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The ratio of the length and diameter of a simply supported...

This question belongs to Civil Engineering Theory Of Structures
Theory of Structures
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The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

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Correct Answer: Option C
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2 Comments
Mosharrop Rubel
Mosharrop Rubel 5 years ago
Bending Stress = My/I
Tensile stress = P/A
FROM QUESTION,
Bending stress = Tensile stress
i.e. My/I= P/A
Where,
M = PL/4
y=D/2
I=π D^4/64
A =π D^2/4
after putting these values
L/D = 1/2
Abhishek Singh
Abhishek Singh 7 years ago
Bending Stress = M/Z
Tensile stress = P/A
FROM QUESTION,
Bending stress = Tensile stress
i.e. M/Z = P/A
M = PL/4
Z = (Pie * D^3)/32
A = (Pie*D^2)/4
after putting these values
L/D = 1/2
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