Civil Engineering (CE) Exam  >  Civil Engineering (CE) Questions  >  A body is subjected to a tensile stress of 12... Start Learning for Free
A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be (A) 400 MPa (B) 500 MPa (C) 900 MPa (D) 1400 MPa?
Most Upvoted Answer
A body is subjected to a tensile stress of 1200 MPa on one plane and a...
Solution:

Given,
Tensile stress on one plane, σx = 1200 MPa
Tensile stress on a plane at right angles to the former, σy = 600 MPa
Shear stress on the same planes, τxy = 400 MPa

We need to find the maximum shear stress, τmax.

Steps to solve the problem:
1. Calculate the normal stress on the plane inclined at 45 degrees to the x-axis and y-axis.
2. Calculate the principal stresses using the formula:
σ1,2 = (σx + σy)/2 ± [(σx - σy)/2]^2 + τxy^2)^1/2
3. Calculate the maximum shear stress using the formula:
τmax = (σ1 - σ2)/2

Step 1: Calculate the normal stress on the plane inclined at 45 degrees to the x-axis and y-axis.

The normal stress on the plane inclined at 45 degrees to the x-axis and y-axis is given by:
σn = (σx + σy)/2 + (σx - σy)/2 cos 2θ + τxy sin 2θ
Where θ = 45 degrees
Substituting the given values, we get:
σn = (1200 + 600)/2 + (1200 - 600)/2 cos 90 + 400 sin 90
σn = 900 MPa

Step 2: Calculate the principal stresses using the formula:
σ1,2 = (σx + σy)/2 ± [(σx - σy)/2]^2 + τxy^2)^1/2

Substituting the given values, we get:
σ1,2 = (1200 + 600)/2 ± [(1200 - 600)/2]^2 + 400^2)^1/2
σ1 = 1000 MPa
σ2 = -200 MPa (negative sign indicates that it is a compressive stress)

Step 3: Calculate the maximum shear stress using the formula:
τmax = (σ1 - σ2)/2
Substituting the values, we get:
τmax = (1000 - (-200))/2
τmax = 600 MPa

Therefore, the maximum shear stress is 600 MPa, which is option (B).
Community Answer
A body is subjected to a tensile stress of 1200 MPa on one plane and a...
Answer pls
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be (A) 400 MPa (B) 500 MPa (C) 900 MPa (D) 1400 MPa?
Question Description
A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be (A) 400 MPa (B) 500 MPa (C) 900 MPa (D) 1400 MPa? 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 body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be (A) 400 MPa (B) 500 MPa (C) 900 MPa (D) 1400 MPa? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be (A) 400 MPa (B) 500 MPa (C) 900 MPa (D) 1400 MPa?.
Solutions for A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be (A) 400 MPa (B) 500 MPa (C) 900 MPa (D) 1400 MPa? 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 body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be (A) 400 MPa (B) 500 MPa (C) 900 MPa (D) 1400 MPa? defined & explained in the simplest way possible. Besides giving the explanation of A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be (A) 400 MPa (B) 500 MPa (C) 900 MPa (D) 1400 MPa?, a detailed solution for A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be (A) 400 MPa (B) 500 MPa (C) 900 MPa (D) 1400 MPa? has been provided alongside types of A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be (A) 400 MPa (B) 500 MPa (C) 900 MPa (D) 1400 MPa? theory, EduRev gives you an ample number of questions to practice A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be (A) 400 MPa (B) 500 MPa (C) 900 MPa (D) 1400 MPa? 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