Derive the equation for the slope at the free end of a cantilever carrying a uniformly distributed load over its full length.
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Two shafts are of the same material, length, and weight. One is solid and 100 mm diameter, the other is hollow. If the hollow shaft is to store 25 % more energy than the solid shaft when transmitting torque, what must be its internal and external diameters? Assume the same maximum shear stress applies to both shafts.
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Determine the diameter of an aluminium shaft which is designed to store the same amount of strain energy per unit volume as a 50mm diameter steel shaft of the same length. Both shafts are subjected to equal compressive axial loads. What will be the ratio of the stresses set up in the two shafts? Esteel = 200 GN/m2; Ealuminum = 67 GN/m2
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A simply supported wooden beam 2 m long and of rectangular section 100 mm wide and 150 mm deep shown in Figure carries uniformly distributed load of 2KN/m. Determine the amount of strain energy stored and compare it with the strain energy if the cross-sectional dimensions are interchanged. Take E = 2 x 105 N/mm2
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Rectangular beam with depth 150 mm and width 100 mm is subjected to a maximum bending moment of 300 kNm. Determine maximum stress in the beam, radius of curvature when bending is maximum and bending stress at a distance of 40 mm from the top surface of the beam. E for beam is 200 GPa.
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