Determine the reactions and draw the shear and bending moment diagrams for the structures shown in Figs. using the method of consistent deformations

A plane element removed from a thin-walled cylindrical shell loaded in torsion is subject to the shearing stresses shown in Fig. 3-20. Determine the principal stresses existing in this element and the directions of the planes on which they occur. Ans. 50 MPa at 45° 50 MPa 50 MPa 50 MPa 50 MPa

The aluminium (G= 27.1 GPa) hollow thin walled torsion member has shown dimensions in Fig. 2. Its length is 3 m. If the member is subjected to a torque of 11 kN-m, determine the maximum shear stress and angle of twist. 120 mm b -200 mm 5 mm -5 mm, 5 mm Fig. 2 80 mm 5 mm 5 mm

Q1: Due to the applied loading, the element at point A on the solid shaft in Fig.a is subjected to the state of stresses shown in Fig. b. Determine the principal stresses and maximum shear stresses acting at this point. Draw the element at each state of stresses. P Fig. a T 45 MPa <-30 MPa Fig. b 10 MPA