에 대한 단면 2차모멘트는?
![](data:image/png;base64,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)
①
10.67 x 106 mm4
②
23.67 x 106 mm4
③
20.67 x 106 mm4
④
13.67 x 106 mm4
정답 : ④ 13.67 x 106 mm4
(2015년2회)
(2015년2회)
11.
오일러의 좌굴 응력에 대한 설명으로 틀린것은?
①
단면의 회전반경의 제곱에 비례한다.
②
길이의 제곱에 반비례한다.
③
탄성계수에 비례한다.
④
세장비의 제곱에 비례한다.
정답 : ④ 세장비의 제곱에 비례한다.
(2017년2회)
(2017년2회)
12.
다음 막대의 z방향으로 80kN의 인장력이 작용할 때 x 방향의 변형량은 몇 ㎛인가?
(단, 탄성계수 E=200 Gpa, 포아송 비 v=0.32, 막대크기 x=100mm, z=1.5m이다.)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASwAAACRCAIAAAD2PBI9AAAgAElEQVR4nO2df2Rq/x/H97132213v9paqVRKypGSJJEckUQiEhERieiPiIiI6I+IiBj9ERERERGJiBljJq4ZSWYys2SzLNu0ne8f537OPTtttdVW+3Eef53O7+7ds/f7/fo5B+Hg4MyUuVm/AA7OdwcXIQ7OjMFFiIMzY3AR4uDMGFyEODgzBhchDs6MwUWIgzNjcBHi4MwYXIQ4ODNmeiK8uLh47lCn0+l0OpidNzc37/xGODgfgtEiNBqNMpkMAAC5XP7nz58xnmG325eWlpaXl8lk8uXlJfpQKpViMBgAACwsLJhMJmR/JpPx+XxP3q3dblOp1GazOXioWCzu7u6O8YY4ODNkhAhPT083NzcDgUC5XA6FQjQaTalUvuoBTqdTJBLd399DEJRMJplMJnIol8txOJzb21sIgh4eHuh0utVqRQ4VCoUnb1gul+fn5xkMxuAhi8USiURe9Xo4ODNnhAgvLi5EIhF6D5FILBaLL38AkUjsdrvIR61Wu729DW/TaLTT01PkUL/f39jYgLez2WwymXzyhoeHhzqdzmAwDP4cBAKBUqn08nfDwfkIjBDh+fm5VCpF73E6nX6//+UPoFAoDw8PyEe5XI5oWCwWY05WqVTHx8cQBBUKhVAohD6EKLlUKnm9XgiCiEQiZvIZjUZf9QOBg/MRGCHCer0ukUjQe0KhUC6Xe/kDnE4nMsmsVCputxvePj4+VigUmJNdLhesolKphAyYEASBIJhIJODtXC7ncDjgd6NQKOjLg8FgOp1++bvh4HwERq8JMVKRSCToOWQwGPR4PD6fLxQKhUIho9FotVqvrq7QlzidTiaTyWAw0KaXXC5nMBgwjwsGg7AIs9ksMhIKBAL0iFepVJAL3W43CILIoWg0+twkFgfnwzJ6Tcjn82u1GgRBnU5Hr9fbbLbXPsNisYhEIoVCodPper0evDOfz2u1WsyZkUgE1lsmk3G73Tc3NxqNplqtos8pl8s6nQ75yOPx9vf34W2/348eP3FwPgUjRNjpdCgUikKhcLlcTqcTmRO+HBaLFY1G4e12u83n8+FxMp/Po7UEEwgEYMnt7u7yeLz19fVBR0U+nzebzcjH6+trxFLqdrvHeEMcnNkyeiQUCoX9fv+5E2q12vn5+e7u7tHR0dnZ2e7uLnrq2Ol0NBoN+vx4PA6PpUdHR4OGGYvFcnZ2BkHQ7u6uxWKRy+Xo2SZMJpPBzGM9Hg8AABAEpdNpXIQ4n47R1lGVSjXkhEgk4vf7fT5fNBpNJBJutzscDiNH0+k0YpWBqdfryA1JJBLmbnw+H7kwlUpBEOTz+TCSy2azg84JAAC8Xq/dbi+Xy8O/EQ7OR2OECE9OTgZXbi+n1+tRKBR0SJrZbA4EAvC2RCJxOp3IIZ1Oh8wzY7EY4nZXqVTod0in03K5HPOg29tbNptNJpPHi+nBwZkhI0RYq9UwfsLXYrVauVyu1+tNp9MqlQpja5VKpQaDYXt7Wy6XG41GZH8ul0M7QjweD+yWgCAok8m4XK7BBxWLRQqFgosQ59MxOna01WpN+Iz9/X2r1RqNRmEr6+DRRCJRqVSG3wQOfMPB+Xq8TRYFHP95dHTkcDjq9fqb3BMH55vwBiI8Ozuj0Wh0Ol0mk7HZ7GAwOPk9cXC+D28zEkYika2tLZlMZjKZjEZjNpt9k9vi4HwH3iypV6VSbW1tqdVqsVj848ePxcXFeDz+VjcfQiwWTiTwKBmcT8xbZtaLRCIAAG5vb7vdrlarpdPpa2trXC73SXvM5OQL6d/Lv/QGtd1hJlM2lKC0ddp4jwfh4Lwr71veYmdnBwCA5eVlAACQ4LXJabdbXp/D4bRcXf3zQF5cnBmMajqT7A+43+pBODhTYBo1Zu7v70OhEJVK3dzcBABgwmyjciW/uPgzm3s2WyJfSEllQrFYhGdU4HwKplptrVwu83i8xcXFjY0No9EIh4m+imgsSCAsVKpPV75A0+m0bTY7nU53uVxjPAgHZ2rMoOTh8fGxy+Wi0+kEAoHFYj1XSwbDVbdtMGrsDvPoUx9TKBQAAKDRaKFQaLCmGw7OzJll3dGLiwun00kkEhcXF+VyOTpXGMN2IkKmbBzVDyZ5XDQa5fF4TCYTn6bifCg+RPHfUqkkk8mIRCKFQvb5PJijFquBSiNdXp2/ybNOTk54PB6Px4vH43d3vTe5Jw7OJHwIEcL0+/1AwLe5ub62/tvuMB+fHKUz2yq1PBYPjb749fj9Prlc4nJbi6UsBOGBqTgz4wOJEKFYyoIqGZNFFUuBu7vrd37afTDkNRg1obBvZ7d0evZETWEcnHflI4oQgiCDURPfDo8+7+3oXJxqtEoKdRNUybYTkUbzzwN0O80XwPm2fDgRhoL+THZmJSqSqZhao2CxaXAITrGUPTt71lyEg/MmfCwRstlMm+3VToi35r7daWWyCZlcRNpaZ7HpsTheWh/nHfkoImy1WlQqNZGYRsz3i7mv/dkNBD18gC0SA+lM4rp3OfoiHJxX8iFEyOfzxyhnOjVu77onrXoiGRWJ+Rwuw+G01P7sQtDdrN8L54swYxHClUiR+jEfnOOTI6GIR6FuMllUsQSIxoIXl3hAHM6kzFKE0WhUKpUOaR76MendXObyKa0OZLKoDCbFaNZeXeHTVJzxmY0Ii8Xi1tZWLBabydPfiovLs2wu6fbYTSaDXm/AS57ijMcMRFgul5eWlr5YbcKdnR0Wi8Visba3t6+v3zvAAOdLMW0R1mo1EomEaZr9lfB6vUtLSzQa7bOP8zhTY6oivL+/k0qlJBJpsDPhF+Po6AgAAAKBoFQq8YERZzhTFWGjUTeZTHAtYDqdrtPpvnyRUp/PR6VSSaRNl8t+fHI069fB+YhMVYQ7O1V0BftKpcJmswUCgcVi+WJLRAxnZ6cgqFgnLpMpG26P/Ws4Nq66bUDAwezUG9Q3t1dPno/zHNMeCWMxbExMu90GQXB5eZlKparVqkIhC0HPdmL77NjspsVf88srBL1BXakWr3ufzD2Dgc2h/zncQ+14kEgFM3ubT8u0DTP7+ztP7j88/ONw2Gg0ytLvRSaLGokG3iqL9wPi9jj5AJdCIbHZjEzmE6f5h8I+dMGRSDQww+D7z8u0Rbi7O8yZdnF5ns7EFUoJk0Xl8piJxJtVSfyANOp1h8MBAIBSqfikXb4foFs2h458FIp4E96we/0diwBNW4QnJy+yxPRuLk/Pmja7icmier3OzsVXzifq9XoOh4PD4fB4vHw+P+vXeR1sDh2uufzncE9nGNZP1uN1qNRyJSiVK8RqjaJQzKCP3t51NVoljb4lkQrqjXepFv1hmbYIT8+OX3nFXTQW5PFZMrloSK3Rr8HBwYHZbGYymWaz+eHhYdav8yIq1YLRpIUgyGDUDEmDvn+4IW2tr6wSWGwah8sABBx0jeb9gyqZshGLB3d2S2TKxvIK4aD29LLlSzJtEf453H+84xV/aplsQqGUeDz2ev2L2/rD4bDRaPT5fJ/CaMzjs8IRP4/PGn4ajb7lcttu77r/7fhnftskrRVL/5oIUWmkb2XgmbYIQyFf7c/uJHfIF9JqtUogEBqNxi8ceQNBUL/fj0QiCoUC6Rz+MYlEAwuLPzHTy0HIlI3txBNfZHevLJOL0HvcHjuVRoLXh//Z5/rFUjaTTaAXjfcPN8cnR72bf38D3evOfw6Sh/79o1J69w839w83r/peU2PaIrQ7zAIh12Y3FYqZSVwRjUbDZDKBIBgMBsvl8t3dV87uy2azDofDbDZ/1Iqp98srhJEnbZLWvD7nze0V5v/dZNbl8in0nkbzD4tNO2nVIejOYjUYTVq9Qc1kUUlb61tk4s5O6fLyPBzxy+QiCnVTb1D/J9QHm90klQkNRo1UJpRIBUaTtt6oFUvZRDJqsRpAlUyrA9/ye78RU18TnjYhCDo9a6Yz2yazzmTWxbfDzePDsW/Y7Xaj0SgAADKZLBwOD6kg/Nm5vr52uVxisdjhcJycnMz6df5RLGV1+r8mmVT62doIVBqJwaSIJYBYApQr/+xPSlA6aInh8ph7+5Wb2ys6g7yySvB4HYdH+yetOp1B/kWYl0gFqXT84vIsFg/B2oavUigli7/mnS4rnHIdiQYIhAWRmI/cdmWVkEx9uJjeaYvw5uZROEUkGhBLgE3SmlgC5PKpsZ3Xd3d3drudwWDQaDSVSpVKpY6PX2sB+jTk83m1Wi2VSqfTAXIkpK31dqeF3iOTi6IxbMPmSDTgcFr0BjWbQydtrSNmNqVSOvgrLBTxcvnU5dU5jb4llgBIHYN8IT03N+dy/6vDIBLzFUoJvK3Tq6QyIfo+a+u/0TaeUNin0SrH/6rvw7RFiJ7BI1SqBdg8vfR70WjSnp2PqZ/T09N0Oq3Vajc2NpaXl7Va7dXVlw2h6na7Pp9Pp9Op1eoZOjZkcpHBqEHvqVQLyysELo/53CX3DzdiCUDaWoelJRLzj46wDQ7EEqBUzp23Tzhchsf7r/BCu9NaWPyZzvxzq4IqmVoD5wPcK0FpJBpA30dvUKM/Xlyemcy6V37Fd2faIjxvt547tLdfsTvMDCaFtLUOCDgut23sgbFWq8GR0ysrK0Kh0GKxfGE1wtNUDodjsVi63e7oC96I8/aJUMSD/RNoaPQtBpNCo28NDoYIe/uVuf/NwSY6k1k36JAQifmXV+dX3TaPz0ok/8VsnLdPFhZ/5gv/uutptEqVWg5vm8w69EQXgiCzRY/+eNe/Rk7+OExbhM3jEd6F7nW7XMnrDerFxZ9kymZsO7y7N2bGervdzmQydrudSCRubW3Z7favbcJJJBIgCPL5/GKxOKt3KJay6cx2LB5aW/+NHsEwnLdPfvyYOzzahyAol0+FI3700d7NpcNpgSDo9q7LYFKQJR8EQYdH+3Nzc2gDO6iSiSUAvB0K+zBt8zCTz5vbq8Gg85nzIaqtPUmttu/2OMViwebmulwh3Xsm6PQlHBwcOBwOPp/PYDCEQqHP5zs//7KBqXd3dxaLxWw2u1yuCfuxjk2j+QetnEEUSsnq2tJd/xqCoJvbKxabhj6aTMWQsZHFpoXCPuRQ8/hwbm6u0fyDvhWitHDEj/Y3QgPT0c7FKR9gj/OV3pOPK0KYi4uLbDZnNpvIZLJQKCyVSmPf6uHhoV6vGwwGAoGwurpqNBq/dlWY4+NjoVAolUqDweCUx//9g+pgVw+f35VMxSrVAjzNQavFYNRwuAzYXrCdiFisBuQQhbrp8/9Lfzuo7czNze0fVJE9EqkAWeY5nJZi8ZEIlaAU/bHR/PMBwwA+uggRer1erVbzer1isdhqtU5So63dbofDYYFAQCAQGAzGpwvXfC3ZbFYikUgkkp2dKcWC7eyW4KkmGolUML/wg7C0+Hv516Anw2ozUqibLDYNYzgxW/ToFeDpWVMk5p+3/3lokskYki19etbEhM6VyjnMg05aHy6P/NOIEE2tVhOLxQQCAQCASdY/t7e329vbdDqdRCJZrdY3fMMPSCaTYbPZTCZTrVb3++87MJbKuZ3dJ+Ysp2fN5vHhK+smDwY2frU+dtMW4Rua7zKZzNra2tzcHIVCiUajkyzzLi8vrVbr4uIij8erVCpv9YYfE5fLtbKyzGBQU8n3cjMWihmMlRJnCNMWYav1rItiPHq9nsFgWFxcJBKJOp0un8/f34//S3l/f+90Omk0GgAA7Xb7Dd/zo+FyOSjUzYXFn4SlRY/X8bZ94ArFTHVnZhbaT8e0RXh09C4JEHd3d9VqVSaTkUgkEAQnX+YlEgm5XM7j8QwGw9SWUtNn/6CqUEpIW+ura0s2u6lcyaOyHManUMyM7VhCODzaR6/9vjBTFWG/308k/pY/6PXeq198u91WKpUCgSCTGRHXP5JWqwUAAIfDkUqlXq/3q3r8r7rtaCwoFPGoNBIccTah9aJYzD65JnwVFqvB6Rq9UL+5vbI7zEf1RzE3n6vB67RHQrVaLZfLNRqNRqMZffZkZLNZm81msVi8Xm+z2Ry7/me73fb7/Xw+XygUqlSqWCz2VVOoztsnNrsJEHB4fBaokqVS8fH6hxeKmeEi7N1cPhnAiMZk1qF9Fc9zp1LLt8hE5LPdYf5cPbOmLUKtVisWixUKhcVimZoJJBAIaLVaFoul0+kOD8fP2Mjn80qlkslkUqlUvV7/foP5bLm9624nIgIhl84gc7gMr89Zb9RelX49UoQP0O1InVisBrfH/pLHXVyewdNpCIKCIe+QcLmPybSno2q1mkKhSKXSUqkEgqBQKPT7/W9urXmSbDbLYrFWV1fFYnEkEjk7G7P45/39fTabNRqNKpXKbDY3Go23fc+Pw3n7xOtzsjn01bUliVTw8iSgkSIczuXVOQTdWW1Go0mLGYqfS8zN5pIU6iaPz8JkUXwKpirCXq/ndDpLpZJe/y+sdm9vTy6Xc7ncYDA4hcIqpVJJoVDQaDQymWyxWBqNxu3t+OuHQqGg1WolEonP5/ssVWFeS/++l85sG4yaLTJxnbiMrg3zHJOJ8F6rU8rkIh6ftbb+Gx0gDqpk6BA2DEIRb25uDh3t/VmYqgg7nc5zlRoajYZUKhWJRA6HY+wx6uV0u10484DP50skkng8PslDe71rl8shkYgsFnO3+zWXixAEXVye2R1mDpchlgD+gLvff3Y2XirnarXxi5iUK4WlJcLi4jyHy2q1mhAEJVPbGo0qFg8d1Q8g6L5/39vZLZXKObjQGwRB7U6LD7B/EeYHszo+PlMV4cPDw8hc22Kx6Ha79Xr9dAbGer3ucrl4PB6NRhMIBBN6I9qdViab8PpcmWxyyN/oJ6ffaP6pVAser8NqMz7pitg/qE7YeEOr1W5tkYxG4+HhYTAYQHdTl8lFNPoWaWt9nbj8XyYhpNOrBEJufDtMpZG2kx+6JM8gHzRsrdfrRSIRt9vtcDhcLle5XH5XQV5eXsJtg+GheGKLUT+d2XY4LRarPpX5EMnv78TF5Zk/4DaatMlUDF1YaXevPGHNQjj6HG5VgqmM7HRZf/yY2yStrawSrDYjBEFen3Nh8Secqu9wWqg00iSPnj4fVIQIjUZDq9Wy2WwAADwezxRKyPR6vXw+b7Vao9Ho5eXlJPE3nYtTt8eu0SrdHttd/zN5rl5LvVHz+V0arTKTTdzf33i8jgn9hJeXlwKB4Cnf7K3Nbppf+LGxuSqTiyDornvdWVv/rVBKkPpRZosenXr/8fnoIoTpdDp6vZ5KpXI4HKVSWSwWp+AeuLm5CQaDLBYLBMEJl6nN4z97+7tut9vpdH5Vjz8EQb2by/h2WK1RsDl0dBmYV9+n11OpVINpa6FQgMdnZTKJ7USEzaH/F576UCxl4dTET8rnECFMt9tNJBJsNptKpdLpdIvFMoVqTv1+PxaLyeVymUw2STYjTKVSkcvlUql0hsnvUyAc8VOom1KZ0O4wv8rBCEFQvV4HAGB/H5sJpVQqhUKkblrfZjd92Dqir+UziRCh0+kEAgEOh7O2tiYQCGq1abQuuLy81Gg0LBbL5XLd3Ez0339xcREIBHg8HgiCnc4nbYEyTFrpzHZ8OwxBUHw7LJOLVGr5S5Iq0un04AoQgqB4PK7VauPxD1eq8K34lCJE2N3dBUGQzWYrlcpUKjX6gregWq06HA6ZTOZyuSZZMUIQlM/neTyeXC7f29sbffbnIRoLooM5r3sXTpd1k7TG47My2QSmPiIEQbd33Vg8SiQSq9Uq5pBYLPZ6vf99+pqe2M8tQpjr6+tMJmMwGDQaTSAQmE5gZ6/XM5vNPB7PaDScn08U8XN8fGw2m9lsttPp/BTNJ0ZSLGURDx6a7URELAGIGysarRKl0jtQLd8ikzAVje12u9PpLBT+Fm7yeNxraytXXSRr9Ot0kv0KIkQTi8VMJpNWq/X5ng2teFuOjg7VahAQcBxOy2V3ovpRJycndrudz+ejm4p/Rkrl3JDI72wuCQg4vwjzzwXfXF9fczicYPBfCCibzXW5hlWO+tR8NREiJJNJOOnh4ABbWPadXI6ZbEIJSm12EyatZgzg4oVqtXrw5T8FpXKueTIsUD4aCy4s/lxZJQx2BfV4PFqtFpnnX1xccDicXO4r5+l/WRHCZDIZBoOxubnp8XiezJR/c7sI7L/e3FrDlJ0d51YXFxqNhkajORzPFvD8mKQzib39ZwMeiqXsj5//ozPIW2TixeU/34/L5Zqfn0cbZlgs1vLy8hfuaADzxUWIEIvFfvz4QSAQLBbL4eEhMhg2m813WkNmsgkyZWODtBqLhya8VTweJ5PJVCo1FvscFsJKtXR69mRS/D1xYwVJUFKrFbCbod1pyeQSJpN+ff3PiUqn03w+71M3+Wp8FxHCBIPBzc3NhYUFGo1mtVqbzeYkKRQv4yEaDXL5zI0N4uRzS4lEsra2BocrvMnLvRPFYqHZxBpmer1LKo2ETvbT6VWJZDQU9v0izP/X3gyCIKhUzq2vL6+t/Y7GJv39+hR8LxHC7OzsOBwOgUCwublpMBimE8KSy2VBENRqtbu7E/VIPTg4AEFwdXWVSqV6PJ53qtkzIZlMBvM1S6Ucm0PHVAFVgtKFxZ9IWzWYWDyk06sAAYfDZTDZ1Gm87qz5jiJE2NnZCYfDTqczGo1OJ7H46uoqHA5rNBq/3z9JNbf7+/vt7W0AADY3NxUKRTgc/lBqzGazSD5Ku33O53MH8wCNJi2FuoluogT3/Tw7P4age7VGIRTx+AB7sHrv1+NbixDh7u7O7XbL5XK32z2FbEbov9xii8UyYfJUvV73er1wxQ2FQjG1iIXhxGIx2L+3t7fPZDKq1UfpTv37Hh9gi8R8PsD+zzr6YDLrQJUMdsfvH1TdHns44nc4LcHQ118W4iJ8RKVS0el0crl8aq1UcrmcTqez2WyDwSIv5/LyMpPJyGQyIpFos9lmPipms1k+nx8KhQZj0KQyYTwehre1OhCusBgK+wZb3ucLaXTPiS8MLsKnyeVyFotFq9VOp2nMxcWFx+MRiUQTLhobjQY8wTYYDHa7fVbRcHa7nU6nYxbbh0f7IjEf3S9Np1cNhrAh5AvpIX6OrwQuwmGcn5+rVCoejzdhC5qX02g0TCYTAACBQGD02aNuZTQaeTxeOBx+k3d7CfV6XaVSkUgkzDRbIhVuktYelzO9WycuDyl8mMkmRiYldq87V932Vbc9dqHReqPm9thtdtNgKYDezWUo7PN4HZgFbbGU7Vw8ndd6c3v1XMnWZvPZECJchC+iWq3K5XKFQoGEMr4rV1dXDodDIpGYTCaXyzVJpn+v19Pr9Uwm02g0TmiYHc719bXf7+fxeBKJhM/nI2anXC4rEPDKlUf/brXabijsqzeGpb8EQ15Ms0EM+wdVDpeh0SrVGoVAyJXKhDc3rzN0K0GpSMzfTkRSqbgSlG4n/tXFOKofcLiMSCRQ+7NrMGrIlA3kUDQWHOw5BRMIen4R5p/UoVQqHdwJg4vwFbTbbZPJBLcZnY41NRAI0Gi0jY0NoVAYiUTGrl8MQdCfP3+sVqtMJnO73d3uG3tlDg8PmUwmhUKB8wDtdnsymTw8PLRarXq97vQUHfJyJxByX1Ky7aRVH54xmMkm0JNbp8v6ylbYD0iLX/ijRvevrS+NvoXWEpmyYXeY4e1cPvVkeDoEQaGwj0bfEop4g4cUCsVz74GLcBz29/eNRqPJZJpOm4psNisQCJaXlzkcTio1qcUoFouJxSK9XlepvM2oHolEVlZWuFwuYlg2mUxEIpFCoWCK6+0fVIkbK+gBZxLKlTyctYhgNGlf3r6i0fwDgjL0Hrh8MPyemKjDnd0Sjb4Fbw8JT7fajflC2uN1YNp0QxAklz/7A4GLcCJKpZLT6fB4nFNoQtRqtXZ3d4PBoMFgCAaD1Wq13x8/nefq6iKV3jZbDHaHudEcpyr5Xf86l0+ZzSYul+tyudBh8RqNZn5+fmODqNMhHT8fdHqVWqN4KwVCEJTNJTF3c3vsz00UB7m5vVpZISCizRfSDqcF3vb5XZUq9hcKqR+VySbQ/bqtNuOfw78PNZq1Z+dNCIL4ABtzB6USK0sEXIRvwMXFuT/gVmsUNodpvOYNr+QhGg2DoFKhkInFwngs1p+gilSxmAdBhUQi9Lid7c4r6mjZHebFxZ8iEdA8xs7N2u0zn8+r02q4XLZYLLRaDVwek8mi1v685aK0VM4lUo9K/arU8pu7vzPte+gmX0hXqoXqTnH/oHpQ20kko5gE/2Ixx+Ox9/d34vGwTv+vOYperxm003B5THgjndluHv/92VIoZT7vv6m13qA9O29BEHR71+NwGOjLRSLRc18EF+Fbcni4L5OL6AxyIOhBlwB8J3o3Vw6HZXmFwGLTvD7n2fn4jcTOzs4ikbBQKOTz+S8JTN1ORH7O/zCZdcPNksVSbn7+x9zc3I+f/1snLguEXKfLOrIVzAvZ2S15/X+TDB8ebr0+p96gRp9wfHIE+yGvexfXvYvTs+agR4ROpy8szC8vL0ej/wZVrVbTaGBnBwIhF95IpeOwdVSlVrrdjzI/DQYD0gbX7/eBIIgcwkfCaZNIRkViPiDgZLPJ937WXf/a5bZRqJtLy7/YHLpWBzaa4zc2u7m50el0W1tbfD6333/CLnLePmGyqEIR78/hCCek02Ulba273LZKteDzuzhcxv/+Nzc3N7eySniTjhG7e+XVtSW1RsFi0xZ/jVN7WyqVGgwGCIL6/T7cbwver1KBtRp2Wsvjs+CNYMgrFPFUankwhHUjmUwmdB1ABoORzf418KJm5li+nQhbrZbFYhkyN4DRaDQAAPD5fBqNNvLk56g3aiIxn8Wm+QPu96/J95AvpEVi/vIKYWFhXiyWTBg343a7yORNo1GL9hPE4qH5hR8+/4jE/6tuWyoT/vgxhyl8CPckJRAW5ubmVteWRt5nOJVqQa1RHNR2Wq1xevLk83mZ7J+xpNfrkW5DnbQAAAzNSURBVMlkeBwDQeXJCXZZQaFuwhu5fIrBpCCaRKPT6dAN4a+vr5eWluBt9KiI4XuJUCAQiEQip9M55F8ERiwWv6FLMBD0CEU8tUZRLr97hnjn4nR7O04mUxYXF9lsttU6us/mEHb3ykaThstjanWg2aIXinijLB8PR/UD4sbKyiphSLzL/cNNvpBe+r3448ccjb6VL4xj8i2WskPavxwdHegMKqNJazLrhCKeQikRinhK8J+zLhgMYn6nfD4fPHD5/d5I9JHd9fLqfHmFAG/nC+lcPhWO+NkcrA61Wi1ahPBT2Gz29fW1SqWCnuF7iRAB3RbqSUaqdDxsdhODSbHajDe375s/dXt7m8vlDAbD/Pz8ysrKYAzna2Fz6DL5iBlB67QhFPEo1E1QJUPbD59DoZTA8qbSSEwWVSwBXlU5u1jK5vLjB6x7vV7MP0skEoGLTe3s7DAYj7KozBa9Vvf3TyKbS8I21VQ6SaPR0KdptdrB5Bg+nw+CIDzvfZJvKsIhThsYiUQy/IRsNuvz+dAduWPxkN6gfkkPhvh2mMdnAQLOFPp4nZ2d+Xw+Go3G4/GCweDY1dxubq+GexcOajura0vrxOWXd6EABBzEQ5DLpzhcxi/CvEjMt9qML7GjJpJRdCbUa2k2m2QyGakynM/nBQIBcpTBoKpUf/9IsrkkgbCAfi7yExOJRNBXqdXqev2JBTmVSgUAYHA/zDcV4RBTFQyPx3vyX7PRaBAIBI1G43a78/m8VCplsZh+v8do1GayiVQ6TqWRXugK61yc2uwmNodusRpeG281Ho1GQ61WM5nMMaJJezeX4Yj/uaOhsG9+4YdcIYatkS9EIORiPDr9+14iGVVrFAwmZZO0ptEq4dKGmWyCzaFjLi+WsoPevFdRr9eZTCaLxRKLxSqVClPTGVTJ2By6UMRjc+joCovVnWLv5l8gcbVaRQrDPRdg2Gw2h6wLvqkItdoRljS47r1cLlepVOgSGM1m8/fv3+hgbolERCKtI43QrnsX68Tll7/J7V03Eg3APTEtVsNLZnGTEw6HeTyeUql8uRq73U4g6HnykFqj2CITM9nEa19DpZajCz1hSKXjq2tLS78XQZVMJOavrf9+HGX2dfimIhwyQUe4v7/v9Xp2u51AICB252aziZnKFouFdPrR3x862PfldC5OLVYDgbDA47FeHns1CcfHx2q1+vfv3yKRaGRh/9qf3Se75G6RiWTKxmtdf53O6f5BlctjjuwnEYkGtDpQIhU4XdblFQLiMf9KfFMRjhwJ0ZhMJqRJ5d7enlD4yMe1s1NNJh+t7zc2Vyd5t1I5p1bLt8hEh9Ny3Xv3/Cm4zY5KpSISiXb7s7UV05ltp+vRhOr2risU8TA7R7K7VxZLANjMg0RjDqdSLVBpJB6fxeEyVteWMDVpvgDfVIQymWz0Sf9xcnKCuAprtRpGhPl8LhwJovdsktYmf0MIgvKFNJtD12iVI93ib0Kv1/P5vGw22+Px3N5iB6h8IY2UKrzuXcgVIovVMF5UkMNp0RvUNrtppLkVplzJqzUKn98FQXfo/U6X9WsUw/+mIhyS3DVIoVBAyu/WajWM4TSdTpXLj8wDr1oTjuT07Nhg0gmFgNfnmrDpxQvJ5bJ6vVatViUScSRoJr4ddXucEASdnh4LhbxUaswOxJFoIJWOyxVimVzEZFHHTsaFICgWDymUEpNZN5V43Xfkm4rwVW5AHo+HOH92dnbQJmkIguLxWD7/KPd0ZZUw+RsOUioVTSaTSgUmEq82gYz7xAIIKq1WSzqdVqlAuVxmMhlBEOz370ZfPEC9UeMDbDiOz2TWlco5Gn1r8kCio/qBy21TaxSRaGA6RuY353uJMJlM+v1+k8lEo9H0er3H40HMgyaTKZn8G+fZ7/cDgcDu7m48HmexWCaTCblDtVrFCDiXzezuPapHRKWRXmWpfxWdTsftdguFQhBUNRrjhGu9loODA5PJxGQyRSIRJj/w5VR3inQGGXEhwmvdQNCDmWFOQrGU1eiUCqUkGgu+dyzE2/K9RNhoNHK53OHhYb1ePzg4yGQySOWPWq2Gdjw0m81SqVQsFgcjMO/uRvzdTN4Q5iUUi0WbzQaCoNvtfv864pDf7x+vb8fpactms4zhwBiX+3RmWyYXiSXA2HPmKfO9RPj1gHszwnUrJgwTHc5g/+qXkMlkAIBf3ZlGxToMp6dNr88pFPNUanmhgK2n+CTtdvv09LTRaLRarcPDwyGlmd4WXIRfhN3dXZVKxWQy/X4/OpvmrRij2JTL5ZJKpXd37z5KD+e8feJ0Wbk8ps1uQpYJPp8fE8F3eXkpEAgEAgEIgmKxeGFhYWpdInERfjV2dnacTqdOpzOZTPF4fJJi+2jy+VfkfxSLRZlMVqsNK6Y2fQ5qOx6vw2jSxeMxtUrF5/Ofm2Ank0mP5+nwoPcAF+GXJRaL8fl8kUhkMBjy+fzIpexwcrmX9oQwm81KpXIKy9SxsVjMIpEIAAAymfxkhLBGoxnc+X7gIvziJBIJBoNBIpH4fL7H4xkZnvYc6HyRISgUinddmr4JoAokkUg8Hk8oFA7OFBwOxySFXscAF+HXp9vt1mo1p9NJpVI3NjZEItHe3qsLLo0cCaVS6ZDSmh+MZ/ulFwoFi8UyzVeBcBF+K25vbyuVCp/P//VrkUYjKxSSlxcIHD4SMplMRIHPrUIvr87tDrPVZnyy8PZ2IqLRKsZLsX8r+v3+lCeiMLgIvyMnJ81Uant5mTA3N6dQSpACfkN4LumpXC7Pzc2l0+mLiwulUrm0tLSwsDC4/swXUvPzPzRapcVq+PFjDl05G4L6P3/+j0BY0BvUW2TiDPMkwuHw1eUMvPy4CL81+wcVQMBZXPzJ4TLOzo+HnOnxeAaz8ul0OoHwN0bP7/dbrdZWq/XkYMLns0/P/7rdbm+7i7/mkUNMFjWIylQUSwTB4BM5U+9Nq3VCo1PlcplWq9HrdUqlEknVfW9wEeJA5+2T8/bJOnGZsLRoMGryhTSSa3t//3B+fg5BUCaTsdlsNpsNLs9zdnb269evJ0vXKJVKjKOyUMgGgo96fXJ5TDiG5qRVX11bevQy52cgOKLuwXtwfn6SL6T39qvVnWK1Wkqn01Nr84iLEOcfV922Tq9aWSWsE5clUkG1WslkMiQSKZVK+Xw+Pp8vkUh8Pl8gEOByuc85ISQSCUaEajW4f/Co8Ew6sw0nRu0fVAfbNiDZnnt7e0dHRwcHByAIUigUJPfF4XCwWCyZTIZU9YQ5Pj5utVo6nY7FYiEhvj6fTywWAwAQj3/QKDZchDhYrrrtYMhLpZE2NolcLndjY2NjYwMAAKlUCgCAQCBAiuQ+iUwmw4hQp1Pf3z9yjXSvO3AHpUQymkxh72Y2/+1/ZLVaV1dXVSoVrC6ZTCYQCNxud6VSabfb9XqdRqMh8XSlUolMJrvdbtgyZLfbpVKp2+2Gm/YcHR1RqdTptHx9LbgIcZ6l1Toxm810Ol0kElmtVrPZLJVKNRqNXq8fMlVTKBSYQdLjwcZ/3UM3cAlQr885WKzJarXC7WVcLhemJNevX7/QSS3RaFSt/lv6fmdnB1PbE5MB4/f7R1bZmwm4CHGeJZvNUCgUIpFIIpGEQqHNZvN6vR6PZ3izChAEMdZRu92KycG/61/Ds1CP17Gzi72b0WiEN3Q6HSZ5ksFgoOOqT05OEBGWy2XMySAIov0lx8fHYrF46DeeDbgIcZ7l6ury5ORvLr9MJnthB2+9Xo/p2WYwaHu9R5WgTk7qcAPAcMSfzWGznBB3udlsxgSvCIVCdKfUZrOJnJzL5ZCMUBin04n+2Ol0hhT/nCG4CHFehNvtfqEIDQYDZiRUq8Hq4+7zDqcFrt1WqRQGDTNILTyNRoMZdblcLjryrtlsIgvITCaDEaHFYkG/Sa1W43A4L/kKUwYXIc6LCIfDL0wssFqtGBHG41GT+VFPIoGQCzej7t1cMpgU9KFSqYRYR00mE2YkJJPJaBEeHh4iy7x0Oo2xf6rV6vv7e+RjvV5ns9kv+QpTBhchzos4PT0d2SHn7Ozs+PhYJpMlk8nr62u0jVQBSpGS9cGQF92YRasDHf+1g+92u+juYiAIYga31dVVdMcVOAoP3s7n8xj3ukQiQVdLODw8ZDAeNe78IOAixHkb0uk0jUaTy+USiUSlUmk0GnRHvrP2iUDI1epAqVwoFPEw1yoUYgaDJhAIQRCEYwNgYrHY4eGjkDpMOE69XkdKwrZaLUyUeTAYRDfxvrq6Qk7+UOAixJked/3r54Lj2p3zj5YEPDVwEeLgzBhchDg4MwYXIQ7OjMFFiIMzY3AR4uDMGFyEODgzBhchDs6MwUWIgzNjcBHi4MwYXIQ4ODPm/5HlTt9IkSUyAAAAAElFTkSuQmCC)
(단, 탄성계수 E=200 Gpa, 포아송 비 v=0.32, 막대크기 x=100mm, z=1.5m이다.)
①
-2.56
②
2.56
③
25.6
④
-25.6
정답 : ① -2.56 (2017년2회)
13.
비틀림 모멘트를 T, 극관성 모멘트를 Ip , 축의 길이를 L,전단 탄성계수를 G라 할 때, 단위 길이당 비틀림각은?
①
![q04a03.png](http://quzcom.tistory.com/quz/img/1021/1021010001/201702071049385126.png)
②
![q04a04.png](http://quzcom.tistory.com/quz/img/1021/1021010001/201702071049441350.png)
③
![q04a02.png](http://quzcom.tistory.com/quz/img/1021/1021010001/201702071049330620.png)
④
![q04a01.png](http://quzcom.tistory.com/quz/img/1021/1021010001/201702071049271583.png)
정답 : ③
(2015년1회)
![q04a02.png](http://quzcom.tistory.com/quz/img/1021/1021010001/201702071049330620.png)
14.
포아송의 비 0.3, 길이 3m인 원형다념ㄴ의 막대에 축방향의 하중이 가해진다. 이 막대의 표면에 원주방향으로 부착된 스트레인 게이지가 -1.5 X 10-4 의 변형률을 나타낼 때, 이 막대의 길이 변화로 옳은 것은?
①
0.135 mm 압축
②
1.5 mm 압축
③
0.135 mm 인장
④
1.5 mm 인장
정답 : ④ 1.5 mm 인장
(2015년1회)
(2015년1회)
15.
직경이 d 이고 길이가 L 인 균일할 단면을 가진 직선축이 전체 길이에 걸쳐 토크 t0 가 작용할 때, 최대 전단응력은?
①
②
③
④
정답 : ①
(2015년1회)
16.
직경 d, 길이 ℓ인 봉의 양단을 고정하고 단면 m-n의 위치에 비틀림모멘트 T를 작용시킬 때 봉의 A부분에 작용하는 비틀림 모멘트는?
![](data:image/png;base64,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)
①
②
③
④
정답 : ④
(2017년2회)
17.
세로탄성계수가 210GPa인 재료에 200MPa의 인장응력을 가했을 때 재료 내부에 저장되는 단위 체적당 탄성변형에너지는 약 몇 N·m/m3인가?
①
95238
②
185380
③
18.538
④
95.238
정답 : ① 95238 (2017년2회)
18.
그림과 같이 원형 단면의 원에 접하는 x-x축에 관한 2차모멘트는?
![](data:image/png;base64,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)
①
②
③
④
정답 : ③
(2017년1회)
19.
그림과 같이 한변의 길이가 d인 정사각형의 단면의 Z-Z 축에 관한 단면계수는?
![](data:image/png;base64,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)
①
②
③
④
정답 : ①
(2017년2회)
20.
안지름이 80mm, 바깥지름이 90mm이고 길이가 3m인 좌굴 하중을 받는 파이프 압축 부재의 세장비는 얼마 정도인가?
①
103
②
100
③
110
④
113
정답 : ② 100 (2015년1회)
기계열역학
21.
온도 15℃, 압력 100kPa 상태의 체적이 일정한 용기 안에 어떤 이상 기체 5kg이 들어있다. 이 기체가 50℃가 될 때까지 가열되는 동안의 엔트로피 증가량은 약 몇 kJ/K인가?
(단, 이기체의 정압비열과 정적비열은 각각 1.001 kJ/(kg·K), 0.7171 (kg·K)이다.)
(단, 이기체의 정압비열과 정적비열은 각각 1.001 kJ/(kg·K), 0.7171 (kg·K)이다.)
①
0.575
②
0.732
③
0.411
④
0.486
정답 : ③ 0.411 (2017년2회)
22.
열교환기를 흐름 배열(flow arrangement)에 따라 분류할 때 그림과 같은 형식은?
![](data:image/png;base64,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)
①
평행류
②
직교류
③
대향류
④
병행류
정답 : ② 직교류 (2017년2회)
23.
최고온도 1300K와 최저온도 300K 사이에서 작동하는 공기표준 Brayton 사이클의 열효율은 약 얼마인가?
(단, 압력비는 9, 공기의 비열비는 1.4 이다.)
(단, 압력비는 9, 공기의 비열비는 1.4 이다.)
①
36%
②
30%
③
42%
④
47%
정답 : ④ 47% (2015년1회)
24.
열역학 제2법칙과 관련된 설명으로 옳지 않은 것은?
①
열효율이 100%인 열기관은 없다.
②
저온 물체에서 고온 물체로 열은 자연적으로 전달되지 않는다.
③
폐쇄계와 그 주변계가 열교환이 일어날 경우 폐쇄계와 주변계 각각의 엔트로피는 모두 상승한다.
④
동일한 온도 범위에서 작동되는 가역열기관은 비가역 열기관보다 열효율이 높다.
정답 : ③ 폐쇄계와 그 주변계가 열교환이 일어날 경우 폐쇄계와 주변계 각각의 엔트로피는 모두 상승한다.
(2017년2회)
(2017년2회)
25.
10kg의 증기가 온도 50℃, 압력 38kPa, 체적 7.5㎥일 때 총 내부에너지는 6700 kJ이다. 이와 같은 상태의 증기가 가지고 있는 엔탈피는 약 몇 kJ인가?
①
1794
②
3305
③
606
④
6985
정답 : ④ 6985 (2017년2회)
26.
어떤 이상기체 1kg이 압력 100kPa, 온도 30℃의 상태에서 체적 0.8㎥을 정유한다면 기체사수는 몇 kJ/kg·K인가?
①
0.251
②
0.264
③
0.293
④
0.275
정답 : ② 0.264 (2015년1회)
27.
다음 온도에 관한 설명 중 틀린 것은?
①
열역학 제0법칙은 온도 측정과 관계된 법칙이다.
②
화씨 온도 F와 절대온도 K 사이에는 K=F+273.15의 관계가 성립한다.
③
섭씨온도는 표준 기압하에서 물의 어는 점과 끓는 점을 각각 0과 100으로 부여한 온도 척도이다.
④
온도는 뜨겁거나 차가운 정도를 나타낸다.
정답 : ② 화씨 온도 F와 절대온도 K 사이에는 K=F+273.15의 관계가 성립한다.
(2017년2회)
(2017년2회)
28.
보일러 입구의 압력이 9800 kN/m2이고, 응축기의 압력이 4900kN/m2일 때 펌프가 수행한 일은 약 몇 KJ/kg인가?
(단, 물의 비체적은 0.001 m3/kg이다.)
(단, 물의 비체적은 0.001 m3/kg이다.)
①
9.79
②
180.52
③
15.17
④
87.25
정답 : ① 9.79 (2017년2회)
29.
그림과 같이 상태 1, 2 사이에서 계가 1 → A → 2 → B → 1과 같은 사이클을 이루고 있을 때, 열역학 제1법칙에 가장 적합한 표현은?
(단, 여기서 Q는 열량, W는 계가 하는 일, U는 내부에너지를 나타낸다.)
![](data:image/png;base64,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)
(단, 여기서 Q는 열량, W는 계가 하는 일, U는 내부에너지를 나타낸다.)
①
②
③
④
정답 : ①
(2017년2회)
30.
온도 T1 의 고온열원으로부터 온도 T2의 저온열원으로 열량 Q가 전달 될 때 두 열원의 총 엔트로피 변화량을 옳게 표현한 것은?
①
②
③
④
정답 : ②
(2015년1회)
31.
대기압 하에서 물의 어는 점과 끓는 점 사이에서 작동하는 카르노사이클(Carnot cycle) 열기관의 열효율은 약 몇 % 인가?
①
13.2
②
2.7
③
10.5
④
26.8
정답 : ④ 26.8 (2015년1회)
32.
압력이 일정할 때 공기 5 kg을 0℃에서 100℃까지 가열하는데 필요한 열량은 약 몇 kJ인가?
(단, 비열(Cp)은 온도 T(℃)에 관계한 함수로 Cp(kJ/(kg·℃)) = 1.01+0.000079 x T이다.)
(단, 비열(Cp)은 온도 T(℃)에 관계한 함수로 Cp(kJ/(kg·℃)) = 1.01+0.000079 x T이다.)
①
365
②
507
③
480
④
436
정답 : ② 507 (2017년2회)
33.
압력이 106N/㎡, 체적이 1㎥인 공기가 압력이 일정한 상태에서 400kJ의 일을 하였다. 변화 후의 체적은 약 몇 ㎥인가?
①
0.4
②
1.0
③
0.6
④
1.4
정답 : ④ 1.4 (2017년2회)
34.
난방용 열펌프가 저온 물체에서 1500 kJ/h의 열을 흡수하여 고온 물체에 2100kJ/h로 방출한다. 이 열펌프의 성능계수는?
①
2.0
②
2.5
③
3.5
④
3.0
정답 : ③ 3.5 (2015년1회)
35.
증기압축 냉동기에는 다양한 냉매가 사용된다. 이러한 냉매의 특징에 대한 설명으로 틀린 것은?
①
현재 CFC 냉매 대신에 R-12(CCl2F2)가 냉매ㅔ로 사용되고 있다.
②
우수한 냉매로 알려져 널리 사용되던 염화불화 탄화수소(CFC) 냉매는 오존층을 파괴한다는 사실이 밝혀진 이후 사용이 제한되고 있다.
③
냉매는 냉동기의 성능에 영향을 미친다.
④
냉매는 무독성, 안정성, 저가격 등의 조건을 갖추어야 한다.
정답 : ① 현재 CFC 냉매 대신에 R-12(CCl2F2)가 냉매ㅔ로 사용되고 있다.
(2015년1회)
(2015년1회)
36.
어느 증기터빈에 0.4 kg/s로 증기가 공급되어 260kW의 출력을 낸다. 입구의 증기 엔탈피 및 속도는 각각 3000 kJ/kg, 720 m/s, 출구의 증기 엔탈피 및 속도는 각각 2500 kJ/kg, 120 m/s이면, 이 터빈의 열손실은 약 몇 kW가 되는가?
①
15.9
②
20.0
③
104
④
40.8
정답 : ④ 40.8 (2017년2회)
37.
카로노 사이클에 대한 설명으로 옳은 것은?
①
이상적인 2개의 등온과정과 이상적인 2개의 정압과정으로 이루어진다.
②
이상적인 2개의 정압과정과 이상적인 2개의 단열과정으로 이루어진다.
③
이상적인 2개의 정압과정과 이상적인 2개의 정적과정으로 이루어진다.
④
이상적인 2개의 등온과정과 이상적인 2개의 단열과정으로 이루어진다.
정답 : ④ 이상적인 2개의 등온과정과 이상적인 2개의 단열과정으로 이루어진다.
(2015년1회)
(2015년1회)
38.
물질의 양을 1/2로 줄이면 강도성(강성적) 상태량의 값은?
①
변화가 없다.
②
1/2로 줄어든다.
③
1/4로 줄어든다.
④
2배로 늘어난다.
정답 : ① 변화가 없다.
(2015년1회)
(2015년1회)
39.
밀폐계에서 기체의 압력이 100kPa으로 일정하게 유지되면서 체적이 1㎥에서 2㎥으로 증가되었을 때 옳은 설명은?
①
외부로 행한 일은 100 kJ이다.
②
기체가 받은 열은 100 kJ이다.
③
기체가 이상기체라면 온도가 일정하다.
④
밀폐계의 에너지 변화는 없다.
정답 : ① 외부로 행한 일은 100 kJ이다.
(2017년2회)
(2017년2회)
40.
역 Carnot cycle로 300 K와 240 K사이에서 작동하고 있는 냉동기가 있다. 이 냉동기의 성능계수는?
①
4
②
6
③
5
④
3
정답 : ① 4 (2017년2회)
기계유체역학
41.
검사체적에 대한 설명으로 옳은 것은?
①
검사체적내의 질량은 변화하지 않는다.
②
검사체적을 통해서 유체가 흐를 수 없다.
③
검사체적은 공간상에서 등속 이동하도록 설정해도 무방하다.
④
검사체적은 항상 직육면체로 이루어진다.
정답 : ③ 검사체적은 공간상에서 등속 이동하도록 설정해도 무방하다.
(2015년1회)
(2015년1회)
42.
5℃의 물(밀도 1000 kg/㎥, 점성계수 1.5×10-3kg/(m·s))이 안지름 3mm, 길이 9m인 수평 파이프 내부를 평균속도 0.9 m/s로 흐르게 하는데 필요한 동력은 약 몇 W인가?
①
0.56
②
0.28
③
0.14
④
0.42
정답 : ② 0.28 (2017년2회)
43.
프로펠러 이전 유속을 U0, 이후 유속을 U2라 할 때 프로펠러의 추진력 F는 얼마인가?
①
F = γQ(U2 - U0)
②
F = ρQ(U2 - U0)
③
F = γQ(U0 - U2)
④
F = ρQ(U0 - U2)
정답 : ② F = ρQ(U2 - U0)
(2015년1회)
(2015년1회)
44.
그림과 같은 수압기에서 피스톤의 지름이 d1=300mm, 이것과 연결된 램(ram)의 지름이 d2=200mm이다. 압력 P1이 1MPa의 압력을 피스톤에 작용시킬 때 주램의 지름이 d3=400mm 이면 주램에서 발생하는 힘(W)은 약 몇 kN인가?
![](data:image/png;base64,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)
①
438
②
226
③
334
④
284
정답 : ② 226 (2017년2회)
45.
밀도가
인 액체와 접촉하고 있는 기체 사이의 표면장력이
라고 할 때 그림과 같은 지름 d의 원통 모세관에서 액주의 높이 h를 구하는 식은? (단, g는 중력가속도이다.)
![](data:image/png;base64,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)
①
②
③
④
정답 : ④
(2017년2회)
46.
다음 중 유동장에 입자가 포함되어 있어야 유속을 측정할 수 있는 것은?
①
열선속도계
②
정압피토관
③
레이저 도플러 속도계
④
프로펠러 속도계
정답 : ③ 레이저 도플러 속도계
(2015년1회)
(2015년1회)
47.
2차원 비압축성 정상류에서 x, y의 속도 성분이 각각 u = 4y, v = 6x로 표실될 때, 유선의 방정식은 어떤 형태를 나타내는가?
①
쌍곡선
②
직선
③
타원
④
포물선
정답 : ① 쌍곡선 (2015년1회)
48.
2m/s의 속도로 물이 흐를 때 피토관 수두 높이 h는?
![](data:image/png;base64,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)
①
0.204m
②
0.412m
③
0.102m
④
0.053m
정답 : ① 0.204m (2017년2회)
49.
산 정상에서의 기압은 93.8kPa 이고, 온도는 11℃이다. 이때 공기의 밀도는 약 몇 kg/㎥ 인가?
(단, 공기의 기체상수는 287 J/kg·℃ 이다.)
(단, 공기의 기체상수는 287 J/kg·℃ 이다.)
①
1.15
②
0.00012
③
29.7
④
1150
정답 : ① 1.15 (2015년1회)
50.
비중이 0.8인 기름이 지름 80mm 인 곧은 원관 속을 90L/min로 흐른다. 이때의 레이놀즈수는 약 얼마인가?
(단, 이 기름의 점성계수는 5X10-4 kg/(s·m) 이다.)
(단, 이 기름의 점성계수는 5X10-4 kg/(s·m) 이다.)
①
3820
②
38200
③
19100
④
1910
정답 : ② 38200 (2015년1회)
51.
동 점성계수가 0.1×10-5㎡/s인 유체가 안지름 10cm인 원관 내에 1m/s로 흐르고 있다. 관 마찰계수가 0.022이며 관의 길이가 200m 일 때의 손실수두는 약 몇 m인가? (단, 유체의 비중량은 9800N/㎥이다.)
①
22.2
②
2.24
③
11.0
④
6.58
정답 : ② 2.24 (2017년2회)
52.
그림과 같이 큰 댐 아래에 터빈이 설치되어 있을 때, 마찰손실 등을 무시한 최대 발생 가능한 터빈의 동력은 약 얼마인가?
(단, 터빈 출구관의 안지름은 1m이고, 수면과 터빈 출구관 중심까지의 높이차는 20m이며, 출구속도는 10m/s이고, 출구압력은 대기압이다.)
![](data:image/png;base64,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)
(단, 터빈 출구관의 안지름은 1m이고, 수면과 터빈 출구관 중심까지의 높이차는 20m이며, 출구속도는 10m/s이고, 출구압력은 대기압이다.)
①
1540 kW
②
1930 kW
③
2310 kW
④
1159 kW
정답 : ④ 1159 kW
(2015년1회)
(2015년1회)
53.
안지름 10cm인 파이프에 물이 평균속도 1.5cm/s로 흐를 때(경우ⓐ)와 비중이 0.6이고 점성계수가 물의 1/5인 유체 A가 물과 같은 평균속도로 동일한 관에 흐를 때(경우ⓑ), 파이프 중심에서 최고속도는 어느 경우가 더 빠른가? (단, 물의 점성계수는 0.001kg/(m·s)이다.)
①
두 경우 모두 최고속도가 같다.
②
경우ⓐ
③
경우ⓑ
④
어느 경우가 더 빠른지 알 수 없다.
정답 : ② 경우ⓐ (2017년2회)
54.
유효 낙차가 100m 인 댐의 유량이 10 ㎥/s 일 때 효율 90%인 수력터빈의 출력은 약 몇 MW인가?
①
9.81
②
8.83
③
12.4
④
10.9
정답 : ② 8.83 (2017년2회)
55.
다음 중 2차원 비압축성 유동이 가능한 유동은 어떤 것인가? (단, u는 x방향 속도 성분이고, v는 y방향 속도 성분이다.)
①
u = 2x + 3xy, , v = -4xy + 3y
②
u = x2 + y2 , v = 3x2 - 2y2
③
u = x2 - y2 , v = -2xy
④
u = 2x2 - y2 , v = -4xy
정답 : ③ u = x2 - y2 , v = -2xy
(2017년2회)
(2017년2회)
56.
지름 20cm인 구의 주위에 밀도가 1000kg/㎥, 점성계수 1.8X10-3Pa·s인 물이 2m/s의 속도로 흐르고 있다. 항력계수가 0.2인 경우 구에 작용하는 항력은 약 몇 N인가?
①
12.6
②
200
③
25.12
④
0.2
정답 : ① 12.6 (2015년1회)
57.
그림과 같이 반지름 R인 원추와 평판으로 구성된 점도측정기(cone and plate viscometer)를 사용하여 액체시료의 점성계수를 측정하는 장치가 있다. 위쪽의 원추는 아래쪽 원판과 같이 각도를 0.5˚ 미만으로 유지하고 일정한 각속도 w로 회전하고 있으며 갭 사이를 채운 유체의 점도는 위 평판을 정상적으로 돌리는데 필요한 토크를 측정하여 계산한다. 여기서 갭 사이의 속도 분포가 반지름 뱡향 길이에 선형적일 때, 원추의 밑면에 작용하는 전단응력의 크기에 관한 설명으로 옳은 것은?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWEAAADKCAIAAAD7MWYZAAAgAElEQVR4nO2df0Sr/f/Hz/d2HI44DkeSpD9KYhJRjI0xZswYY/bHjDFmjBljjDFGxEREIv2RSKQ/kpgxkkhmzCQj2cgmyRZbSj/2/eNx7+X6tO777r7PfZ/Tadfzj2Pn6tq193Vd7/fz9fv1/tBSoaLVqlQqfr8/GAyen5//7LGoeFv48LMHoOJNoFAomM1mu91eKpV+9lhUvC2oHKGi1Wq18vm83W73er0XFxc/eywq3hZUjlDRarVah4eHWq3WYrGcnZ397LGoeFtQOUJFq6XQI1R/hIpnUDlCRavVajUajf39/UKh8LMHouLNQeUIFSpU/BlUjlChQsWfQeWIrsPd3d3T09PPHoWKXwYqR3QdLi8vHx4eOo9fXV1Vq9UfPx4VbxwqR6j4HZubm1tbWz97FCreHFSOUPE7YrHY4uLizx6FijcHlSNU/I5QKKTqESo6oXKEit8Ri8WOjo5+9ihUvDmoHKHid0SjUZUjVHRC5QgVv8Pv9x8cHPzsUah4c1A5QkWr1Wo9PT35/X41F1tFJ1SOUPE7gsFgsVj82aNQ8eagcoSKVkvVI1T8MVSOUNFqtVp3d3derzefz//sgah4c1A5QkWr1Wo1m02Xy5XL5X72QFS8OagcoaLVarWurq6sVuvh4eHPHoiKNweVI1S0Wq1WoVCwWq3pdPpnD0TFm4PKEd2IWq02Pz8fDocjkUg8Hl9ZWYnFYiaTKRKJbG9vz8zMeDyeaDS6vb19dnbWbDZ/9nhV/EyoHNF1KBQKLpfL5XIlEomZmRmfz2exWKanp0dGRjQajclkcrvdbrfbaDSOjY3pdLq1tbWfPWQVPxMqR3QdvF5vOBxWHrm4uPD5fH19fV+/ftXpdPPz8xsbGy6Xq6en58uXL9Fo9P7+/meNVsVPh8oR3YXb21ubzba/v//seDabHR8fn5iYcLlcNpvNaDROTk729vb29fVFo9Hb29ufMloVbwEqR3QXbm9vrVZrZx7E2dmZXq/HrCiVSqlUKp1Oh8Ph6enpWCx2c3PzMwar4k1A5YjuwsPDg81mOz4+fnb85OTEYDCcnJwoD5ZKJbPZrHJEl0PliO7Czc2NxWJ5xgWtVqtUKnVyRL1et1qt8XhctTW6GSpHdBdubm5e3Pj3+vra4XA8O16pVAwGQzQafbFHroougcoR3YWHhweXy3V5efnseL1edzqd5XJZebBQKGi12lgspnJEN0PliO7Cw8OD3W6/vr5+drxardpstkqlojyYSqUmJyfVuEaXQ+WI7sLt7a3dbu/0QZbLZavVWq/XlQfX1tbGx8fD4bCaatnNUDmiu1Cv1y0WS+eaPz09tdlsz/SFpaUljUYTCoVUjuhmqBzRXSgWizqd7pm+0Gq1CoWC2Wx+xgWJRGJsbCwSiaixz26GyhHdhZ2dncnJyU6fZaFQMBgMyj5Ut7e30Wh0dHQ0kUioudjdDJUj3jOenp4ajYZyhc/NzY2MjHTmUBWLRYvFkkql5MjNzU0kEtFoNHNzc2pco5uhcsS7RSqVCoVCDodjZmaGgMXj42MoFPr69ev6+vqzk0ul0uzsrDI/otFoBAKB0dHR2dlZlSO6GSpHvCvc3t7u7e1Fo1GTyTQxMaHRaKanpyORyNnZWavVenh48Pl8nz9/TiaTz754f3//bNPwRqPh8XgGBgbi8bhqa3QzVI54J9je3qbpg81mc7vdHo/H5/MlEomtra3T09Onp6dWq/X4+Oj3+z9//hyPx//ygigdg4OD0Wj07u6u86+bm5s+n8/pdAaDwbm5ucXFxWQy2VlRquJXh8oRvzwWFxe1Wq3dbk8mk7lcrtFoNJvNSqVSLpc7c5+CweCnT58ikchfXvbp6SkajQ4NDUWj0T86J5VKmUymoaEhrVbrcDjsdvvs7Oz33o+KNwaVI35t2O12k8m0sbHxmpOfnp6CweDnz587l/319fUzW+Pu7i4cDo+MjMzPz//5ZePxeF9fX19f38jIyOTk5Gs2BMxkMrFYTP57eXm5vb39mltQ8eOhcsQvjGg06nQ6Ow2BP0EoFOrp6ZmZmVEefHx83N3dDYVCe3t7cvD+/n52dlan02Uymb+8bC6Xs9lsExMTOp3Obrf/+X5f8XjcbrcrSeHp6SkUClmt1s6Ai4qfDpUjflXUajWtVvu3FhWbcfX09MzNzSmPNxqNSCQyPDycSCQeHx85eH9/Pzc3Z7PZnukXf4LHx8fr62uPx6PX6//oHI/Ho9VqKRhpNBo+n6/RaLRarbu7u8nJyampqdffjoofA5UjflU0m02TyaSU/H+J+/t7n8/X09PzzGtwfX3t9Xr7+/uVZsXDw8PCwoLL5fq7BV0zMzPj4+Mv/mlra2tkZEQir/F4/OPHj2KbuFyu/v7+11OSih8DlSN+YSSTyampqc5mEKILPMPDwwM+y2f+iJubG4/H84wjWq3W0dFRZ5T0L2GxWP7IhaHT6TQajfLMvr4+4SC3293X10eYVsXbgcoRvzZmZmZcLtf8/HwnU7wIv9//8ePHZ7HPu7u7WCw2OTm5vLysPF4qlZ4d+XPk83k27HjxrxcXF1++fLHb7XJkamrK5XLJf41G4+joKGFaFW8HKkf88tjZ2dHpdKOjozqdbmZm5uDgoFKp/JEj0+Px/Pbbb8rY59PT0+3tbaFQ2NnZedZX4uLi4jUccXZ2xrY9gUBgd3f3j05LpVKfPn3a2triv3d3dxMTE2IrXV5ejoyM+Hy+v/w5FT8YKke8E+zs7LhcrqmpKbbSMRqNgUBgZmZmcXHx9PSUc6rVqsfj+fz582vyI1qtVr1eX1lZefFPp6eni4uLgUDAarUaDAa3262s9XgR6XT648ePm5ub/DeRSPT09EhXm3A4PDg4qG44+gahcsR7w+HhYSgU0ul0X79+/b//+7/ffvutv79/enp6enpaq9X29/d//PjRbDanUqmjo6Ozs7Orq6vb29sXKzLW19cdDsf8/HyhUNjb25ufn3e5XCMjI319fcPDw1qt1u12r62t1Wq1V44N/lpfX5+fn7fZbGNjY3a7fWNjw+v1jo6OKjMmVLwdqBzxbvH4+FitVtPpdDQa1ev1AwMDX79+/e233z58+PDly5fe3t7Pnz9/+/ZtcHBwZGRkdHR0YmJCr9fr9XqtVqvT6bRa7dDQUE9PT29v78jIyPDwsE6nm5ubOzo6ury8/CO36J+jVqvZbDabzbazs8ORnZ0dh8Ph8Xhyudy/evcq/jWoHNFFqNfroVDIbrenUql8Pr++vp5MJoPBoM1m02g0IyMjTqczmUyurq6m0+nd3V22At3a2lJruroZKkd0Fw4ODgKBQOfxdDrt8XieBUcymUwwGPxRQ1PxRqFyRHfh5OTE7XZ3Hj89PfV4PM/0hYODAzXQoELliO5CNpt9cdlns9lQKPSagyq6DSpHdBcymYzX6+08fnh42Jn7lMvlwuHwDxmXircLlSO6C5lM5kU94ujoqJMjyJv8IeNS8XahckR3YW9v749sjRc54k8azKjoEqgc0V1Ip9Mv2hq5XK6zfOtF5UJFt0HliO7Czs6Ox+PpPJ7P5xcXF58dzGQyqh6hQuWI7sLGxsaLsc9CobC6uvrs4O7uruqzVKFyRHfhjzji5OSkc9ONzc1NNYdKhcoR3YXd3d0XbY1sNisVmYKFhQU1h0qFyhHdhZ2dHb/f/+LxTo6Ym5t7MXFbRVdB5YjuwvLy8oscsbq62mlrLCwsqPkRKlSO6C7E43Gn09l5fGNjQzpECVZWVv5BP0sV7wwqR3QXQqHQixyxtbUlPR0E6+vrf6ufpYp3CZUjuguhUOhF82FlZaVTj1hfX+90UqjoNqgc0V2IRCIvqgbJZHJtbe3ZwfX19T/pYauiS6ByRHchFot1ckGr1Zqfn+88vra2pnKECpUjugvhcPhFN+TS0lInRywuLnYGO1R0G1SO6C4Eg8E/4ohOG2RmZkb1WapQOaK7EAgEXtwyY35+vpMO4vH40tLSDxmXircLlSO6Cz6f70XVIJFIdNJBIpFQ9QgVKkd0F9xu94u2RigU6qSDFx2ZKroNKkd0F1wuVyKR6Dzu9/s7OWJhYWFjY+OHjEvF24XKEd0Ft9u9sLDQefxFjpibm1P1CBUqR3QXPB7Piz5Lv9/f6Y+IxWJ/tCewiu6ByhHdBY/H09mTrvUHHBEIBFSfpQqVI7oLHo/nxXBmKBTqrNfweDwqR6hQOaK74PV6O7mg1Wpls9l6vf7soMfj6WxyqaLboHJEd8Hr9b6+BMPn86lxDRUqR3QX3G73i3rEi/D7/WpNlwqVI7oLTqfz9S0hAoGAyhEqVI7oLtjt9te7GLxe7/b29n86HhVvHypHdBccDsfr06J8Pt/rDRMV7xUqR3QXvF5vKpXqPJ7JZE5PT58d9Pl8nU0uVXQbVI7oLvh8vv39/c7j0Wi0s52M6rNU0VI5otvg9Xpf5Aiv19vpp/D5fCpHqFA5orvwR3rE0tLSycnJs4Mej0flCBUqR3QX/H7/3t7eK092uVwqR6hQOaK7EAwGDw4OXnmy2+1WOUKFyhHdhUgkcnx8/MqT1fwIFS2VI7oNsVisWCy+8uRAIPB6w0TFe4XKEd2FWCzWmQfxR/D5fIeHh//peFS8fagc0V2IxWKlUqnzeKPR6DzodDozmcx/PygVbxrvkCOKxeLh4WFnNwQVrVYrEom8aGvE4/FyufzsoN1ufzEpU0VX4b1xRKPRCAQCNptNNaRfRCgU6rQ1np6e3G730dHRs+Nut/v1QRAV7xXvjSOq1arBYBgaGlpZWbm/v//Zw3lzCIVC1Wr1xeOd3BEMBjsTq1R0G94bR1xdXVksluHh4bfWiPH8/LxarV5eXtZqtZ84jFAodHV11Xk8Ho9fXl52nvyi80JFV+G9cUSj0bDb7cPDw29qw+vd3d3x8fGJiYlYLLawsBAIBObm5n7KSAKBwPn5eefxeDx+fX397KDP53t9oFTFe8U75AiTyTQ0NPSmGjHmcrnBwUGj0cg6TKfTU1NTPp/vx48kGAyenZ11Hk8kEre3t88OulyuQqHwQ8al4u3ivXHE9fW10WgcHR19U0nEy8vLIyMjyl4MOp1uaGjox0vpF22Kh4eHZDL59PT07LjL5VL9ESreJ0eMjIy8qSRit9s9MTHx8PDAfy8uLoaGhiYmJh4fH3/kMOr1utfr7fRZPj09/dHGPJ0BURXdhvfGEcQ1NBrNs+Sf29vbfD4/MzPz4mL4T3Fzc2MwGKanp9Ea9vf3p6amNBpNPp//wSOpVCp2u71z2T89Pb24CWg4HFbTTFS8N444Pj5mBW5vb19eXuZyueXl5UAgMD093d/f/9tvv/X09EQikU59+49wf39fKpUODg4ODg5OTk4uLy+bzebNzU2j0ajVaqIa/An29/fHx8eHh4cnJydHR0cnJiaSyeT33eU/RKVSeVGPuL6+fnFIsVjs7u7uhwxNxdvFe+OIXC43Pj7+6dMnjUaj1WoHBgY+ffr0QYHPnz8PDAwMDw8PDg6OjIxotVqr1ep0Oh0Oh81ms1gsdrvd7XbbbDaDwTA1NTU6OtrX1/fly5evX7/29fWxyCcnJ8fHx8fGxqamplwu1+zs7NLSUjKZjEQinXpKKBSampqam5uLRCJfv36dnp7+o8FvbW2tr6/v/C+2t7c3NjbW19fX1tY2NjY2NjY2Nzc5sr6+zn/B+vr66urqysrK+vr69vb2zs7O6urq2tra1tbW9vb2ysqK1WodGhoKBALFYrFWq11eXp6fn6fTabfb7XK5OscTjUZVjlDx3jiiXC5rNJqvX786nc5YLOZ2u0WD+PDhw2+//fbt27epqSmTyWQymRwORzgcnp+fX19f39zcXFtbY0Vtbm7Oz8+HQiGbzabT6aanpycmJgheTk9P63S6qampiYkJrVZrs9kCgUA8Ho/FYqFQyO12R6PRZ0OamJiwWCx8ttvto6OjL2YonJ2duVwuYShLGyaTSa/Xa7Xaqakpfp3/Tk5OTk1N6drghPHxcY1GMzU1ZTAYjEbjxMTEyMjI0NDQ8PDw6Ohob29vT0/PwMDA5OTkdBsajaa3t9doNHYOKRgM3tzc/OvvSMWvhffGEQ8PD1NTUyMjI+l0+unp6ebmplKp5HK5hYUFq9U6PDw8PT29trZWr9fv7u5eLGRS4ubm5rKNi4uLarV6cXFxeXlZLpcvLi5eM569vb2BgYFEIsF/0+n00NDQT7E1qtVqLBbTarUzMzNKkrq4uEgmk+Fw+Nn5Dw8PPp/vLx+RineP98YRrVYLn2VnvUaz2czn89ls9kfqz8FgsL+/XxmINRgMyhjHj8Tx8bHT6ezMlWo0Gp0+y2azGQqF1Hx2Fe+QI0wm0+Tk5FtofLCxsdHb2/vx40fRI1qt1uzs7Ldv3yKRyI8fT6lUcrvdnfR0c3MzOzv77OD19XU0Gu1MmlDRbXiHHOFwOPR6/VtI/llYWMAv8Gy3q3g8/mKs8b9GqVR6Mbnz+vo6Fos9o4Pr6+tIJPKDMzhUvEG8Q45wOp1ms1k1pDtxcnLyIkdcXFyEw+FnZkW9XldtDRWtd8kRFovF4XD87FG8RRweHno8ns7j5XI5GAx2ckQgEGg2mz9qdCreKN4hR6RSqWw2+7NH8RaRyWTcbnfn8XK5HA6Hn9ka9Xrd5/OpeZYq3iFHqPgj7O3t+f3+zuPlclnpVQX1et3j8bwyxKviHUPliC7C4eHhi/GUSqXSmbJRq9XcbveLTatUdBVUjugiHB0ddeZKtVqtYrEYj8efHTw5ObFaraoeoaIbOaJrffXFYvFFPeLo6Mjv9z/zR5Bw9friNxXvFb8eR9zd3W1vb8fj8fn5+Z2dnaOjo+Pj43K5XKvVGo0GRZk3NzfNZvP6+rrRaNTr9WKxuLOzs7KysrCwEIvFAoFAMBicmZlJJpOJRGJmZmZmZibWRiKRmJ2dTSaTyWRycXFxc3Mzm81eXl6+g0yBnZ0dj8fT2atucXHRbDY/azmVyWRcLtePL2BX8dbw63HE6empwWD49OnTp0+fvnz58u3bt8HBwbGxscnJSZ1OZzQaLRaL2WzWarWUYFEBNTExQb3myMjIt2/f+OKXL1+4Tk9PT09Pz+fPnz9//tzT0/P169dvbfT394+Pj+v1eoPBQEKU1Wq12+12u53KK7PZbDAYtFqtVqs1mUx2u93lcnk8Hgq05BwqSvlTIBCIRqOxWCwSiQQCAcou/X5/KBTii16v1+fz+Xw+r9fr8Xg8Ho/b7XY4HE6n0+/3RyKRaDTKd51OZyAQgO/m25ibm0smk6urqzs7O1tbWysrKysrK7FYbGpqamBgwGQyxePxZDIZi8XC4bDX6x0bG6OsK5FILC4uLi0tJRIJqmatVuvKygq1p5ubm6lUand3d2tra2dnJ5PJZDKZVBuZTObg4CCXyx0fHxcKhUwms7Ozs7e3l81mDw8PC4XCyclJLpc7OzuT4hfq64vFYrFYvLi4qNfrcHq1Wq3X67e3t41G4/b29vb2tl6vIwNub2+VAuDu7u7u7o5S/WazKf+KtBDl6PHx8fr6+urqim916pJc9qfkyL9x/HoccXx8PDEx8enTp5GREeogzWaz2+32er0ss1gsFo1GPR6Pw+FwuVw+ny8QCHA8mUxGo1Gn02kymYxGI9VflEUODg729/cPDAxoNBquCex2u8fj8Xq9LpeLC/r9fp/P53K5YAGr1QpNGAwGk8kEI/Atj8djt9tNJpPNZrNarUajUa/XT09PTynALRgMBrvdTvaXVquluLMTkBRFqxATzMgRs9nMfUFY09PTRqORsZnNZr1ePzo6Ojg4ODQ0NDo6Ojo6OjAwwOfe3t4vX7709fVR7T45OanRaORpcCkYVgpMqRnlZPiX24GmdTqdRqMZGRmZnJzU6/WczxdltCaTyel0ulwuylspz+dhwrZU63OcpyqPmhvXarV812Aw6Dqg1+u5CC/OZDJxI3q9XqfTjY+PcwXuaHp6WlnXy3OD2XmnjIRp5na7GZXX6w2Hw5FIBPUTpp6ZmQmFQj6fLxgMLiwsvIPi+l+PI7LZ7MjIyNevX202WyQSmZmZ2djYODo6Ojk5OT4+zufzhULh+Pg4l8vt7e3t7e0dHR0dHh5ms9mTk5NqtVoqlQ4PD3d3d2mvMDs7G4/HI5GIz+dzu91+v39ubm53dzeXyyH6SqXS2dnZ6elpPp8/PDwUOXl0dHRwcLC3t5duY29vL5fL5XK5g4OD09PT6+vrZrNZqVQODg62t7dXV1cXFhbm5uYWFhaWl5fX2tje3t7b2zs4ODg6Ojo6Okqn0zs7O7u7u6kOIKU5jQ/7+/uI6GKxiJTe29uT38KGSiaTS0tLqVRqb29vZ2dnc3Nze3t7a2trbW1tdXV1d3d3fX3d4XBMTEy4XK6lpSXaUszPz8/MzMzNzS0tLdGcYnl5eWVlZXd3d3Nzc3V1dXNzk94WNK1YboMGFnNzc9FoNBqNcgVUm+Xl5cXFRT4vLi7S52Jzc3NlZWV5eZn+F0tLS4uLi7yRRCIRi8Ww+6i+j8fj4XDY7/ejVXm93kQikUwmQ6GQ3++Hu5UIBALhcDgUCgXaCIfDs7OzwWAQPrVarTabDV0P2oWF4SOr1So6IMqj8mQ4zufzIY2gKshrbGwMCu7v7/8pSff/Ln49jsjlckNDQ58+fTIajS6XKxKJbG1toaxWq9XT09NSqVSpVCqVytnZWbFYLLdxcXHRaDSurq6KxeLx8TGLKpVKyRpg7qZSKfRhWk7d39/f3d2h8TYajcvLy1KpdHp6ytchoFwuVywWz8/PLy4uKpXK+fm5ssc06vT+/v729vb29nYmk+H8YrFYKpUuLi6ur69rtdr5+Xm5XK5Wq7VaDdX66uqqWq2Wy2VI6uzsjA+Xl5c3Nzdozsoizqenp2azWa1Wi8WiDOzg4KBQKDSbTbRu0aXlQ6PRiMfjRqNxbm7u/PyceywUCrBPqVRqNpso6qS3Pzw8NBoN+frd3R0jqVar1M6Xy2Xsi5OTk0qlcnFxwRtBw7+8vDw9Pa1Wq3LXuVwum83y3HgCvCAeEfuSlMtlyDqbzabTabgpk8lUKhUueHJywsNRPii+Arnn8/lqtXp7e/v09HR7e1ur1Zgw/CjnFwoFaPfo6IhbQAwggYrFIhcvl8vn5+eVSqVYLCJLkEwinA4ODvL5/NbWlsVi+Vk9x/5F/Hockc/nBwcHe3p67HY79gWSP5vNIsaPj4/Pzs6Oj49506enp+VyuVKpXF1dYbuykmkDgeg+ODjY39+nDVQqleIi2WxWjGeM2EajcXZ2tr+/T+u6TCazu7u7u7uLBsE8g5WkWuTx8bHRaFSrVTHRd3Z2UqlUOp0+Ojo6PT1ltp2enqIgVCoVrOurq6vz83NuJJ/PHx0dpVIpBG8ul2NywzIwRaPRYNVxNWbqwcFBOp0+PDysVCq1Wk1pyd/e3mKTX11dbW5uzszMbG1tlctlSPDw8HBvb0+cwdfX16ylZrNZq9XK5fL19fXj4yMEAR1z7yxvVhpccH5+fnp6KjHUq6urfD5fKpVqtRqcjkJ0cnLCOmcA0Mr5+XmtVsPFUK/X4fdcLsfwCoUC7+Xq6koegkCeCQ/q/Pz8mdr/9PR0d3eH24KncX19Xa1WK5UKZMfgz87OIO7Ly0uOX19f4we5vLwsFotnZ2fn5+eXl5eNRuOmjVarVavVPB7Pi8Hmf4z7+/tKpZLJZJLJZCAQsFgsoVDoX7z+i/j1OGJvb49+Sl6vd2ZmBmtweXk5k8lks9lCoQDTn5yc7O3tZTKZQqEgqsTNzc3j4yPL7+LiAiG2t7fHnBYPXCaTSafTu7u7aPUiEiEIbIFMJgNZINZgFhbJ2dlZvV5HAWk2m5eXl2dnZ4VCgXWbSqVgChYGQun4+DiTyezt7ZVKJZSI8/PzQqGQzWaRqIVCIZ1O4zg8OjoqFouIR37u9PQU1uOm+Gsmk1FqLrIyhfUuLy+R86gAlUqFn0b2Hh0d5fP58/NzViBStF6vVyqVQqFwcXFxe3t7fX3NOuEhn52dHR4e7u/v46qEwoDkdGN8HR8fo3HAKYeHh9hrHOe3yuUyHIoDkl5BKEf0AeGBy0+IRoZ38+rqClHPlIDp+Gu9XpeOQVdXVzwTfi6fz+dyuZOTEwiOEfKOTk9Ps9ksD58v8qhFuai2AYcWi0WHw/FiYusr0Wg0Tk9Pd3Z2sL/C4XAwGHS5XEaj0ePxrK+v/5io06/HEel0+tu3b58+ffJ4PCsrK/Pz87Ozs6urq0xKGB3VN5/Po2kj4vL5fK1Wu729ZU2WSiWohAmHXgA7YLdvbW3hyGDGI+hY5xDE8fExs4pljz7ybA6x3mTZZLPZ/f196IBFWCqV8JKgBBWLReQYR7hatVoVNXtrayuVSqEiccuimXOb6B38EAoLjgyWMarE1dVVvV4vlUqFQqFSqSAYMR9ub2/pc8l1EOxwFjoOCwzBi1bC+rm+vr64uDg8PEylUvv7+7lcDm2fL15fXz89PT08PKCkwAUXFxeoe+l0mtabuHJYnygs1WoVyXx2dsZzQ4ngMxzKq4FQ+BcugGfz+TzaEOyD1ckLkkgKAiCfz6fTaeQKRH91dSUOqVKpxGwR2kIJgqa5U7FBLi4uTk9PvV5vLBZ75cSu1WqpVGp1dXVpaSkajXq9Xnzt0Wh0YWFhd3e3XC4/PDycn5/Pzs7+yL2Rfj2OyGQyfX19Hz9+1Ol0gUAA79TCwgIzD927Xq9jpmIismby+TwRNZlJKJN8YBEinTAK9vf3EVPIImQ+E+Xw8BDlAtUXTyHePnSBi4sLdIejo6O9vT26zsIs0BB8RK9tBNrZ2RkuUsgL/oLg5PPe3t7a2tr6+vr+/n4+n1cKPW4zn8+LJZ/L5fb391muWMulUun29vbx8ZEefOgp4p0R+4i/cgUuyAIgWnlzcyPOiPv7+4eHB542RsV//X0AACAASURBVP7h4SEhTygJfrm4uEC2Q0zHx8fn5+co+ahm0Bm6GOoMTIR8RvLj08Eq3N7e3tzcTKfTrFiWJc8hn89DWLhsWPw8T84Rw0FCp41GQ5xZPC6UMhQl3mOxWESf4jlAWyh3OCNgCsZwenrKMyS00TmHn56eyuUyX5+fn49EIgShXS5XNBrd3t5m7v1Rst/Kysrx8fF/tL468etxxOHh4ejo6IcPHz59+vT161dyGQwGw+zsLEtUFjOuLFbC0dFRqVQSt5lo5qwQulQiikulEpItn89jxotXTDxteEMl2IGqjIf/4OAAvZ0litBD50+n08xyaAKgSqDoikjkFpBsrFImYjab3d3dTafTnIAQPjs7wy/INEUx5r+wnhDl2dlZo9G4v79nBaJbZbNZmnrLtMNlg7XCz+GaYaVdXV1JOtnj4+PDwwOrEfscjkAUwykkQQhx406u1Wp4B1j8vCa4o9Fo4MThBsVMgAgQ6QcHB1h8CAbeDoTOkyGohJqDHYEOeHJywtXwX9zf3z8+Pt7f35N2If5UhopjCOcOAgaXMNx3dXUFKVQqFTE0cKPwiM7Ozvx+/8rKinL2FotFou90Yw+FQslkcnt7Gx/TK/P0wuFwZw3ef4dfjyOur6/J8BkbGxscHPzy5cvHjx97eno0Go3ZbHY6nZFIZGVlhTwflG0MgWKxiPbI/t04qHBln52dVSqVfD7PPDs6OspkMvl8HhP3+voaKYQAYaLgw8O1iT2CsnB8fIyWi2Wez+dPTk6wZY6OjlB9uT46OQoOlrZEQHO5HCoux7EsJIiLyXBzc4P6gxqCAsLn8/NzVh3WilwfqcuCEd2YRGyj0bixsYGagIJNyHZrawu/DOo0K5Dljc+PBCdykyqVCrYGTlzRyZHA4vaT50+oiEAGbIjHBIuGn4MBITWWImq8uDAwJxkY10dHQBkRa4jHXiwWoTMeoDLKg+dInDLEj+Am4txMBnHcNJtNzmRs2JW8RJJ63W63RqN5tn99LpdbX18/Ojp6sTf6KxEOh6empr5nEf0t/Hoc0Wq1Hh4eKpUK/vPl5WWv10v6o9PpnJ6eHh0dNRgMZDQGg0EUuUgkMj8/v7u7i3GOdKpWq1iYpDwQ7RMPAp45nOoIMYQMAgRvNvMYvWNrayuTyWDHVqtVQnrYPlAMWijinQQNrGumID4LghEE6rgIJglej7W1tXQ6TdwErwGyGosaCQZDoSBwZQJ4+FnF+VIoFNDSs9ms1+udnp6em5uDKxGMEhhCkSYYhKiHI9AgiKSI+wAy2t/fh1ZYQlwQZQ1DTxgKgYwdgcKCloEkRxmE/rD4sLwI7pL/gg0l1oGEbNBfUGRwTuGYaDQanU067+7uMDeI1zSbzWKxeHl5iSWClgcjMBhsKJh0c3NzcXExkUhEIhGXy2UymdhaYWhoaHJy8r9wK87MzHz79u0Z+3QClef7f+6X5IhnuL29ldDa4uLiyMgIm+tIajbJLXq93u12h8PheDy+uLiIoiEmAOsTjhDdFbc/ywPL4uTkBImBM69er0sAlQXP3GLBINxYtFiqzLBCoZBKpfhpHPViDuC5FOfiyckJuka5XN7b21taWtrY2MCBKgYUSwLrnXgN/k4xTwguolIhctEjWBVHR0c+n0+r1S4uLgrLEBfAj8CqRnWCWW5vbx8eHoh9osmzRDkTfw2rV5wFPBYsf1nSfIBl9vb2SHlAWWORo73ztDFJsKSgTmwNFA1+CN6X/BG4BkWGr/MnTIxnU4gbF80CjxUxKfj9+Pg4lUotLCzMzs6SehcKhex2u16vZwe28fFxk8nEHitk2fxHE35+fn5gYEA2belELpeLRCJk0Mdise9sJvYeOEKJ09PTsbGxkZER1Apy40wmE1vpkD5MQq4k2AaDQTbaWltbS6VSSJtKpcLsFKcmwhmXGLNWEoQODg6w2zEu8Kszv8UhyopFlcjlclhAxGuJXDLRuXi9XkeTx5PK5C4Wi8Rlke2EbIvFovjYxWFJQAfTCepBM9/f3ydVgfgOZn82m/X5fCaTaXt7m+gGQJdGiuLLYOTi1Gi1WjgsWfCIWUl5QF/jfnEZkO6F2d9sNslrgJWq1er+/v7m5ub+/j6ZTkqPI+tfCOXi4iKbzUJ52WxWVjJPGy6u1+vKNLOrqysImn1V0A0lzw0+wnPBvZycnGxsbKytrS0tLZHaH4/Hg8Gg3W4no5wMdGba1NSUVqvVaDQOh+O/4wUlIpEI0/jFBK2DgwOtVruxscF//X6/2Wz+np97bxxRKpUoRmDlUyUllVGwPpUFE21otVrSb8mujcfjm5ubJB2j22PHokoADGPmLvNva2treXl5a2sLOxx+EfchFg1KO+kAWBCE7s7Pz+v1uszRq6ur+/v7p6cn1ic/jYGDt0KCfGKEE6hnORWLRbR9YhbiWOUIYUgika1W6/7+/vT0dG5uLhwO7+3tSb0TRgTJpuQFsPZQQGTzLtRyLnh7e3t3d1ev14UUkMCEinAY84sizCVBU9yrKCwYdARTK5UKERAUBJQCVBWhIXyHEtfASMTWwAGJNoSG0mq1bm9vxS2CQUegZG1tLR6Pe71eSkWsViuFJxMTE+ikVNxIgR/FHdRuaLXaubm5HzPJbTabRqMxGAxOp/OZjlCr1SYnJ5WJW6urq729vd/zc++QI8bGxsbHx+Px+PLyMoUYoVCISsdEIgFrUGolL1un05FmPz4+TnmVw+Ewm82keweDwWQySdXjwcGBuC1OT0/xPDUajd3d3fn5+Y2NDWYtObkYLMxd2IE/UTqBoYHagmIv18TTjiNDYnWSoYScZIFBELADB3FD4hCFTYhi4grF34bpzgrH3EilUkQiuAi6Dw5OgruSCEDUgKeNuiFpS/f391g9jBn/BbrP2dkZHIEZjznGMsYyInSCR1Dy0Fjej4+Pj4+PxCMk5IHjA5UKfyQx1IODA+KUOJuwcXh6Yotls9nV1VVqZBOJhMvlknozdnilko2D1IZRp0eJoN/vpzyXeg1oZXp6en5+/sdM8kAgMDg46HQ60+n0sz+FQiGNRqM8sr6+PjQ09D0/9944olgsUqEYjUZnZ2ehA7/fH4vFmBMzMzPEop1Op81mo9rSZrNRukMND5WLqJRSy2iz2aj19Hq9Uuq3sbFBUG15eZlULhJ7mPT4L0TUo4CcnZ0dHBywqe/Ozg4pEjgpxPUAX2A4EHHEe0dm1PHxMWsMXYaVcHV1RU4xPnm4jFUnXzw4OGCdyL8yJNR4NHCll7FareIb3tvbw+JAIKOoPz09KV39GCB4UthFMZ/P4/QpFAroGlgNyuIUEjdRqU7bhTDoAqgSMAXjYXiinkCC5BpQepPJZAiO5PN5otHoCBS5YTjg26ZWlXYB/f39g4OD4+PjYoc6HA7mRjQaDYVCDodDyoip+qW0N5lMLi8vh8NhrVb7wziiXC5PT0937izbarUohlYe6WSNv4v3xhHHx8fU/FLtJ7pAKBSanZ2dm5tLJBLRaDQYDEqLB7vdjm+C0nJlQwdSX6WqT6/XDw8Pj4yMjI+Pj46ODg0NTU1NkQ9HGIVKRxo3oCacnJwwyzGtWdvFYnF3d3djY4PEKmKiGCAkPuLjkOqv4+Nj1k+hUMBCgTgwIiS1WRntwxWPRo3jEyVIEh/5upQkUXNFvROZI9KhB5pAsYfvUEN44FLKUavV4IjHx0dSKkkSwXN2cHBAWjfRjYuLC6wDiINwpiSz8ExgEDQvMkdQuCRLncioZLWtr69T5ErMe35+3uPx0LYDq0Eq8dk8GUagUnNiYkKv1zscDncbtPCg04fP5xNxIkYrE4YC1kAgMDU1tbS09MPmuc/n60yR2N/f//z58/T0NIpbNptNJBKDg4N/slX9a/DeOKJQKLBrdjAY9Hq9aAderzcUCiUSCQJU4XCY1He0CSaQyWTy+XxCH36/f3Z2dnFxUTzY8AU7buv1+vHx8YGBgb6+vvHxcbwb09PT9JgR62Zubm59ff3w8BDHJ/ozpjXqPSCkInVQoieTqiiZglgNqCdi6mOtoL1L9I6InZQnoVawpYBkXiPnuQg5iyxyviiJIVjsYjKQX0A5bKvVur+/x1FCagbZjfgabm9vS6US2c0krUpwBNsEfQGz5e7uDoWCoCZBIly5UCTBCwgCjyzp2Ds7O2tra/Pz8yj8OBGQ+WazeWpqamxsTHpGGAwGSrwdbaAV4tv2eDxICKfTST8LUqHdbjddOdjSnX4/dL4IBAJMKrvdPjExsb6+/sPm+fz8fGclyOLiYl9f38zMDBHxcrnsdDo/ffpktVq/57feJ0eYTCb8DrzsYDDo9/vpIID/khZPtCGw2Wz4LL1ebzAYdLvdVqvV5XLFYrGFhQVSZZEn5BqhYrjdbqPRKI1JxsfHcWdMT0+jcej1erPZ7HA4gsEgfRnwaMryhhcwCqQNBGp/vQ0xKJD8smDQNQjEki8IL6BHEJgguIgqIWnXOPNYyagA+/v7iUQiHo/ncjl0ENwcrGQylyiiRzoJOxD4kPCkVGoypHq9LnoB7oxKpUJIFRJhVLVajRdH9ic+F2IWouNImtn+/v7q6moymZydnY3FYrws7ERCV5OTk5iHUDlhLKvV6vV6pbUX7R5o6gWbc5BUGlQGg8Fgs9nC4XAsFvN4PATFeJvolXyAVoLBoMlk0mg0m5ubP2ye7+zsuFyuZwcTicTExISyBenKysq3b98WFxe/57feG0fk8/mpqSmz2RwOh7EaIpEIbUUoJKfEA1FAZyFRHeEORJDL5aKzUCKRwP6MRCJOpxM/NhLG6/Xi78TFPT4+rtPpUEoNBgMmj7Jtid1uD4VCtH6hdcrCwsL6+jpxfqiBTKGrq6uHhwcSe8TridYty54VeHFxIf07m82mtHLDdS9Fbtgp1WqVhS1inyqsSCTidrt3dnZY5EhsYrH4QfB64vKkxoHcShycEjiEL6S6lOVNKVoulyPgiq1B0JREZoI4tKUol8vkdxJlwH8Ui8WQ5w6Hg8iC0WjkCRNxQDugSQx6hKUNm80WCARwQ9CfhtfNaT6fLxKJwPiYln6/X/QRt9uNWsFblkaEzByYApaBI7a3t3/YPD86OrLZbM8OhkKhZ/mXfr9/eHj4O/e1fG8ckcvlJicnrVYrfgfWZDKZZH5Eo1GJbiBYqKtj3ghHkNBNg1wq8LxeL0RDQzq32818slqttDOiGZzD4UBVoVsRfGE2m3U6HXFWOqPhVYVErFarx+OJRCJ0haLFEzkI9XodC4WliwlAdgMRO3z4nMPKJKEYy5+Fig6CPc+qRjtA46jVauTbOBwO8b9yTUltlCoJooySfIFCSzLS09MTNhTRVn6a72JxkMhwdXWFfcS94E/B55rP5/f29jY3N1HcfD6fxWJBgNPgD02NiAN0gDvZ7XZDIhgRwWAwGo2ytm02m8PhIGtO0m0xKJAWwWBQZIZoFri0cVS5XC66UTnbkLgGnfWgCbPZPDY2tra29sPm+ebmptFo3NvbUx4Mh8MTExPy31Qq1dfX9+IOr38L740jRI/AsyBuSFwMsVhsbm4O8xXTgzZnBCyCwWA4HCafAlGPtslMIrsOeUXvWdRU6W7IBPL5fKKhiC1jtVqZ6LRaJP1meHiY5DwogxgbBDQzM7OwsEBWZT6fJ2EZoS29T8gjImuL1YsdgS1TqVRIWCBPifgF1ke5XJbQaaVSSafTqE7b29tSHMn5SvDFYrFILzxRfOjsRAssvIlwBJoOJRukQhODSKVSW1tbmFqrq6vY87FYjMaWJpOJiAOMIGFIGhdjPqDl4TWwWq3BYDCRSAQCAZY0JgOkTxciuubRyY5XHIlEoAxlh2HWPLoDRB8MBkOhEK9S1FLxYmJ0kIZnsVjGx8dXV1d/zCTf3d11Op0IG6Xykk6nx8bGII5SqTQ5Ofmd2VPgvXEEcQ2dTid+h2AwyBt1u93iucQxiePa5XIhcFA0+KLot9IlkenFsicGFgqFoAmmLDSEsipkQetUZBoaB6qH5H3yAbVZo9FgTrNI6McdCASWlpakhST9IzKZDA0g2T0APwXRQQKuOB1JhSATifwCqqGw8BHySCSdTre1tQX7oEFIWFHKQ0mpJl9T8iwowcJJKQlU6A5Q2MnJCeYDsUmUOJ6kwWCQZrmjo6MjIyMajUaj0eB1JoOewDPCXFJjJSAFWbPayaxFzrOAUfdgeXFMiu4g65zTKM2GGhAe8Xg8Ho8zAdBNIAs6G6GM4JzyeDx6vf6H+SNmZ2eZPD09Pc82T0okEk6nk97Os7Oz/8rPvTeOyGazOBF5edI6lRdJy1PkgNJNxQQSPVMmjSicohcwh3Buy3SU0yAOaYrPxEVTlQgrDbIxcTGt+S+WNsFa8v+Jm1AaREoP+V2BQCASiaBULy0t0TWXvAm0/VKphMZBsBCpzvqXinWKU9AjcPttbm6S4EgohKwNirtI5SaGQtoFddPKbk7S+49ytYWFBeQwMpyQISEkaHF0dJRAMqmu+Hp5CE6nk3CDxWKhD7jZbIbHpX026SqYDH6/XywLhAF8DRdgF8j5nAyhEORmNwPIHcbhi+iYsBLzBFuGFBvO55pUFXZmNP1HyOVydHUfHBzsbDZzdnaWTqe/p670Gd4bR+zu7o6Ojk5OTmIoYotid6B20rKZuAaTWCaTmA+wifgsfD4fiVjMm0QigZdLmU6DOJJrMuc4Da8EPgtytCSfF0cmHlO4gyXBUpmamtJoNOjb1BEODAygQEpHfIY6MzOzuLi4u7srCRSSH0UIEwck2VCwA2VXxCY9Ho/NZtvZ2SEs2mw2pUcbLIAbgmRN6R9DVgJdc1Kp1MbGxvz8vJh4VqtVuumjKIkLRnJbZdMAWdi4b1i0qGyiQSh7WEMZaIJQieRB8sp4lWiCfNHn82EtUnahVDokyCXmCccZAxspIDwwRsLhsOggZFtZLJaJiYnd3d0fNs89Hs/g4KDJZPoBv/XeOGJ5eXlgYGBsbEwiVUw+KD8SicARcD9mBbEP2b+LGcMeOcFgEM+FzWaTBu3IGbiA87m+bO0BNaCnwBHIMeY6OeAkbkrwjDkn9alITiY3moVUHHNfZrOZhSfbc2Clo8PjBF1YWMhkMtLQGQuC8jPyC7BfNjY2WEjpdBoH5MPDA0lNeBkJWGAybG1tLbaRSCR4FDxMh8Mh1oFWqyXNjGCw5C8xeMlQIB4hHM2CJ3zwbPOhZ5se8ehQ4tg4gywYcUnycrkyH2ZmZtioDeoHdNOXgDdBa7FfkCWoe5CIzWbDYg0Gg1AhdKPVaoeHh7e2tn7YPJ+fn+/p6Xl9I7zvwXvjiIWFBTgCIxbJ43A48E6hBWALMDOQ/xxBNWBewgLQCgonngtc2ax/phecgsk6Pz+fTCaZPZAIOjNglqMCYIDg72CNIczRbDFMsJ9RjNE+SOJgbYhfg4gJusb09PTQ0NDQ0NDExITJZMJNS+kKLbzZw4KS04WFBTb7QOXOZrOtVotaMnLDKUXDy7i8vEwYmMHw05KJgFKAM4WEJYwjxgw5YiUFAgFx6CjdgXgZRO2SnZMw2STcyF+xImWnMjIgSFrDo4SQhzV4HdRu4qoUXobWQ6EQyiDaCq8Sv1UgEOA2YQeMIJRT9g3BaW0wGEZGRn5k7PP8/HxwcDCTyfyA3/qdI66urtLp9Nra2tbWFllu9CZ4sSHH30KtVqOZIlXJr9+Pl0xeLG0apeBpoyFCpVLp/Eqz2XQ6nb29vWRJI12l/QxkIVuzBINB/Ig4w4m943oUzX98fBxBQVYVZjN1okxWSeBhDolQRVllxkMrXEeaWaAm4KGQPF/YBwpApkFzUj+ClIPF+Be7lL/i3hsbG2O7LZYu3m+j0QgNIZBx00j0l9+lBR7+RZoJz83NkUTE+qFRAlEY2WdMr9dz79CWKE0oC8q7Q9UKBAKchucS1nA6nSQyIvZJe2OrQRLh0KS4DgYFLMxSh2oJcrPg+TlljINzcEhBdjAISbSQPpyOkcLFsTUosuSB8+Sj0ShVYaiQRqNRo9E8i0T+17BYLMVi8Qf80IdWq/X4+Li6uooLBOuXyNzw8LCEo1ldGG88F7HVAd4plG3Im7crIoWkN7mahBUkcUWsRHZekxgYchI/v2zbaTQayYSVlKTZ2Vmfzzc2Nvbt27e+vr7h4WFEnKwW2aaNHAd0VNkLb3p6mpslIQrJPDg4KJ529Eka2JBSKUVBUvqF/o/8lG37+FH5LzeCTq6EDAweGR8fRzUgUErB+7OdR9m2j9uUJHGWsXKjPYKsk5OT6P+SnsxN8btWq5WFgVmOQaRtQ0ZO5IUxiMXEakQvwBx4tiWq5EdLGJhcEuaSy+XCdDKZTMwrlDu40mKxyD0yTvFQKBOllPU1ojkyXTEiZA6jTaCYSPBbNA44SILZNpuNjf/IZMHSwfchyf5Wq5Xnf3Bw8ANWrGB2drZarf6AH/rQarXu7u4ikQgb5H79+vXLly/0ku3p6ZF9censxMxAEhJ9US5+pZKJ47qvr4/dd799+8YF2YC3t7e3r6+PHSXZ8qy/v7+vr6+3t7e3t5eTv3z58uXLlx4F2LBXSQGy/aR4/icmJkZGRsTPp9yQkrodogZs98gt8Jn1wxqAJWEBaregCYL2gF+R72o0Gq4Ag7Cq+SxbXeKAJBFIYpwC8epxNTmZS/Etfk6Wq4j0Z2MWSpW/ygifBVmltlVSyHnLNE2hek10B/mi6FOyLym0BQ9yKTyvvCA8LJhFyuYdwp6McGpqCn2B1yQ8JeejtkiuBLcpnCVjYFSyNyqkj4RA40N0PYuqSrabUDCOVdnrVDnhZZJzHXaN9fl8pVLpNauOvYu+Z/9hNu/4MRsFfmi1Wre3t+FwmAUse2qzXFnGiFMeKMYkxrByK1cx/iW5kF2quVRfX19fXx80oWQN2aEbyujv7+e/QiJ8EeIQtmJ6iXtfpgjagXLGSB60WAQSUcP1JQ4C2UQXMS67DTOD+cykZxqJ/BeJDZhATF+UCFlLsh8klKrcXFeWsZIsRM5LpEMEON9FKWOQUlfGIhFPgXI988qMRiN3x5Jm8bPYpPAJac8ghVJhIiEXGbksYP7LXfOIGJU4KeSmoBuuo+RWUf2U4Kd5MrI4ZWdNJoOyz5jyW8qhypsSFhYaffG7PBbOFJoQoTjZ7k8n4nBoaIgpBMdBPfLidO1tiskKwR6U0p5nvIbWg/uM1AxcJ9hffr9fr9dTT0hOFxvfSt66+NRjsRg7ti4tLS0sLNAziX0bqCTMZrN/6Uz40Gq1bm5ugsGgcATrtq+vT4T8t2/fcASSwigNF2Q3PWm5gR1IJHxycpLv9vf3o6VDGc/A+u9tQyiDXa0BwxgaGkLrk5iFJB2gIorPnMGg6zIkCWFgOUu+PeYlkQKLxYKty3/lTmEfcVKwLFGhhaF499jMIqZksVEjBJlCNLK2+YBCy4wX6UQjA0kZkp/gAxMRlR7KhvXEdyBpSOJA4a75OaEbWR4MRsw9BCxXZiTyKxCuhHIFsrOu8jMD4GHKd6UQU9iNGxcbSkIhSrKQE4Ts4D5ze0txyFRSTiQJhfP5XSFEoQal3Se6g5JixMjiasLvQoi8PkgHzVSj0QiHYrmTIQb1SG4I2h+GJF9/ZllzBVHfYChhTOF6kR8MTL4+OTnJnFG+YmExPv9lueqHVqvVbDYDgQDKvHDEwMAAtvfAwIAcwWEund3E944nmfnKOjQajcPDw1xNOGJoaKi3txc7QhSHThODn+tvo6+vD9agfwbrjV9hHuPBZgyS7MREx8sFEeAeV+YjMH4SsVFBOZ+VDGXY7XYRC2gcTEHWjCQ+iW8SlxuPCD5iJcifZMkxa7GlLRaLTAVZwEx9YQGJjIoWIyufExg8vCZLBdtBWTEt+r9SQzEajRL9wZXLPcqzgj1dbcj9SitAnpV4K4VouBTRSpEuMB2qmfAsvwiZ4i0SrpQ1wE3xwOFinKZy4+KwEN1WPJ3C0Ur7SNhEnEFKomE8Op0Om1H4i99VOp7NZrPQMVcQFzUPnOtz78pbVooZGTyDfKaEiunEUpdZIZoyty9cyW3K8ITfoTk+63S6ZzuAvMwR19fXfr8fjhBJLv7L4eFhFAoscLxfPCB+FVeQOB1ZqBgaMAL8wnWwZXAriCkhNCE6hZJBOIIiJ13DmHCyzGABKZSQZH5xmzHdJbjAFxF3HOfZiQYOGSk5gi+a2mB+KGU7y4yFxGvjUTAPYE9xB4omQiaPw+FAooqotLZ79oqsZnaKkNS1KxGVa0PuRSYWslEYTbKb5Ua4rMFgIC4DqSG10GJ4gDxYdDRIDeqRZGQCQwyJlSkPXwhXmTqpnMf6dikn64TXpBykTDZjOyeVd8FtSuTo2QrnGUrQVOns5MUpvRiyUJXvl7vW6/VjY2OsK25cuTLl1hDXoiQiUZhL8saVtrCS9eQXxTMqb1lpLMsvcnGhKomLKZVo+AKiVLp4Te0CWSjmL0vRPrRarXq97vP58AuyJsVBMDg4iKqP3w4/1ujo6NTUFKSLGCdZBT8FgxsfH8c66O3tRWsYHBzE9BAfxDPXw+DgID8kNo7YO+gvEsIUjmBC8IyQXSLlZBHK4xZ/xDPfO1PZaDSKQouuqNVqZZHzXRGe4tGQt44MsVgs6A5CXkxcJUMpJaHEd9CJRKaZ2mXIUnfItLC0Y6Wix4klwm1yDlygVKGFL4TvRMLjSpyenibiSME7aioCQBKZIV8GjK7BACSqqlz8omqZ25kd8Lh8UcSgKMDcO2+T4XFcLqhcJM/YB/5SLn5+RZLQlCzwbDUqf13fzo7n65w2NTXFpi1Ke1NIytgOmXM7suy5ptLWw26VQJsog3KPomEpGfzZA5G1jVUik5PX5Gg3thC9SVjJ+L9mski4V3FErVbzer3CESLMkf+ydHEsId4Jc5ja5ivJsyS9Me2Ghoa+ffs2Ojra39+PucF1lM5I8WUCrgw7RJGDpAAAFIZJREFUyBjQXyYmJgztbXWYdkwIEYk8R7KhxcpQap5MFBHalnbATJqUiBLBAsPjCPXwiC3tWm/RhMXLgNzW6XTK+SpKCkudFyZrW14nOjzah4xErBtZotAE32L8XB+XCvJZ5gGvgOsonY5Go9GuyAoXhwVuRZvNBtfbbDaMEUu7JtrRbuJG7pOESK3ttk5KHU1WnaSQsAzs7VJriIAHopSlYgRxs0qNCR+BVtHBXKjfarWKtQsBiZDns64da1MuS2F8pdAWia1kfwwNOII7Nbf938IXSA4RSHJQJiEPEAVTotS8ZdERhKfk67Z2hwGRiOa2y8lsNnMRpaZpapuu0iyLGaWkHrFKhEH+shTt9xwq4ho9PT2I+t7eXqGGoaEhPrOwxU1AC2kxg5FmvGmUiG/fvg0NDfGtwcFB9IhnDlGYQqwPnMN8F+1DOjvZbDYSNLhtWW9CsWJxONqQOIu4HkjjF33H3k6CEmWelQlNTE9Pi82GQivqnPKgPGuhZ1EFkZC8NohAWS0u1rJIAC6l9LSJDimaC9ovNgsvW0SoiEFRzmWNoSkw25jZPEP4jllrsVikWSM3bm/XocBlUv9KYw58kCK0bYoMUaEzUY4kTsS65XXwnEV0iyOT4YmhZGiHSFiljJkj2na6jbwakbe8BaUnUmiCW5O/cjJ8KuqPqCTiTtbr9cpcTyXbKglFDBb5k1JUKLVFsa3MCm+rkuMkSii1IZa2h55pQLKvUmWwKSrfGKGSDpRmFN8ym81/mUL+O0csLCx8+fLl8+fPIt6hBskaQrYTWcCtgCqB4irPCxUIJUIMFjhCnBHikhRbg4Ao5szY2JhQycjIiMxm8uTj8TjJebg/ROdk8SgLflmEsqTNZjPFETSAEXNRqXuLEcu3ZH3ynojgsD7FouFV8S6V+byimDAJSOUkRkWFmOiNDkWzPBmtUhDJ+2ZWYWfxX67PnLC2nZoyTa1t151YXqS6QaNofySY8i2lIabUsyQZnMIWEhBRG5W3KXPX0W6lQRGU0skqthKnGdvuUlH+hdNlLZnaSWWipvG7BkVti6wEZ7sGXwxhuTJDFToT63J6epq3YDAYUB717QilmGmYnzieuUeeoVhb8J1oOtyXtg3hRNG5YHyDIgAkHCHkaGy7wJTGpiihCDzZQFD4UaSOqHVMV6X1bWs7oSHK1+oRe3t7Q0NDxA76+/vRKVD1idOwnkmq6e/v//Lly+DgoCQOiCphtVq1Wu3IyEhnmoP4F8jghDKgD7yVpAANDg5+/fqVLCmtViuzmURaqblmZSoXuRRZELzkcYifzGQyMXH5r6UdyTN2eAft7UiNeGHt7bpvjhiNRn6LTFN+ztr2byGKWeqyVknpo90+xM8YMOblv/CF6NLCEVxWBAXPGcFoNBoZmygXSg+cKDLcL2ULPENmEg9EHOCsJSYTY5M6K0gE9yR/ko5bonSIlovtKf1jRV8T8uW1mttxIlFqpACPvxrbWQZKqatUwbiymELilzH+b1KJUeHo4akqTQxWncFgkGxOc9tDLJmBTHWJj7DqZOLJvfC0Te00MKVOJxo+r0NesXyWEfJBZq+9XQ0g7GlqO8h5F2aF650TmDY8DSYMtCiWKR+YzK/VI87Pz41GI5X8IyMjpDkNDQ0NDw9jjIkewfr/+vUrGRN4tuzttuIsGJ1Op2x/APtgv5B2Mj4+Pjw8DBGQ8iz2CHwBbcvqZXlTq2tvZz3INDIporCk9/J0xFx/JqiVD9HazgpjVXMpmcqmdrSf9yGOBhHvznbGgYQPxZQQI4K3KxQmPGWz2WSlyZmsN7FZuA5+FtFcRGswtmscUP5hT3s7dKJvJ03KLCRpmiQcmeJi2Yo+aGlnT4snRe5IZpsy/9reLsfgiK0dRVYqwMxgicua21EhvSL/TWjC2+5Xbm778JU6hb2jsTU3pfQ0ieNAHBm6dnWsSHKLIpvD1k6lM/9v6o2p7ZuUOJfUvFgsFl075czW9oyKYitDtSuyVxgzfxWa4zZt7Xiz2KqYElLS5mi75EX8GNrJrIa2o9fRdlQxZ9B0zO2YKJMHGSaeuL/BEdVq1WQyEa3Q6XQkvRHFkA9SyiGLX/ZBFR3b2e4Ogm+GTJLJyUkUBzhidHQU30Rvb+/IyMjk5CSpE5JYMjk5yZp8ZvnzK4Z27r3QpPKzspqYI1JSKbNBjDpHu9eYeOYtiuICa7vBnBLEPiRRGr5j5MKn+FmJ1DJHxYSRH+VFSktFT7s/oghkWSTWdhqCKEfKyY0SEWhDCEisYhEj/BxUQpsMmbJQiUxBpbvE0Y6lcUSkk9LS9nq9kgLodrvN7YxmpVPG0fZrMM0k41syPkTTlsUjVs8zc92iAG+cUjqbzSaMIM5ayZ2X3HyxUEQ9sbR7QIifWMkR3Cx2B/wlxoLEyI1tCC+IK0HoXvw15rYfTSaDSHVeFu8F+SENSsSIkMlpasfd0TjELSW3gDUnVCLeK/4kkuYvy1V/54h8Pk96LONmojPvYQfJdBwcHBRfA8YIvj3RV5/JTxnrdLsuaGxsDE8HqRa69j56ksNvsVgQm5iIQi7Dw8PEOyTpVdaJOAWoBeLhysKg+M/cTgyVRCD7/5ZgW9puP3072Rlqg87ITCfuy0SUpy8mpbmdu01eCc8KTzBJOJZ2zI9piuIjlXIyS7ztbcSeuS2eLRhLOzIvMl8ZApTpIpkjVD1R2ki9I8aCqCTKkJCtnX3E2GztVtFYRua2gx1Xi7R1k+CC2DhKNRs3CrmJ5razXRa8VQHL/zqAlXa7rZ1Bp/QraTQa3hR1A0xmqIE0R3RVeR1iROj1ep65UJu8I7ERLBYLJzO75AaFYpScJetTabiJAmhX+IPl3XFZaW4mByV92d6GQxHaFB3N5/OJn0vGIEENYztNSwxPsTtgutdyRDabHR8fHxoa4p2Rfy75VF+/fv306dNvv/326dOnz58/8y/FF/39/fhyrAofr0GR3eFq5+cxJr1eL7n6ogSOjY3hDZU8WWO7pIeX5HK5QqEQhrTUm1osFqS6URFCx5BWupQYAKYXOpi1nWwnCao6nQ7VgPRYcYBDMXS+nZubYzvPq6urv0xxr9VqmUxmbm4Oy5+7ltotsnHptS9eN2vb8yxWq3IViRUjSoRe0edORJlJEe3jvnh6TBrUFh4CvXCw18ShKGJK6WBztfPTLe1ee6a2D18ZLFDGF0ViT09PS/2bFHRoNBpdO1FdbGkIDuKW48pnIr4h6VLFdNLr9VNTU0gds9kcj8d3d3eloyeNwo+Pj3d3d+fm5lwuF2ogKgApPxgRTAzRvJztXH4eAveCwYg1J5a/iHflB1s7mianKf8kq1SYXXqIINuEWRxtL6mSLMTQxocN43u9XqUGYVX07zK3cyufeU+5ws7Ozqs4otVqzc/PG43G4eFhKdD8v//7vw8fPnz48OHjx4/EI/r6+iYnJ00mk8vlQsGbnZ3NZrN0baZ5USqVikajJpMJj4NUYRGlx+OgrO9CRA8NDaHuUoiysLCwsbGRzWZlz7hOFIvFZDJpsVgYs2RzYgVISuj09DRrElUFW4kzqUCx2WzoGnSy29raYiuKf7EjYKvVajabx8fHGxsb0WjUYrFQwy5BX8lVl3pWWfmyhCwWCw72kZERpVRU5qRJwa4cHx4ehkmJpbMIUSXEfcU6xOaSuLqlHQOG2rAQGacEyCcnJ1m0rvY2qHNzc3SdkE2YkW9arZZXwATAHMPAxChz/K/fUQxDxuZQuAm1Wq1GoyGFd2hoyGKxxOPx9fX11zdTKJfLu7u7MzMzer3+69evhPMID5NMKZQkBgLshtLECMV4ZMFb/zfVQlajktxt/xt0sLXjYo52wzS4AO+p6EFSEiIlcwgDor9msxkxBmtgDYmVYWu3xuF8g6K5EckaBoPhL1vsPe9Dlc/nNzY2lpeXFxcXY7EY0iMQCMzPz6+vr6dSKTZWYNPXZ/uaK3F/f88GcGtraysrK7QJo0cQDz0UCrGfKvviygZQfxdPT08HBwd0WMVFDxFIGYy4M3w+H5txbmxs7O7usmvmn9zCf4qrq6vDw8O1tTXaxhsMBiGvwTbEiYPgHR0dxZdMxMfebse0sLBAj+y1tTV52ktLS4FAwNDeqAYdDX1No9GggyCElWq8sZ12KR4WmBQb0OVyLSws7LSRzWZvbm5eeb9PT0+yC/n6+no4HDa2K3pI/IeveV/i/dErKlyhBgyKsbExg8EQCAR2dnb+RIr8Je7v7zc2NhwOB6QDX4+Pj4sKI45GvBtY/uIlUWrsQuhKuxsSsSvSrpztMhb5CmWjYmtjpYqnHwOfF4Glr2zygtrLs5K+JPp2OS/CxtreoEhUP0M7TYsvvtbW+HPQ5vBXwe3t7e3t7a815larxSYUBwcH6+vrssMoEgBXAlJ6c3Pz+Pj49Xz6+PjIPhonJyebm5vSbtNqtZIdhLo3NDREPhLWWTgcXlhYYPPBy8vL/4hJm81mOp2mFb3H4zGZTJPtXbwH2hBSQ66sr68fHx9/Dy/8EU5OThKJBHVG9C4ZGBiYmpqCQClORTI722ls1v9tOCrGmuRKSJkmXn8pPqLKER0BARYIBJLJ5OLi4vLy8tbWFvsh0GdYCXZLp9VwOp2m6HtmZobWm0oCUqbYorKR5SzFEMQoJyYm/oatoaILUavVVldX9Xq9x+M5Pz//2cNptVqt29vbWhvsS/Z6beVfQa1WSyaTGo3m06dPHz9+ZDkR5hcfkLhL7O2qk+n2TmJDQ0P478SKpEDbarV6PJ54PA7Lyzbr/zXYhwmwTTR7srJ/0mtEqcoRKlS8jGq1urKyQrc70XEwCaUwGhEtmUQYZXa7PRKJLC0tHRwc/LterZ8ClSNUqPhrNJvNUCik1+tXVlYKhUIqlWIXMhpEs1vy9/See8tQOUKFildhY2PDbrf/7FH8BKgcoULFq5BKpXQ63c8KhP1EqByhQsWrcHl5aTAYjo+Pf/ZAfjRUjlDRWlhYKJfL33mRx8fHu7u7f2U8bxbmV1RSvz+oHKGiZbVav2c/2/n5eUpXSIsOBAL/Rf7C67G5ufn9lPcizGZzIpH4L678lqFyhIqW3W7/xxzh9/sHBgbi8fjFxUWz2Tw6OiKB7/Ly8t8d5OsRCoX+o+15TSaT2+3+L678lqFyhIqW3+/f39//B198fHwcHx93uVzKgzc3N0ajcX5+/l8a3d+Gz+f7yz6u/wxsT/lfXPktQ+UIFa2Dg4N/nLpuMBg8Hs9rztzf389kMqenp390wvn5eT6fVx4pFot/kv1JImbncbfb3bmvzPHx8fenM62srNhstu+8yC8HlSNUfBeSyeTY2FggEHhxJ3ewtLRE6yDqRKxWq/JkqoHJa6b2wefzxWIxS7sPrd1ubzQacj5F0B6Phwo0t9v9bDPeQCCQTqflv9lslvqxiYkJp9Op/NPfxcnJiWprqFDxtzE/P0/5uc/ne3EF0i4FR+bp6Sm7VPKnZrNJfwAk/9PTk9fr/fz5s1arTaVSzWZzf3/fZDKJ5VKr1aiPWl1dbTQa1Wo1EokYjUalrTQ7O5vL5fhcrVbRdHK53MHBgcFgGB4elr/+XTSbTZfLpSSsboDKESr+BTSbzWQyaTQaR0ZGLBbL0dHRH515eXnJfj/89+HhYWJiQum8ODw8HB0dVS7jeDwei8X4fHt7a7FYZmdnldcMBoN+v1/+G4lE9vb2+Ly+vu5yucSBWi6Xp6am/nFs4vLy0mg0/om59C6hcoSKfxNbW1smk2l8fFxWNahUKjs7O6urqy6X6+vXr1arleONRmNyclLZHub4+Hh6elrZ6Wt2dlZWda1Ws9lsz8IWmUzG7XZLBmQgEMhkMnz2+/0Gg4FSSxog6fX6UCjUOfKzs7NSqVSpVKrV6uXlZb1ebzQazWZTWg3U6/VoNDo+Pp7NZr/3Mf1SUDlCxb8Pr9c7MjJSKpX47/Lyss1mi0aj6XR6Y2ODJi786erqanx8XJnOUCqVDAaD8mozMzPCEZVKxdSxtVQul3M4HOK/DIfDosi4XC6NRiM9u2n2+2Kgl2aIsnsI/4JgMDgzMzMzM0PXmf8o+eLNQuUIFa1kMvmPyxAKhULnd/f398VeOD8/HxsbW1xclL9GIhHx/J2eng4MDChtk7OzM51Op6yhTCQSyWSSz7VazWAwrK6uKn9ue3vbZrOJmyASiYioj0Qifr//xfDHn+Pp6en+/r7RaNAUk4ONRqPbnBEtlSNUVCoVq9V6cnLyz77ucrm0Wu3Z2ZnyYCgU0mg09Xq91WotLCz09/crQ5hsisfnfD7/5csXcR+0Wq3j4+OxsTFlWncoFAqHw3xuNBoTExPPjAX211D+V0gnkUgEg8F/dmsqgMoR3Y5yuex0OqvV6j/7eiqVop1cIpHIZrPZbNbn842OjkYiEU7Y3Nzs7e0NBAL7+/t4ED99+iT+iGKx+O3bN6WFn81mh4eHlb2n6MTL5/v7e3ZyIK5RLpeDwaDRaCwUCnK+3+8/PDzk88HBgV6vV/ovaMv6z262O6FyRLejVCr5/f7vKcfKZrMmk2lsbIx+qlqtVmlZtFqtUChEQ1ej0RgOh202mwQmnp6enE6nsmtbrVZ7lri5ubmpzJvU6/Xfvn2jxTNNXFdWVpTnLywsKPMv8IYQ+2Bvi9d30FbRUjlCxdnZmcj870GtVqtUKn/kz6vVaoVC4V8pDKX57fn5eS6XS6fTr/GkXF5eLiws+Hy+ZDL5g7tjvgOoHNHtuLi4+IVqGS8uLqanpztTrVX8d1A5otvRbDZ/IY64uroyGo2S/qDiB0DliG7H7e3tL8QRrVar21KYfjpUjuh23N/fP0ttVqFCCZUjuh2Pj49zc3M/exQq3i5Ujuh23N/fz8zM/OxRqHi7UDmi29FsNqPR6M8ehYq3C5Ujuh21Wi0QCLz7ltYq/jFUjuh2lMtlj8fThVvLqHglVI7odpyenvr9/ve6V6WK74fKEd2Ox8dHNSVJxZ9A5QgVKlT8GVSOUKFCxZ9B5QgVKlT8Gf4fWZ/Ht3J1J6UAAAAASUVORK5CYII=)
①
전단응력의 크기는 반지름 방향 길이에 관계없이 일정하다.
②
전단응력의 크기는 반지름 방향 길이의 제곱에 비례하여 증가한다.
③
전단응력의 크기는 반지름 방향 길이의 1/2승에 비례하여 증가한다.
④
전단응력의 크기는 반지름 방향 길이에 비례하여 증가한다.
정답 : ① 전단응력의 크기는 반지름 방향 길이에 관계없이 일정하다.
(2017년2회)
(2017년2회)
58.
다음 중 정성계수 μ의 차원으로 옳은 것은?
(단, M : 질량, L : 길이, T : 시간이다.)
(단, M : 질량, L : 길이, T : 시간이다.)
①
ML-1T-1
②
ML-1T-2
③
ML-2T-2
④
ML-2T
정답 : ① ML-1T-1 (2015년1회)
59.
점성계수의 차원으로 옳은 것은? (단, F는 힘, L은 길이, T는 시간의 차원이다.)
①
FL2T
②
FLT-2
③
FL-2T
④
FL-1T-1
정답 : ③ FL-2T (2017년2회)
60.
정상 2차원 속도장
내의 한점 (2,3)에서 유선의 기울기
는?
①
-2/3
②
3/2
③
-3/2
④
2/3
정답 : ③ -3/2 (2017년2회)
기계재료 및 유압기기
61.
합금과 특성의 관계가 옳은 것은?
①
엘린바(Fe - Ni - Cr) : 내화학성
②
모넬금속(monel metal) : 내식용
③
스텔라이트(stellite) : 자성
④
규소강 : 초내열성
정답 : ② 모넬금속(monel metal) : 내식용
(2015년1회)
(2015년1회)
62.
조선 압연판으로 쓰이는 것으로 편석과 불순물이 적은 균질의 강은?
①
캡트강
②
세미킬드강
③
림드강
④
킬드강
정답 : ④ 킬드강 (2015년1회)
63.
액추에이터에 관한 설명으로 가장 적합한 것은?
①
압력에너지를 속도에너지로 변환시키는 기기이다.
②
공기 베어링의 일종이다.
③
유체에너지를 이용하여 기계적인 일을 하는 기기이다.
④
전기에너지를 유체에너지로 변환시키는 기기이다.
정답 : ③ 유체에너지를 이용하여 기계적인 일을 하는 기기이다.
(2015년1회)
(2015년1회)
64.
유압장치에서 실시하는 플러싱에 대한 설명으로 옳지 않은 것은?
①
플러싱 작업은 유압기계를 처음 설치하였을 때, 유압작동유를 교환할 때, 오랫동안 사용하지 않던 설비의 운전을 다시 시작할 때, 부품의 분해 및 청소 후 재조립하였을 때 실시한다.
②
플러싱 작업을 할 때 플러싱 유의 온도는 일반적인 유압시스템의 유압유 온도보다 낮은 20~30℃플러싱 작업을 할 때 플러싱 유의 온도는 일반적인 유압시스템의 유압유 온도보다 낮은 20~30℃
③
플러싱은 유압시스템의 배관 계통과 시스템 구성에 사용되는 유압기기의 이물질을 제거하는 작업이다.
④
플러싱 작업을 할 때 플러싱 유의 온도는 일반적인 유압시스템의 유압유 온도보다 낮은 20~30℃ 정도로 한다.
정답 : ④ 플러싱 작업을 할 때 플러싱 유의 온도는 일반적인 유압시스템의 유압유 온도보다 낮은 20~30℃ 정도로 한다.
(2015년1회)
(2015년1회)
65.
그림과 같이 액추에이터의 공급 쪽 관로 내의 흐름을 제어함으로써 속도를 제어하는 회로는?
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)
①
체크 백 회로
②
시퀀스 회로
③
미터 인 회로
④
미터 아웃 회로
정답 : ③ 미터 인 회로
(2017년2회)
(2017년2회)
66.
특수강에서 합금원소의 영향에 대한 설명으로 옳은 것은?
①
Ni은 결정입자의 조절
②
Mn, W은 고온에 있어서의 경도와 인장강도 증가
③
SI는 인성 증가, 저온 충격 저항 증가
④
V, Ti는 전잦기적 특성, 내열성 우수
정답 : ② Mn, W은 고온에 있어서의 경도와 인장강도 증가
(2015년1회)
(2015년1회)
67.
Fe-C 평행상태도에서 나타나는 철강의 기본조직이 아닌 것은?
①
시멘타이트
②
펄라이트
③
마텐자이트
④
페라이트
정답 : ③ 마텐자이트 (2017년2회)
68.
금형재료로서 경도와 내마모성이 우수하고 대량 생산에 적합한 소결합금은?
①
주철
②
초경합금
③
Y합금강
④
탄소공구강
정답 : ② 초경합금 (2015년1회)
69.
6:4 황동에 Pb을 약 1.5 ~ 3.0%를 첨가한 합금으로 정밀가공을 필요로 하는 부품 등에 사용되는 합금은?
①
강력황동
②
쾌삭황동
③
애드미럴티 황동
④
텔타메탈
정답 : ② 쾌삭황동 (2017년2회)
70.
비중량(specific weight)의 MLT계 차원은? (단, M : 질량, L : 길이, T : 시간)
①
ML-2T -2
②
ML2T -3
③
ML2T -2
④
ML-1T -1
정답 : ① ML-2T -2 (2017년2회)
71.
길이가 단면 치수에 비해서 비교적 짧은 쵬구(restriction)는?
①
휨 관로(flexible line)
②
오리피스(orifice)
③
벤트 관료(vent line)
④
초크(choke)
정답 : ② 오리피스(orifice) (2015년1회)
72.
일정 중량의 추를 일정 높이에서 떨어뜨려 그 반발하는 높이로 경도를 나타내는 방법은?
①
비커즈 경도시험
②
로크웰 경도시험
③
쇼어 경도시험
④
브리넬 경도시험
정답 : ③ 쇼어 경도시험
(2015년1회)
(2015년1회)
73.
다음 중 ESD(Extra Super Duralumin)합금계는?
①
Al-Cu-Zn-Ti-Mn-Co
②
Al-Cu-Zn-Mg-Mn-Cr
③
Al-Cu-Sn-Si-Mn-Cr
④
Al-Cu-Zn-Ni-Mg-Co
정답 : ② Al-Cu-Zn-Mg-Mn-Cr (2015년1회)
74.
황동 가공재 특히 관 · 봉 등에서 잔류응력에 기인하여 균열이 발생하는 현상은?
①
자연균열
②
저온풀림경화
③
탈아연부식
④
시효경화
정답 : ① 자연균열 (2017년2회)
75.
마텐자이트(martensite) 변태의 특징에 대한 설명으로 틀린 것은?
①
마텐자이트 변태는 협동적 원자운동에 의한 변태이다.
②
마텐자이트 결정 내에는 격자결함이 존재한다.
③
마텐자이트는 고용체의 단일상이다.
④
마텐자이트 변태는 확산 변태이다.
정답 : ④ 마텐자이트 변태는 확산 변태이다.
(2017년2회)
(2017년2회)
76.
4포트 3위치 방향밸브에서 일명 센터 바이패스형이라고도하며, 중립위치에서 A, B 포트가 모두 닫히면 실린더는 임의의 위치에서 고정되고, 또 P 포트와 T 포트가 서로 통하게 되므로 펌프를 무부하 시킬 수 있는 형식은?
①
펌프 클로즈드 센터형
②
탠덤 센터형
③
클로즈드 센터형
④
오픈 센터형
정답 : ② 탠덤 센터형
(2017년2회)
(2017년2회)
77.
피아노선재의 조직으로 가장 적당한 것은?
①
소르바이트(sorbite)
②
오스테나이트(austenite)
③
페라이트(ferrite)
④
마텐자이트(martensite)
정답 : ① 소르바이트(sorbite) (2017년2회)
78.
다음 중 펌프에서 토출된 유량의 맥동을 흡수하고, 토출된 압유를 축적하여 간헐적으로 요구되는 부하에 대해서 압유를 방출하여 펌프를 소경량화 할 수 있는 기기는?
①
어큐뮬레이터
②
스트레이너
③
오일 냉각기
④
필터
정답 : ① 어큐뮬레이터 (2015년1회)
79.
표준형 고속도 공구강의 주성분으로 옳은 것은?
①
18% W, 4% Cr, 1% V, 0.8~0.9% C
②
18% W, 4% V, 1% Ni, 0.8~0.9% C
③
18% C, 4% Mo, 1% Cr, 0.8~0.9% Mg
④
18% C, 4% Mo, 1% V, 0.8~0.9% Cu
정답 : ① 18% W, 4% Cr, 1% V, 0.8~0.9% C
(2015년1회)
(2015년1회)
80.
피스톤 부하가 금격히 제거되었을 때 피스톤이 급진하는 것을 방지하는 등의 속도제어회로로 가장 적합한 것은?
①
시퀀스 회로
②
언로드 회로
③
카운터 밸런스 회로
④
증압 회로
정답 : ③ 카운터 밸런스 회로
(2015년1회)
(2015년1회)
기계제작법 및 기계동력학
81.
선반에서 절삭비(cutting ratio,
) 표현식으로 옳은 것은? (단,
는 전단각,
는 공구 윗면 경사각이다.)
①
②
③
④
정답 : ②
(2017년2회)
82.
강관을 길이방향으로 이음매 용접하는데, 가장 적합한 용접은?
①
업셋 맞대기용접
②
심 용접
③
프로젝션 용접
④
점 용접
정답 : ② 심 용접
(2015년1회)
(2015년1회)
83.
그림과 같은 1자유도 진동 시스템에서 임계 감쇠계수는 약 몇 N·s/m인가?
![](data:image/png;base64,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)
①
400
②
80
③
800
④
2000
정답 : ③ 800 (2017년2회)
84.
그림과 같은 용수철-질량계의 고유진동수는 약 몇 Hz 인가?
(단, m = 5kg, k1 = 15N/m, k2 = 8N/m 이다.)
![](data:image/png;base64,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)
(단, m = 5kg, k1 = 15N/m, k2 = 8N/m 이다.)
①
0.4Hz
②
0.1Hz
③
0.3Hz
④
02.Hz
정답 : ④ 02.Hz (2015년1회)
85.
지름 100mm, 판의 두께 3mm, 전단저항 45 kgf/mm2인 SM40C 강판을 전단할 때 전단하중은 약 몇 kgf 인가?
①
67420
②
53240
③
70680
④
42410
정답 : ④ 42410 (2017년2회)
86.
특수가공 중에서 초경합금, 유리 등을 가공하는 방법은?
①
액체 호닝
②
초음파 가공
③
래핑
④
전해 가공
정답 : ② 초음파 가공
(2015년1회)
(2015년1회)
87.
Al을 강의 표면에 침투시켜 내스케일성을 증가시키는 금속 침투 방법은?
①
크로마이징(chromizing)
②
칼로라이징(calorizing)
③
금속용사법(metal spraying)
④
파커라이징(parker izing)
정답 : ② 칼로라이징(calorizing) (2015년1회)
88.
그림과 같이 질량이 m이고 길이가 L인 균일한 막대에 대하여 A점을 기준으로 한 질량 관성 모멘트를 나타내는 식은?
![](data:image/png;base64,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)
①
②
③
④
정답 : ③
(2017년2회)
89.
회전속도가 2000rpm인 원심 팬이 있다. 방진고무로 탄성 지지시켜 진동 전달율 0.3으로 하고자 할 때, 정적 수축량은 약 몇 mm 인가? (단, 방진고무의 감쇠계수는 0으로 가정한다.)
①
1.41
②
2.20
③
0.71
④
0.97
정답 : ④ 0.97 (2015년1회)
90.
피복 아크용접에서 피복제의 주된 역할이 아닌 것은?
①
용착효율을 높인다.
②
질화를 촉진한다.
③
아크를 안정하게 한다.
④
스패터를 적게 발생시킨다.
정답 : ② 질화를 촉진한다.
(2017년2회)
(2017년2회)
91.
테르밋 용접(thermit welding)의 일반적인 특징으로 틀린 것은?
①
전력 소모가 크다.
②
용접시간이 비교적 짧다.
③
용접 작업장소의 이동이 쉽다.
④
용접작업 후의 변형이 작다.
정답 : ① 전력 소모가 크다.
(2017년2회)
(2017년2회)
92.
두께가 다른 여러 장의 강재 박판(薄板)을 겹쳐서 부채살 모양으로 모은 것이며 물체 사이에 삽입하여 측정하는 기구는?
①
와이어 게이지
②
틈새 게이지
③
드릴 게이지
④
롤러 게이지
정답 : ② 틈새 게이지
(2015년1회)
(2015년1회)
93.
그림에서 질량 100kg의 물체 A와 수평면 사이의 마찰계수는 0.3 이며 물체 B의 질량은 30kg이다. 힘 Py의 크기는 시간(t[s]의 함수이며 Py[N] = 15t2 이다. t는 0s에서 물체 A가 오른쪽으로 2.0m/s로 운동을 시작한다면 t가 5s 일 때 이 물체의 속도는 약 몇 m/s인가?
![](data:image/png;base64,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)
①
7.54
②
6.81
③
7.31
④
6.92
정답 : ② 6.81 (2015년1회)
94.
스프링으로 지지되어 있는 어느 물체가 매분 120회를 진동할 때 진동수는 약 몇 rad/s 인가?
①
9.42
②
6.28
③
3.14
④
12.57
정답 : ④ 12.57 (2017년2회)
95.
①
②
③
④
정답 : ①
(2017년2회)
96.
물방울이 떨어지기시작하여 3초 후의 속도는 약 몇 m/s 인가? (단, 공기의 저항은 무시하고, 초기속도는 0으로 한다.)
①
19.6
②
9.8
③
29.4
④
3
정답 : ③ 29.4 (2017년2회)
97.
초음파 가공의 특징으로 틀린 것은?
①
납, 구리, 연강의 가공이 쉽다.
②
공작물에 가공 변형이 남지 않는다.
③
부도체도 가공이 가능하다.
④
복잡한 형상도 쉽게 가공한다.
정답 : ① 납, 구리, 연강의 가공이 쉽다.
(2017년2회)
(2017년2회)
98.
타격연습용 투구기가 지상 1.5m 높이에서 수평으로 공을 발사한다. 공이 수평거리 16m 날아가 땅에 떨어진다면, 공의 발사속도의 크기는 약 몇 m/s인가?
①
21
②
29
③
16
④
11
정답 : ② 29 (2015년1회)
99.
와이어 컷(wire cut) 방전가공의 특징으로 틀린 것은?
①
가공물의 형상이 복잡함에 다라 가공속도가 변한다.
②
담금질강과 초경합금의 가공이 가능하다.
③
표면거칠기가 양호하다.
④
복잡한 형상의 가공물을 높은 정밀도로 가공할 수 있다.
정답 : ① 가공물의 형상이 복잡함에 다라 가공속도가 변한다.
(2017년2회)
(2017년2회)
100.
4개의 조가 각각 단독으로 이동하여 불규칙한 공작물의 고정에 적합하고 편심가공이 가능한 선반척은?
①
콜릿척
②
단동척
③
유압척
④
연동척
정답 : ② 단동척 (2017년2회)
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