Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 780 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). Answer: (a) ox= i dy- i y Txy= (b) Op1= i op2= Tmax in-plane i t C psi psi psi X psi psi psi

Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 640 psi in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).

A thin rectangular plate ABCD is deformed into a parallelogram as shown in the figure below. The width of the plate is w = 1200 mm, and the height of the plate is h = 2000 mm. The shear strain at A is known to be +3650 µrad. Assume a = 1.8 mm. Calculate the magnitude of dimension b in the figure. D Answer: b= i W B a mm X

Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 46 MPa, Sy = 61 MPa, and Sxy = 14 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point.