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Section modulus of solid circular rod of diameter d is equal to ?
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Section modulus of solid circular rod of diameter d is equal to ?
Section Modulus of Solid Circular Rod of Diameter d
The section modulus of a solid circular rod of diameter d is a measure of its strength against bending. It is a property of the cross-sectional area of the rod and is defined as the ratio of the moment of inertia of the cross-sectional area about the neutral axis to the distance from the neutral axis to the outermost point of the cross-sectional area.
Formula for Section Modulus
The formula for the section modulus of a solid circular rod of diameter d is:
Z = πd^3 / 32
where:
- Z is the section modulus
- d is the diameter of the rod
- π is the mathematical constant pi (approximately 3.14159)
Explanation of Formula
The formula for the section modulus of a solid circular rod can be derived using basic calculus. The moment of inertia of the cross-sectional area of the rod about the neutral axis is given by:
I = πd^4 / 64
The distance from the neutral axis to the outermost point of the cross-sectional area is simply half the diameter of the rod, or d/2. Therefore, the section modulus can be calculated as:
Z = I / (d/2) = (πd^4 / 64) / (d/2) = πd^3 / 32
This formula shows that the section modulus of a solid circular rod increases with the cube of its diameter. Therefore, a larger diameter rod will be stronger against bending than a smaller diameter rod.
Community Answer
Section modulus of solid circular rod of diameter d is equal to ?
Pi*d^3/32
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Section modulus of solid circular rod of diameter d is equal to ?
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Section modulus of solid circular rod of diameter d is equal to ? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Section modulus of solid circular rod of diameter d is equal to ? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Section modulus of solid circular rod of diameter d is equal to ?.
Section modulus of solid circular rod of diameter d is equal to ? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Section modulus of solid circular rod of diameter d is equal to ? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Section modulus of solid circular rod of diameter d is equal to ?.
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