(Solved): 1-43. If \( P=5 \mathrm{kN} \), determine the average shear stress in the pins at \( A, B \), and \( ...

1-43. If \( P=5 \mathrm{kN} \), determine the average shear stress in the pins at \( A, B \), and \( C \). All pins are in double shear, and each has a diameter of 18 mm . *1-44. Determine the maximum magnitude \( P \) of the loads the beam can support if the average shear stress in each pin is not to exceed 80 MPa . All pins are in double shear, and each has a diameter of 18 mm . 3-9. Acetal plastic has a stress-strain diagram as shown. If a bar of this material has a length of 3 ft and cross-sectional area of \( 0.875 \mathrm{in}^{2} \), and is subjected to an axial load of 2.5 kip, determine its elongation. 5-7. The solid aluminum shaft has a diameter of 50 mm . Determine the absolute maximum shear stress in the shaft and sketch the shear-stress distribution along a radial line of the shaft where the shear stress is maximum. Set \( T_{1}=2000 \mathrm{~N} \cdot \mathrm{~m} \). 2-3. If the load \( \mathbf{P} \) on the beam causes the end \( C \) to be displaced 10 mm downward, determine the normal strain in wires \( C E \) and \( B D \). 4-105. The rigid beam is supported by three \( 25-\mathrm{mm} \) diameter A-36 steel rods. If the force of \( P=230 \mathrm{kN} \) is applied on the beam and removed, determine the residual stresses in each rod. Consider the steel to be an elastic perfectly plastic material. 6-3. Draw the shear and moment diagrams for the beam, and determine the shear and moment throughout the beam as functions of \( x \) for \( 0 \leq x \leq 6 \mathrm{ft} \) and \( 6 \mathrm{ft} \leq x \leq 10 \mathrm{ft} \).