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In the case of bi-axial state of normal stresses, the normal stress on 45° plane is equal to
  • a)
    the sum of the normal stresses 
  • b)
    difference of the normal stresses 
  • c)
    half the sum of the normal stresses
  • d)
    half the difference of the normal stresses
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In the case of bi-axial state of normal stresses, the normal stress on...
In the case of bi-axial state of normal stresses:
Normal stress on an inclined plane:
Shear Stress on an inclined plane:
Normal stress on 45° plane:
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In the case of bi-axial state of normal stresses, the normal stress on...
In the case of a bi-axial state of normal stresses, the normal stress on the 45-degree axis (also known as the diagonal axis) would be equal to the average of the two principal stresses. This is because in a bi-axial state, there are two principal stresses acting on perpendicular axes. The normal stress on the 45-degree axis is the average of these two principal stresses, as it lies at an angle of 45 degrees between them.
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In the case of bi-axial state of normal stresses, the normal stress on 45° plane is equal toa)the sum of the normal stressesb)difference of the normal stressesc)half the sum of the normal stressesd)half the difference of the normal stressesCorrect answer is option 'C'. Can you explain this answer?
Question Description
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