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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
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 Rmax = 80.05 kN
Now , for safe condition:
Therefore minimum diameter of rivet is 41.22 mm.
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?
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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?.
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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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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
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