Mechanical Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 1 (Q.No. 17)
17.
The maximum diameter of the hole that can be punched from a plate of maximum shear stress 1/4th of its maximum crushing stress of punch, is equal to (where t = Thickness of the plate)
t
2t
4t
8t
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
65 comments Page 5 of 7.

Srikanth said:   1 decade ago
How could it be @Rajesh there is nothing explained in your answer. Can you please explain it briefly?

Biswajit Roy said:   1 decade ago
Shear stress*Pi*dt = Crushing stress*Pi*d^2/4.

d = t.

If wrong why?

Shalabh Suradhaniwar said:   1 decade ago
@Uppu Harish perfect answer & absolute correct explanation.

d=t, shall be the correct answer.

Crystal clear depiction of force & area in shear & crush.

Adarsh said:   1 decade ago
min d = [4t(max ss of plate)/max crushing stress of punch].

MANPREET SINGH said:   1 decade ago
Shear stress = Crushing stress in rivet joint.

Rajeeev said:   10 years ago
D = T should be correct answer.

Shiyas said:   10 years ago
Answer is A.

(pi*(D^2) /4)*Crushing stress = pi*D*t*(Crushing stress/4).

===> D=t;

Ashok kumar Chauhan said:   10 years ago
Shear stress = F/pi*d*t.

Crushing stress = 4F/pi*d^2.

Here pi = 22/7.

According to question Shear stress = Crushing stress/4.

That is why d = t.

AMAL said:   10 years ago
Here a hole is punched then we need to take area of that hole that is (in shear) pi*d^2/4 and in crushing pi*d*t. So the right answer is d=t.

Sharan said:   1 decade ago
Shear stress = force/area.

Area = length*thickness.

So, 1/4 shear stress = l*t.

Stress = 4*t*l.


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