Determine the location e of the shear center, point O, for the thin-walled member having the cross section shown where b2>b1.The member segments have the same thickness t.

1. The member is loaded as shown. The diameter of the member is 32 mm. 1) Calculate all internal loadings on the cross section through the point A. 2) Calculate the stress at point A due to each internal loading. 0.4 m A Rigid Wall 1000 N 300 Nm 2000 N

Prob. 2.9-10. At room temperature (70°F) and with no axial load (P = 0) the extensional strain of the prismatic bar (Fig. P2.9-10) in the axial direction is zero, that is, € = 0. Subsequently, the bar is heated to 120°F and a tensile load P is applied. The material properties for the bar are: E = 10 × 10³ ksi and a = 13 x 10-6/F, and the cross-sectional area of the bar is 1.8 in². For the latter load-temperature condi- tion, the extensional strain is found to be €x = 900 × 10 6. (a) Determine the value of the axial tensile load P. (b) De- termine the normal stress and the shear stress on the oblique plane NN'. (Note: The total strain is the sum of strain asso- ciated with normal stress o (Eq. 2.14) and the strain due to change of temperature AT (Eq. 2.8).) in. P Gage measures extensional strain Ex N N' 25° P2.9-10 X

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