A steel frame is fabricated with the cross section shown. The centered hole allows cables to be run up to equipment above. The frame supports a load P at a distance d from the centroid of the vertical beam. Bending of the horizontal piece does not need to be included, consider it to be rigid. On the outside of the beam at a distance of 1 m from the ground, two strain gages are installed to measure longitudinal normal strain. The gage at A measures ε = 200 × 10-6 and the gage at B measures ε = -250 × 10-6.
a. What are the magnitudes of the force P and the distance d?
b. What is the maximum shear stress on the transverse section 1 m from the ground?