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. Answer: (a) Op1 = Op2 Tmax in-plane= = (c) Tmax abs Sxy = MPa MPa (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) MPa MPa

Materials Science And Engineering Properties
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ISBN:9781111988609
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Chapter9: Time, Temperature, And Mechanical Properties
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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.
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.
Answer:
(a) Op1=
op2 =
Tmax in-plane
=
(c) Tmax abs=
MPa
MPa
MPa
(b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
MPa
Transcribed Image Text: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. Answer: (a) Op1= op2 = Tmax in-plane = (c) Tmax abs= MPa MPa MPa (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) MPa
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