If Poisson’s ratio of a material is 0.5, then the elastic modulus for the material is

This question was previously asked in
BPSC AE Paper VI Mechanical 2024 Official Paper
View all BPSC AE Papers >
  1. Equal to its shear modulus
  2. 4 times its shear modulus
  3. Indeterminate
  4. 3 times its shear modulus

Answer (Detailed Solution Below)

Option 4 : 3 times its shear modulus
Free
BPSC AE सामान्य हिंदी Mock Test
2.5 K Users
20 Questions 40 Marks 24 Mins

Detailed Solution

Download Solution PDF

Concept:

There is a relationship between Young’s modulus \(E\), shear modulus \(G\), and Poisson’s ratio \(\nu\) given by the formula:

\(E = 2G(1 + \nu) \)

Given:

Poisson’s ratio, \(\nu = 0.5 \)

Calculation:

Substitute the given value of \(\nu\) into the formula:

\(E = 2G(1 + 0.5) = 2G \times 1.5 = 3G \)

 

Latest BPSC AE Updates

Last updated on Jul 17, 2025

-> BPSC AE exam analysis 2025 is available now. 

-> BPSC AE admit card 2025 has been released at the official website.

-> BPSC AE 2025 exam date has been revised. The exam will be conducted on July 17, 18 & 19 now. 

-> Candidates who were facing technical issues while filling form can now fill the BPSC AE application form 2025 without any issue. 

->BPSC AE age limit 2025 has been revised. Also Check the BPSC AE Syllabus and Exam Pattern

->BPSC AE application form 2025  was released on April 30. The last date to fill BPSC AE form 2025 was May 28. 

->BPSC AE interview call letters released for Advt. 32/2024.

->BPSC AE notification 2025 has been released. 

->A total of 1024 vacancies are announced through BPSC AE recruitment 2025

->The BPSC Exam Calendar 2025 has been released for the Assistant Engineer Recruitment.

-> The selection will be based on a written exam and evaluation of work experience.

-> Candidates with a graduation in the concerned engineering stream are eligible for this post.

-> To prepare for the exam solve BPSC AE Previous Year Papers. Also, attempt the BPSC AE Civil  Mock Tests.

Get Free Access Now
Hot Links: all teen patti teen patti yas teen patti real cash 2024