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For the given stale of stress, determine (a) the orientation of the planes of maximum in-plane shearing stress, (b) the maximum in-plane shearing stress, (c) the corresponding normal stress.

Question-Answer › Category: Strength of Materials › For the given stale of stress, determine (a) the orientation of the planes of maximum in-plane shearing stress, (b) the maximum in-plane shearing stress, (c) the corresponding normal stress.
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Beer Johnston asked 12 months ago

For the given stale of stress, determine (a) the orientation of the planes of maximum in-plane shearing stress, (b) the maximum in-plane shearing stress, (c) the corresponding normal stress.

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Mazurek Gravity answered 12 months ago

 

 

Step: 1

Schemaic diagram of element:

 

Step: 2

Compressive stress in x-direction 
Compressive stress in y-direction
Shear stress 
a) The orientation of the planes of maximum in-plane shearing stress
Maximum planes


Therefore, principal planes is 

 

Step: 3

b)
Maximum in plane shear stress is

Therefore, maximum shear stress is 

 

Step: 4

c) Normal stress is

Therefore, normal stress is 

 

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