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 = 150 MPa, Sy = 21 MPa, and Sxy = 85 MPa. Assume β = 56°. (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. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (c) Determine the normal stresses and the magnitude of the shear stress on the indicated plane and show these stresses on a sketch. (d) Determine the absolute maximum shear stress at the point. Answer: (a) Draw Mohr's Circle for this state of stress. (b) σp1 = MPa σp2 = MPa τmax in-plane = MPa (c) σn = MPa
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 = 150 MPa, Sy = 21 MPa, and Sxy = 85 MPa. Assume β = 56°.
(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. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16).
(c) Determine the normal stresses and the magnitude of the shear stress on the indicated plane and show these stresses on a sketch.
(d) Determine the absolute maximum shear stress at the point.
Answer:
(a) Draw Mohr's Circle for this state of stress.
(b) σp1 = MPa
σp2 = MPa
τmax in-plane = MPa
(c) σn = MPa
τnt = MPa
(d) τabs max = MPa
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