Q: Derive a formula for the strain energy U of the cantilever bar
Derive a formula for the strain energy U of the cantilever bar shown in the figure. The bar has circular cross sections and length L. It is subjected to a distributed torque of intensity t per unit di...
See AnswerQ: A thin-walled hollow tube AB of conical shape has constant
A thin-walled hollow tube AB of conical shape has constant thickness t and average diameters dA and dB at the ends (see figure). (a) Determine the strain energy U of the tube when it is subjected to p...
See AnswerQ: A hollow circular tube A fits over the end of a solid
A hollow circular tube A fits over the end of a solid circular bar B, as shown in the figure. The far ends of both bars are fixed. Initially, a hole through bar B makes an angle β with a l...
See AnswerQ: A heavy flywheel rotating at n revolutions per minute is rigidly attached
A heavy flywheel rotating at n revolutions per minute is rigidly attached to the end of a shaft of diameter d (see figure). If the bearing at A suddenly freezes, what will be the maximum angle of twis...
See AnswerQ: A solid circular bar ABCD with fixed supports at ends A and
A solid circular bar ABCD with fixed supports at ends A and D is acted upon by two equal and oppositely directed torques To, as shown in the figure. The torques are applied at points B and C, each of...
See AnswerQ: A solid circular shaft AB of diameter d is fixed against rotation
A solid circular shaft AB of diameter d is fixed against rotation at both ends (see figure). A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of ro...
See AnswerQ: A cantilever beam of length L = 2 m supports a load
A cantilever beam of length L = 2 m supports a load P = 8.0 kN (see figure). The beam is made of wood with cross-sectional dimensions 120 mm × 200 mm. Calculate the shear stresses due to...
See AnswerQ: A hollow steel shaft ACB of outside diameter 50 mm and inside
A hollow steel shaft ACB of outside diameter 50 mm and inside diameter 40 mm is held against rotation at ends A and B (see figure). Horizontal forces P are applied at the ends of a vertical arm that i...
See AnswerQ: A stepped shaft ACB having solid circular cross sections with two different
A stepped shaft ACB having solid circular cross sections with two different diameters is held against rotation at the ends (see figure). (a) If the allowable shear stress in the shaft is 6000 psi, wha...
See AnswerQ: A stepped shaft ACB having solid circular cross sections with two different
A stepped shaft ACB having solid circular cross sections with two different diameters is held against rotation at the ends (see figure). (a) If the allowable shear stress in the shaft is 43 MPa, what...
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