Question
Download Solution PDFIf material is loaded within the elastic limit then the slope of the stress-strain curve:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Stress:
- Stress is the ratio of the load or force to the cross-sectional area of the material to which the load is applied.
- The standard unit of stress is N/m2.
Strain:
- Strain is a measure of the deformation of the material as a result of the force applied.
- The strain is a unitless quantity.
Hooke's law:
- Hooke's law states that within the elastic limit the stress applied on a body is directly proportional to the strain produced.
⇒ Stress ∝ Strain
⇒ Stress = E × Strain (Where E = modulus of elasticity)
\( \Rightarrow σ=\frac{F(N)}{A(m^2)}\)
\( \Rightarrow strain=\frac{dl}{l}\)
\( \Rightarrow σ=strain\times E\)
where σ = stress, F = applied force, A = cross-sectional area, dl = change in length, l = initial length and E = young's modulus of elasticity
EXPLANATION:
- Hooke's law states that within the elastic limit the stress applied on a body is directly proportional to the strain produced.
⇒ Stress ∝ Strain
⇒ Stress = E × Strain
\(\Rightarrow E=\frac{stress}{strain}=slope\,of\,stress\,strain\,curve\) -----(1)
Where E = young's modulus of elasticity
- So by equation 1, we can say that the slope of the stress-strain curve is equal to the young's modulus of elasticity. Therefore, the slope of the stress-strain curve depends on the young's modulus of elasticity. Hence, option 2 is correct.
Last updated on Jul 4, 2025
-> The Indian Coast Guard Navik GD Application Correction Window is open now. Candidates can make the changes in the Application Forms through the link provided on the official website of the Indian Navy.
-> A total of 260 vacancies have been released through the Coast Guard Enrolled Personnel Test (CGEPT) for the 01/2026 and 02/2026 batch.
-> Candidates can apply online from 11th to 25th June 2025.
-> Candidates who have completed their 10+2 with Maths and Physics are eligible for this post.
-> Candidates must go through the Indian Coast Guard Navik GD previous year papers.