Civil Engineering (CE) Exam  >  Civil Engineering (CE) Questions  >  A mild steel rod of 14 mm diameter and 154 mm... Start Learning for Free
A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 mm under an axial pull of 10 kN. What is the Young's modulus of the material? (a) 2 x 10⁴ N/mm (b) 4 x 10⁴ N/mm (c) 8 x 10⁴ N/mm (d) 4 x 10⁵ N/mm Correct option is 'd'. Can any one explain.?
Most Upvoted Answer
A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 m...
To find the Young's modulus of the material, we can use the formula:

Young's modulus (E) = (Force * Length) / (π * diameter^2 * change in length)

Given:
Diameter of the rod (d) = 14 mm = 0.014 m
Length of the rod (L) = 154 mm = 0.154 m
Change in length (ΔL) = 0.025 mm = 0.000025 m
Force (F) = 10 kN = 10,000 N

Substituting these values into the formula, we get:

E = (10,000 * 0.154) / (π * 0.014^2 * 0.000025)

Calculating this expression, we find:

E ≈ 4 x 10^5 N/mm²

Therefore, the correct option is (d) 4 x 10^5 N/mm².

Explanation:
- Given data: diameter (d), length (L), change in length (ΔL), and force (F).
- Use the formula for Young's modulus: E = (F * L) / (π * d² * ΔL).
- Convert the given values to the appropriate units (meters).
- Substitute the values into the formula.
- Perform the calculations to find the value of E.
- The correct option is (d) 4 x 10^5 N/mm².
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 mm under an axial pull of 10 kN. What is the Young's modulus of the material? (a) 2 x 10⁴ N/mm (b) 4 x 10⁴ N/mm (c) 8 x 10⁴ N/mm (d) 4 x 10⁵ N/mm Correct option is 'd'. Can any one explain.?
Question Description
A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 mm under an axial pull of 10 kN. What is the Young's modulus of the material? (a) 2 x 10⁴ N/mm (b) 4 x 10⁴ N/mm (c) 8 x 10⁴ N/mm (d) 4 x 10⁵ N/mm Correct option is 'd'. Can any one explain.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 mm under an axial pull of 10 kN. What is the Young's modulus of the material? (a) 2 x 10⁴ N/mm (b) 4 x 10⁴ N/mm (c) 8 x 10⁴ N/mm (d) 4 x 10⁵ N/mm Correct option is 'd'. Can any one explain.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 mm under an axial pull of 10 kN. What is the Young's modulus of the material? (a) 2 x 10⁴ N/mm (b) 4 x 10⁴ N/mm (c) 8 x 10⁴ N/mm (d) 4 x 10⁵ N/mm Correct option is 'd'. Can any one explain.?.
Solutions for A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 mm under an axial pull of 10 kN. What is the Young's modulus of the material? (a) 2 x 10⁴ N/mm (b) 4 x 10⁴ N/mm (c) 8 x 10⁴ N/mm (d) 4 x 10⁵ N/mm Correct option is 'd'. Can any one explain.? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 mm under an axial pull of 10 kN. What is the Young's modulus of the material? (a) 2 x 10⁴ N/mm (b) 4 x 10⁴ N/mm (c) 8 x 10⁴ N/mm (d) 4 x 10⁵ N/mm Correct option is 'd'. Can any one explain.? defined & explained in the simplest way possible. Besides giving the explanation of A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 mm under an axial pull of 10 kN. What is the Young's modulus of the material? (a) 2 x 10⁴ N/mm (b) 4 x 10⁴ N/mm (c) 8 x 10⁴ N/mm (d) 4 x 10⁵ N/mm Correct option is 'd'. Can any one explain.?, a detailed solution for A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 mm under an axial pull of 10 kN. What is the Young's modulus of the material? (a) 2 x 10⁴ N/mm (b) 4 x 10⁴ N/mm (c) 8 x 10⁴ N/mm (d) 4 x 10⁵ N/mm Correct option is 'd'. Can any one explain.? has been provided alongside types of A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 mm under an axial pull of 10 kN. What is the Young's modulus of the material? (a) 2 x 10⁴ N/mm (b) 4 x 10⁴ N/mm (c) 8 x 10⁴ N/mm (d) 4 x 10⁵ N/mm Correct option is 'd'. Can any one explain.? theory, EduRev gives you an ample number of questions to practice A mild steel rod of 14 mm diameter and 154 mm length elongates 0.025 mm under an axial pull of 10 kN. What is the Young's modulus of the material? (a) 2 x 10⁴ N/mm (b) 4 x 10⁴ N/mm (c) 8 x 10⁴ N/mm (d) 4 x 10⁵ N/mm Correct option is 'd'. Can any one explain.? tests, examples and also practice Civil Engineering (CE) tests.
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev