5 kN 2 kN 15 kN/m 50 mm P. E A 150 mm 3 m 1 m 3 m 1 m 150 mm

The rectangular plate is deformed into the shape shown by the dashed lines. Suppose that a = 260 mm and b = 450 mm (Figure 1) 2 mm a mm D B 6 mm 6 mm 2 mm -3 mm -x 1.) Determine the average normal strain along diagonal BD. 2.) Determine the average shear strain Yzy at corner B relative to the x, y axes..

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 = 72 MPa, Sy = 12 MPa, and Sxy = 39 MPa. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (d) Determine the absolute maximum shear stress at the point. Sxy S Answer: (a) Draw Mohr's Circle for this state of stress. (b) Op1 = i MPa Op2 = i MPa Tmax in-plane i MPa (c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16) (d) Tabs max i MPa

Problem 5: The stresses on the x-y-axes are o, = 8 ksi, o, = 12 ksi, and Ty = -5 ksi. Draw the Mohr's circle for this stress state. Identify the maximum shear stress from the Mohr's circle, and draw the maximum shear stress element, specifying its orientation.