Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 400 psi in size. (a) Determine the stresses ax, ay, 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). X Ø C Answer: (a) ox- i Oy- i Txy= (b) Op1 = Op2 = Tmax in-plane= psi psi psi psi psi psi σ

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 280 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Tyand 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). y Answer: (a) Ox = i ! psi Oy= i ! psi %3D Txy = psi (b) Op1 = i psi Op2 = i psi Tmax in-plane psi

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 14 MPa in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the stresses On, ot, and the magnitude of Tnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). σ n Answer: (a) ox= Oy= Txy= (b) on= Ot= Int= MPa MPa MPa MPa MPa MPa X

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Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 540 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 Oy= i Txy = (b) Op1 = Op2 i Tmax in-plane y C psi psi psi X psi psi psi σ

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).

At a point in a machine component that is subjected to plane stress, the normal and shear stresses are σx= 100 MPa, σy= 35 MPa, and τxy= 70 MPa, acting in the directions shown in the figure. At this point, determine the strain components εx, εy, εz, and γxy. Assume that E = 72 GPa and v = 0.30 for the machine component.

Please use Mohr's Circle.

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.

A 52-kip force acts on a machine part at point A as shown below. The diagram shows the internal normal force, shear force and bending moment acting on a particular RECTANGULAR Cross section. -30in N 10in 26in F=52 kip The value of the bending moment M you would use to find the bending stress on a stress element located 2 inches up from the bottom of the rectangular cross section is closest to: 264 kip-in O a. 408 kip-in Ob. 1,464 kip-in O c. 1,608 kip-in