There is a riveted joint which consist of four identical rivets. It is subjected to an eccentric force of 50 kN as shown in figure. If the permissible shear stress of rivet is 60 MPa, then the minimum diameter of rivets will be _____ mm.Correct answer is between '41,42'. Can you explain this answer?

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There is a riveted joint which consist of four identical rivets. It is subjected to an eccentric force of 50 kN as shown in figure. If the permissible shear stress of rivet is 60 MPa, then the minimum diameter of rivets will be _____ mm.

Correct answer is between '41,42'. Can you explain this answer?

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There is a riveted joint which consist of four identical rivets. It is...

Firstly we will locate the centre of gravity of the group of rivets.

Here ‘O’ is centre of gravity
Now, we will take 2 equal and opposite forces passing through centre of gravity (P₁ and P₂).

Here P₁ = P₂ = P = 50 kN
P₁ will act equally on all rivets in the same direction of applied load and P₂ and P causes a twisting couple in clockwise direction. Due to P₁ there will be a primary shear force acting on each rivet and due to twisting couple there will be a secondary shear force acting on each rivet.
Primary shear force acting on each rivet

P₂ and P causes a twisting couple of magnitude, T = P × e = 50 × 200 = 10000 kN-mm
And this twisting couple will lead to a secondary shear force

on rivet 1, 2 , 3 and 4 respectively as shown in figure:

Now,

And we know that

Now, Rivet 3 and Rivet 4 are critical rivets because when we will calculate the resultant shear force on each rivet then we will find it maximum for rivet 3 and 4. The angle between primary and secondary shear force is 45⁰for rivet 3 and 4. The angle between rimary and secondary shear force is 135⁰ for rivet 1 and 2.

Putting A= 12.5 kN

B = 70.72 kN

And θ = 45⁰

We will get R_max = 80.05 kN

Now , for safe condition:

Therefore minimum diameter of rivet is 41.22 mm.

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There is a riveted joint which consist of four identical rivets. It is subjected to an eccentric force of 50 kN as shown in figure. If the permissible shear stress of rivet is 60 MPa, then the minimum diameter of rivets will be _____ mm.Correct answer is between '41,42'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about There is a riveted joint which consist of four identical rivets. It is subjected to an eccentric force of 50 kN as shown in figure. If the permissible shear stress of rivet is 60 MPa, then the minimum diameter of rivets will be _____ mm.Correct answer is between '41,42'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a riveted joint which consist of four identical rivets. It is subjected to an eccentric force of 50 kN as shown in figure. If the permissible shear stress of rivet is 60 MPa, then the minimum diameter of rivets will be _____ mm.Correct answer is between '41,42'. Can you explain this answer?.

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