9–2. Determine the stress components acting on the inclined plane AB. Solve the problem using the method of equilibrium described in Sec. 9.1.
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A compound beam with internal hinges is loaded as shown. Draw the load, shear, and moment diagrams of the figure show. F=6000N, q=1000N/m.
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The diagram shows a bearing load on a spread footing. Draw the load, shear, and moment diagrams of the figure shown. F=2000N, q=500N/m.
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Draw the load, shear, and moment diagrams for an overhang beam with a triangular and uniform load. q=6000N/m
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For a cantilever beam with an upturned end, draw the load, shear, and moment diagrams. F1=4000N, F2=2500N.
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Draw the load, shear, and moment diagrams for the illustrated single overhang beam with a uniform and concentrated load. (Note: Single overhangs develop two points of possible Mmax ). F=1200N, q=200N/m
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5-64. The device serves as a compact torsion spring. It is made of A-36 steel and consists of a solid inner shaft CB which is surrounded by and attached to a tube AB using a rigid ring at B. The ring at A can also be assumed rigid and is fixed from rotating. If the allowable shear stress for the material is Tallow =12 ksi and the angle of twist at C is limited to 30, determine the maximum torque T that can be applied at the end C.
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5-63. The device serves as a compact torsional spring. It is made of A-36 steel and consists of a solid inner shaft CB which is surrounded by and attached to a tube AB using a rigid ring at B. The ring at A can also be assumed rigid and is fixed from rotating. If a torque of T= 2 kip • in. is applied to the shaft, determine the angle of twist at the end C and the maximum shear stress in the tube and shaft.
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5-62. The two shafts are made of A-36 steel. Each has a diameter of 1 in., and they are supported by bearings at A, B, and C, which allow free rotation. If the support at D is fixed, determine the angle of twist of end A when the torques are applied to the assembly as shown.
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•5-61. The two shafts are made of A-36 steel. Each has a diameter of 1 in., and they are supported by bearings at A, B, and C, which allow free rotation. If the support at D is fixed, determine the angle of twist of end B when the torques are applied to the assembly as shown.
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