On a stress element, the following stresses are acting: σ x = 5 ksi (Compression) σ y =  10 ksi (Tension) τ xy = 0 Ksi  Using the equations given below: (1) Calculate the principal stresses and the plane and draw principal plane and the stresses acting on it. (2)  Calculate  maximum shear stress and maximum shear plane and then draw the shear plane and the stresses acting on it. (3) Calculate the average stress.

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
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On a stress element, the following stresses are acting:

σ x = 5 ksi (Compression)

σ y =  10 ksi (Tension)

τ xy = 0 Ksi 

Using the equations given below:

(1) Calculate the principal stresses and the plane and draw principal plane and the stresses acting on it.

(2)  Calculate  maximum shear stress and maximum shear plane and then draw the shear plane and the stresses acting on it.

(3) Calculate the average stress.

Principal Stresses
Average Stress
0,+0,
0, -0,
2
2
2
Principal Planes
2r,
2
20 = tan
0,-0,
Maximum Shear Stress:
Plane of Maximum Shear Stress:
o, -o,
20_= tan"
AK
xy
max
2
Transcribed Image Text:Principal Stresses Average Stress 0,+0, 0, -0, 2 2 2 Principal Planes 2r, 2 20 = tan 0,-0, Maximum Shear Stress: Plane of Maximum Shear Stress: o, -o, 20_= tan" AK xy max 2
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