Civil Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 3 (Q.No. 32)
32.
The principal stresses at a point are 100, 100 and-200 kgf/cm2, the octo hedral shear stress at the point is :
100 2 kg/cm2
200 2 kg/cm2
300 2 kg/cm2
400 2 kg/cm2
500 2 kg/cm2.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
9 comments Page 1 of 1.

Umesh said:   9 years ago
Could anyone explain it?

Sss said:   9 years ago
100 (Sqrt 2).

SRIDHAR said:   9 years ago
Please describe the solution.

Shakeel said:   9 years ago
Anyone know how to solve it? Please explain it.
(2)

Jeevan said:   9 years ago
Octo hydrel shear stress= yield stress or max stress/3 x√2

To fine max stress.

Stress=( p1+p2)/2 + 1/2√{(p1-p1)^2 + 4(txy)^2}
=(100+100)/2 + 1/2 √{(100-100)^2 +4(200)^2}
= 100+200
=300.
From above formula:

= 300/3 * √2.
= 100 * √2.
So ans is option 1.
(2)

Shashi Ranjan said:   8 years ago
@Jeevan's solution is correct (You interpreted the question well).
(1)

Anant said:   8 years ago
Octahedral shear stress = √[ (p1-p2)^2 +(p2-p3)^2 +(p3-p1)^2] /3.
(3)

Durlavi said:   5 years ago
Thanks @Anant.
(1)

Amit kushwaha said:   5 years ago
Thanks @Jeevan.
(1)

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