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A prismatic bar of 25 mm diameter and 2 m long is subjected to 60 KN axial tensile load. Young's modulus of elasticity of bar material is 200 GPa. Find the strain energy and resilience if the?
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A prismatic bar of 25 mm diameter and 2 m long is subjected to 60 KN a...
Calculation of Strain Energy and Resilience in a Prismatic Bar
Given Data:
- Diameter of the bar = 25 mm
- Length of the bar = 2 m
- Applied axial tensile load = 60 KN
- Young's modulus of elasticity of bar material = 200 GPa
Calculation of Area of Cross-section:
Area of cross-section of the bar can be calculated using the formula:
Area = π/4 * d2
Where,
- π = 3.14
- d = Diameter of the bar = 25 mm = 0.025 m
Putting the values in the formula, we get:
Area = 3.14/4 * (0.025)2 = 0.00049 m2
Calculation of Stress:
Stress can be calculated using the formula:
Stress = Applied load / Area of cross-section
Putting the values in the formula, we get:
Stress = 60,000 N / 0.00049 m2 = 122448.98 N/m2
Calculation of Strain:
Strain can be calculated using the formula:
Strain = Stress / Young's modulus of elasticity
Putting the values in the formula, we get:
Strain = 122448.98 N/m2 / 200,000,000,000 N/m2 = 0.000000622
Calculation of Strain Energy:
Strain energy can be calculated using the formula:
Strain energy = (1/2) * Stress * Strain * Volume
Where,
- Volume = Area of cross-section * Length of the bar
Putting the values in the formula, we get:
Volume = 0.00049 m2 * 2 m = 0.00098 m3
Strain energy = (1/2) * 122448.98 N/m2 * 0.000000622 * 0.00098 m3 = 0.00003795 J
Calculation of Resilience:
Resilience can be calculated using the formula:
Resilience = (1/2) * Stress * Strain
Putting the values in the formula, we get:
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A prismatic bar of 25 mm diameter and 2 m long is subjected to 60 KN axial tensile load. Young's modulus of elasticity of bar material is 200 GPa. Find the strain energy and resilience if the?
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A prismatic bar of 25 mm diameter and 2 m long is subjected to 60 KN axial tensile load. Young's modulus of elasticity of bar material is 200 GPa. Find the strain energy and resilience if the? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A prismatic bar of 25 mm diameter and 2 m long is subjected to 60 KN axial tensile load. Young's modulus of elasticity of bar material is 200 GPa. Find the strain energy and resilience if the? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A prismatic bar of 25 mm diameter and 2 m long is subjected to 60 KN axial tensile load. Young's modulus of elasticity of bar material is 200 GPa. Find the strain energy and resilience if the?.
A prismatic bar of 25 mm diameter and 2 m long is subjected to 60 KN axial tensile load. Young's modulus of elasticity of bar material is 200 GPa. Find the strain energy and resilience if the? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A prismatic bar of 25 mm diameter and 2 m long is subjected to 60 KN axial tensile load. Young's modulus of elasticity of bar material is 200 GPa. Find the strain energy and resilience if the? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A prismatic bar of 25 mm diameter and 2 m long is subjected to 60 KN axial tensile load. Young's modulus of elasticity of bar material is 200 GPa. Find the strain energy and resilience if the?.
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