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The product of Young's modulus (E) and moment of inertia (I) is known as
- a)modulus of rigidity
- b)bulk modulus
- c)flexural rigidity
- d)torsional rigidity
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The product of Youngs modulus (E) and moment of inertia (I) is known a...
Flexural Rigidity
Flexural rigidity is the product of Young's modulus and moment of inertia. This value is used to describe the resistance of a beam or other structural member to bending.
Young's Modulus
Young's modulus is a measure of a material's stiffness. It represents the amount of stress required to deform a material a certain amount. The higher the Young's modulus, the stiffer the material.
Moment of Inertia
Moment of inertia is a measure of how much an object resists rotational acceleration. It is dependent on the object's mass distribution, as well as the distance between the object's axis of rotation and the mass.
Calculation of Flexural Rigidity
The formula for flexural rigidity is:
Flexural Rigidity = E × I
Where E is Young's modulus and I is moment of inertia.
Applications of Flexural Rigidity
Flexural rigidity is used in the design and analysis of structures that are subject to bending, such as beams, columns, and bridges. It is also important in the design of machine parts that need to resist bending or flexing, such as gears and shafts.
Conclusion
Flexural rigidity is an important parameter in the design and analysis of structures and machine parts. It is calculated as the product of Young's modulus and moment of inertia, and describes the resistance of a material to bending.
Flexural rigidity is the product of Young's modulus and moment of inertia. This value is used to describe the resistance of a beam or other structural member to bending.
Young's Modulus
Young's modulus is a measure of a material's stiffness. It represents the amount of stress required to deform a material a certain amount. The higher the Young's modulus, the stiffer the material.
Moment of Inertia
Moment of inertia is a measure of how much an object resists rotational acceleration. It is dependent on the object's mass distribution, as well as the distance between the object's axis of rotation and the mass.
Calculation of Flexural Rigidity
The formula for flexural rigidity is:
Flexural Rigidity = E × I
Where E is Young's modulus and I is moment of inertia.
Applications of Flexural Rigidity
Flexural rigidity is used in the design and analysis of structures that are subject to bending, such as beams, columns, and bridges. It is also important in the design of machine parts that need to resist bending or flexing, such as gears and shafts.
Conclusion
Flexural rigidity is an important parameter in the design and analysis of structures and machine parts. It is calculated as the product of Young's modulus and moment of inertia, and describes the resistance of a material to bending.
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The product of Youngs modulus (E) and moment of inertia (I) is known asa)modulus of rigidityb)bulk modulusc)flexural rigidityd)torsional rigidityCorrect answer is option 'C'. Can you explain this answer?
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