Civil Engineering - UPSC Civil Service Exam Questions - Discussion

Discussion Forum : UPSC Civil Service Exam Questions - Section 3 (Q.No. 39)
39.
At a point in a strained material, if two mutually perpendicular tensile stresses of 2000 kg/cm2 and 1000 kg/cm2 are acting, then the intensity of tangential stress on a plane inclined at 15° to the axis of the minor stress will be :
125 kg/cm2
250 kg/cm2
500 kg/cm2
1000 kg/cm2
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
11 comments Page 1 of 2.

Savan said:   4 years ago
σ t= (σ x - σ y)/2. X (Sin2*15).
σ t 250.

Amit Singh said:   5 years ago
Shere stress = (sigma1-sigma2)/2*(sin2θ)
= (2000-1000)/2*(sin2*15)
= 250.

Subhankar said:   5 years ago
sin 30 = 1/2.
So, 2sin 30 degree = 1.
D is the correct answer.

Suraj said:   6 years ago
Formula for finding Tangential(Shear) Stress at any plane when τ xy = 0, τ= -(6x-6y)/2*sin(2θ) = -500Sin(2*15) = 250.

Pintu said:   7 years ago
Please explain the solution properly.

Sam said:   7 years ago
1000*sin15 = 258.819.

James said:   7 years ago
@Subhajit.

Here, 2 * sin30 results in 1. The answer becomes 1000.

Nanu said:   7 years ago
@ Manjunatha R.N.

On that formula, there must be: Sin(2*angle).

Manjunatha R.N. said:   8 years ago
@Subhajit.

Why you have taken 30 degree?

but given is 15 degree only.

Subhajit said:   8 years ago
Ans b is correct.

sigma t =(sigma x - sigma y)/2 sin 30 degree,
=(2000-1000)/2 sin 30 degree,
=500.1/2=250 kg/cm^2.


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