Mechanical Engineering Exam > Mechanical Engineering Questions > A load p is supported at B by two rods of the...
Start Learning for Free
A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system?
Most Upvoted Answer
A load p is supported at B by two rods of the same material and same c...
Strain Energy Calculation for a System with Two Rods Supporting a Load
Introduction
In mechanical engineering, strain energy is the energy stored in a material due to deformation caused by an applied force. In this scenario, we have a load supported by two rods of the same material and cross-sectional area. We will calculate the strain energy for this system.
Methodology
To calculate the strain energy for this system, we need to follow these steps:
- Calculate the strain in each rod
- Calculate the stress in each rod
- Calculate the strain energy in each rod
- Add the strain energy in each rod to get the total strain energy for the system
Calculations
Step 1: Calculate the Strain in Each Rod
The strain in each rod can be calculated using the formula:
ε = ΔL/L
where ε is the strain, ΔL is the change in length, and L is the original length of the rod.
Assumptions:
We assume that the rods are of the same material and cross-sectional area and are subjected to the same load.
Calculation:
Let us assume that the load supported by the rods is P. Then, the change in length ΔL can be calculated using the formula:
ΔL = PL/EA
where E is the Young's modulus of the material and A is the cross-sectional area of the rod.
Using this formula, we can calculate the strain in each rod.
Step 2: Calculate the Stress in Each Rod
The stress in each rod can be calculated using the formula:
σ = P/A
where σ is the stress, P is the load, and A is the cross-sectional area of the rod.
Assumptions:
We assume that the load is evenly distributed between the two rods.
Calculation:
Using the formula above, we can calculate the stress in each rod.
Step 3: Calculate the Strain Energy in Each Rod
The strain energy in each rod can be calculated using the formula:
U = (1/2)σεA(L^2)
where U is the strain energy, σ is the stress, ε is the strain, A is the cross-sectional area of the rod, and L is the original length of the rod.
Assumptions:
We assume that the rods have a linear elastic behavior and that the strain energy is stored within the rods.
Calculation:
Using the formula above, we can calculate the strain energy in each rod.
Step 4: Add the Strain Energy in Each Rod to Get the Total Strain Energy for the System
The total strain energy for the system can be calculated by adding the strain energy in each rod.
Assumptions:
We assume that the rods are not connected to any other components.
Calculation:
Using the formula above, we can calculate the total strain energy for the system.
Conclusion
In
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system?
Question Description
A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system? 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 A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system?.
A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system? 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 A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system?.
Solutions for A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system? defined & explained in the simplest way possible. Besides giving the explanation of
A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system?, a detailed solution for A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system? has been provided alongside types of A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system? theory, EduRev gives you an
ample number of questions to practice A load p is supported at B by two rods of the same material and same cross sectional area A determine strain energy for the system? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup