[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fcT-vr0WuB781O4-a-dszKsc6BLi1y_4sgSTHi9FbVKg":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":30,"type":31},[],"2026-05-20 09:36:29",378727826,[8,9,10,11],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F92b6d25f6b95af6da5dbabcd42517fba.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff266303d1e3e88afadc9838d7b7dd152.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb8496c1628ada5e65b32797dce593493.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ffdb73458cbcdcae7d92cd4549a3333e4.png\">",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},75,"bc97859b2216aa951c0582bbe09a11a2","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5b7d4aec2606aea517dbfea2383b91e5.jpg","Mechanics, Structures and Materials","exam_167690170","","The polar second moment of area \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc4a6cf18ce06e36beb3638d6abca538e.png\"> for a solid circular shaft of radius \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbe27d53f95e702f55e9982180ecee652.png\"> is given by",[21,32,35,44,53,62,71,80,89,98],{"answer":22,"createTime":5,"id":23,"options":24,"question":29,"source":30,"type":31},[],378727824,[25,26,27,28],"Superposition method","Double integration method","Macaulay's method","Moment-area method","Which method involves breaking a statically indeterminate problem into simpler, statically determinate sub-problems","v1",0,{"answer":33,"createTime":5,"id":6,"options":34,"question":19,"source":30,"type":31},[],[8,9,10,11],{"answer":36,"createTime":5,"id":37,"options":38,"question":43,"source":30,"type":31},[],378727828,[39,40,41,42],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbcb41331c986bca38e184a2a806428e9.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F05f1f81d01e7f39788f3c5934a10ff99.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F47ff1fd2eb6df045b8fdb889b6daa6df.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa6eabf95df3acd17ac2e32ee6e9f7f7d.png\">","Which of the following equations represents the differential equation governing the buckling of a pin-ended strut",{"answer":45,"createTime":5,"id":46,"options":47,"question":52,"source":30,"type":31},[],378727830,[48,49,50,51],"curved beams","overhanging beams","simply support beams","cantilever beams","What do we usually call the following simplified structural model? \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F83868e6ec55b0f379fae3e9cd834b50f.png\">",{"answer":54,"createTime":5,"id":55,"options":56,"question":61,"source":30,"type":31},[],378727832,[57,58,59,60],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F07557f3f02e1befc4e876b7c5f7b9806.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbc8e2503375b7db5053bf9125eb5c901.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe11b2ae3f48c135ce907b64fd49b5b85.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5b0aaa87c899811cec75e41735a3b852.png\">","The differential relationship between bending moment \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F765ef79a83982fcccae9991640e31d21.png\"> and shear force \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F749049c3630eeef855bfe691fecccbd6.png\"> is",{"answer":63,"createTime":5,"id":64,"options":65,"question":70,"source":30,"type":31},[],378727834,[66,67,68,69],"Radius of the shaft, applied torque, and thermal expansion coefficient","Length of the shaft, applied torque, and shear modulus of the material","Radius of the shaft, applied torque, and Poisson's ratio","Length of the shaft, applied torque, and density of the material","The angle of twist \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F194ff09e20ca6cfa17a0dc43ff2dcad1.png\"> of a circular shaft under torsion depends on which of the following factors",{"answer":72,"createTime":5,"id":73,"options":74,"question":79,"source":30,"type":31},[],378727836,[75,76,77,78],"c","d","b","a","which is yielding point in diagram? \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe6888cd0ec3ae2ba65f4d2bd457b4853.png\">",{"answer":81,"createTime":5,"id":82,"options":83,"question":88,"source":30,"type":31},[],378727838,[84,85,86,87],"It requires fewer boundary conditions to be applied","It provides exact solutions without approximation","It reduces the computational complexity by avoiding integration","It is better suited for beams with nonlinear material behavior","What is the main advantage of using the superposition method over the double integration method for solving indeterminate beams",{"answer":90,"createTime":5,"id":91,"options":92,"question":97,"source":30,"type":31},[],378727840,[93,94,95,96],"It measures the thermal expansion of materials","It determines the natural frequency of a structure","It quantifies the resistance of a beam to bending","It indicates the fatigue life of a material","What is the significance of the second moment of area in engineering design",{"answer":99,"createTime":5,"id":100,"options":101,"question":106,"source":30,"type":31},[],378727842,[102,103,104,105],"Maximum negative","Maximum positive","Zero","Equal to applied load","Bending moment at free end of cantilever is always"]