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In the given figure, σ1 and σ2 are the maximum and minimum principal stresses. In order that the resultant stress on the plane AB is 
the value of θ should be -
the value of θ should be -- a)30°
- b)60°
- c)75°
- d)45°
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the given figure, σ1 and σ2 are the maximum and minimum...
Let the material be subjected to two mutually perpendicular stresses σ1 and σ2 in the x and y directions respectively.
The normal stress at any plane inclined at angle θ
The shear stress at any plane, inclined at angle θ
The resultant stress is given by
Resultant stress is maximum when shear stress is maximum ie when θ = 45°
Put θ = 45 ° in the above 2 equations, and we get
sin 2θ = sin 90 ° = 1, Cos 2θ = Cos 90° = 0
The normal stress at any plane inclined at angle θ
The shear stress at any plane, inclined at angle θ
The resultant stress is given by
Resultant stress is maximum when shear stress is maximum ie when θ = 45°
Put θ = 45 ° in the above 2 equations, and we get
sin 2θ = sin 90 ° = 1, Cos 2θ = Cos 90° = 0
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In the given figure, σ1 and σ2 are the maximum and minimum principal stresses. In order that the resultant stress on the plane AB isthe value of θ should be -a)30°b)60°c)75°d)45°Correct answer is option 'D'. Can you explain this answer?
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In the given figure, σ1 and σ2 are the maximum and minimum principal stresses. In order that the resultant stress on the plane AB isthe value of θ should be -a)30°b)60°c)75°d)45°Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about In the given figure, σ1 and σ2 are the maximum and minimum principal stresses. In order that the resultant stress on the plane AB isthe value of θ should be -a)30°b)60°c)75°d)45°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given figure, σ1 and σ2 are the maximum and minimum principal stresses. In order that the resultant stress on the plane AB isthe value of θ should be -a)30°b)60°c)75°d)45°Correct answer is option 'D'. Can you explain this answer?.
In the given figure, σ1 and σ2 are the maximum and minimum principal stresses. In order that the resultant stress on the plane AB isthe value of θ should be -a)30°b)60°c)75°d)45°Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about In the given figure, σ1 and σ2 are the maximum and minimum principal stresses. In order that the resultant stress on the plane AB isthe value of θ should be -a)30°b)60°c)75°d)45°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given figure, σ1 and σ2 are the maximum and minimum principal stresses. In order that the resultant stress on the plane AB isthe value of θ should be -a)30°b)60°c)75°d)45°Correct answer is option 'D'. Can you explain this answer?.
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