The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 28 MPa, Sy = 28 MPa, and Sxy = 37 MPa. Assume β=tan−1(ba)=21.8∘β=tan-1(ba)=21.8∘, a = 5, and b = 2. Using the equilibrium equation approach, determine the normal and shear stresses σσ (positive if tensile, negative if compressive) and ττ (magnitude only) at this point on the inclined plane shown.
The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 28 MPa, Sy = 28 MPa, and Sxy = 37 MPa. Assume β=tan−1(ba)=21.8∘β=tan-1(ba)=21.8∘, a = 5, and b = 2. Using the equilibrium equation approach, determine the normal and shear stresses σσ (positive if tensile, negative if compressive) and ττ (magnitude only) at this point on the inclined plane shown.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 28 MPa, Sy = 28 MPa, and Sxy = 37 MPa. Assume β=tan−1(ba)=21.8∘β=tan-1(ba)=21.8∘, a = 5, and b = 2. Using the equilibrium equation approach, determine the normal and shear stresses σσ (positive if tensile, negative if compressive) and ττ (magnitude only) at this point on the inclined plane shown.
Transcribed Image Text:The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at
the point are Sx = 28 MPa, S, = 28 MPa, and Sy = 37 MPa. Assume ß = tan
= 21.8°, a = 5, and b = 2. Using the equilibrium
equation approach, determine the normal and shear stresses o (positive if tensile, negative if compressive) and t (magnitude only) at
this point on the inclined plane shown.
Sxy
b.
S
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