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A brake band attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear and compression are 60N/mm2 and 120N/mm2 respectively. Thickness of plate is 3mm. The diameter of the rivets needed for the load of 10kN (mm) is
- a)7mm
- b)8mm
- c)9mm
- d)10mm
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A brake band attached to the hinge by means of a riveted lap joint ha...
From shear consideration,
⇒ d = 7.28 = 8 mm
From crushing consideration,
4dtσc = P
4d (3) (120) = 10* 103
⇒ d = 6.94 = 7mm
Shearing becomes the criterion of design
d = 8mm
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Community Answer
A brake band attached to the hinge by means of a riveted lap joint ha...
To determine the diameter of the rivets needed for the given load, we need to consider the shear and compression stresses on the rivets and the brake band.
1. Shear Stress Calculation:
The shear stress on the rivets can be calculated using the formula:
Shear Stress = Load / (Number of rivets * Shear Area)
Given:
Load = 10 kN = 10,000 N
Number of rivets = 4
Shear stress permissible = 60 N/mm^2
We need to calculate the shear area of the rivets. Since the rivets are assumed to be cylindrical, the shear area is given by:
Shear Area = π * (rivet diameter)^2 / 4
We can rearrange the shear stress formula to solve for the rivet diameter:
Rivet Diameter = √(Load / (Number of rivets * Shear Stress) * (4 / π))
2. Compression Stress Calculation:
The compression stress on the brake band can be calculated using the formula:
Compression Stress = Load / (Brake Band Width * Thickness)
Given:
Load = 10 kN = 10,000 N
Thickness of plate = 3 mm
Compression stress permissible = 120 N/mm^2
We need to calculate the brake band width. Rearranging the compression stress formula, we have:
Brake Band Width = Load / (Compression Stress * Thickness)
3. Calculation:
Substituting the given values into the formulas, we can calculate the required rivet diameter and brake band width.
Shear Stress Calculation:
Rivet Diameter = √(10,000 / (4 * 60) * (4 / π))
Rivet Diameter ≈ 8 mm
Compression Stress Calculation:
Brake Band Width = 10,000 / (120 * 3)
Brake Band Width ≈ 27.78 mm
Therefore, the diameter of the rivets needed for the load of 10 kN is approximately 8 mm.
1. Shear Stress Calculation:
The shear stress on the rivets can be calculated using the formula:
Shear Stress = Load / (Number of rivets * Shear Area)
Given:
Load = 10 kN = 10,000 N
Number of rivets = 4
Shear stress permissible = 60 N/mm^2
We need to calculate the shear area of the rivets. Since the rivets are assumed to be cylindrical, the shear area is given by:
Shear Area = π * (rivet diameter)^2 / 4
We can rearrange the shear stress formula to solve for the rivet diameter:
Rivet Diameter = √(Load / (Number of rivets * Shear Stress) * (4 / π))
2. Compression Stress Calculation:
The compression stress on the brake band can be calculated using the formula:
Compression Stress = Load / (Brake Band Width * Thickness)
Given:
Load = 10 kN = 10,000 N
Thickness of plate = 3 mm
Compression stress permissible = 120 N/mm^2
We need to calculate the brake band width. Rearranging the compression stress formula, we have:
Brake Band Width = Load / (Compression Stress * Thickness)
3. Calculation:
Substituting the given values into the formulas, we can calculate the required rivet diameter and brake band width.
Shear Stress Calculation:
Rivet Diameter = √(10,000 / (4 * 60) * (4 / π))
Rivet Diameter ≈ 8 mm
Compression Stress Calculation:
Brake Band Width = 10,000 / (120 * 3)
Brake Band Width ≈ 27.78 mm
Therefore, the diameter of the rivets needed for the load of 10 kN is approximately 8 mm.
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A brake band attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear and compression are 60N/mm2 and 120N/mm2 respectively. Thickness of plate is 3mm. The diameter of the rivets needed for the load of 10kN (mm) isa)7mmb)8mmc)9mmd)10mmCorrect answer is option 'B'. Can you explain this answer?
Question Description
A brake band attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear and compression are 60N/mm2 and 120N/mm2 respectively. Thickness of plate is 3mm. The diameter of the rivets needed for the load of 10kN (mm) isa)7mmb)8mmc)9mmd)10mmCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A brake band attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear and compression are 60N/mm2 and 120N/mm2 respectively. Thickness of plate is 3mm. The diameter of the rivets needed for the load of 10kN (mm) isa)7mmb)8mmc)9mmd)10mmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A brake band attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear and compression are 60N/mm2 and 120N/mm2 respectively. Thickness of plate is 3mm. The diameter of the rivets needed for the load of 10kN (mm) isa)7mmb)8mmc)9mmd)10mmCorrect answer is option 'B'. Can you explain this answer?.
A brake band attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear and compression are 60N/mm2 and 120N/mm2 respectively. Thickness of plate is 3mm. The diameter of the rivets needed for the load of 10kN (mm) isa)7mmb)8mmc)9mmd)10mmCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A brake band attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear and compression are 60N/mm2 and 120N/mm2 respectively. Thickness of plate is 3mm. The diameter of the rivets needed for the load of 10kN (mm) isa)7mmb)8mmc)9mmd)10mmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A brake band attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear and compression are 60N/mm2 and 120N/mm2 respectively. Thickness of plate is 3mm. The diameter of the rivets needed for the load of 10kN (mm) isa)7mmb)8mmc)9mmd)10mmCorrect answer is option 'B'. Can you explain this answer?.
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A brake band attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear and compression are 60N/mm2 and 120N/mm2 respectively. Thickness of plate is 3mm. The diameter of the rivets needed for the load of 10kN (mm) isa)7mmb)8mmc)9mmd)10mmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A brake band attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear and compression are 60N/mm2 and 120N/mm2 respectively. Thickness of plate is 3mm. The diameter of the rivets needed for the load of 10kN (mm) isa)7mmb)8mmc)9mmd)10mmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A brake band attached to the hinge by means of a riveted lap joint having 4 rivets. The permissible stresses for the band and rivets in shear and compression are 60N/mm2 and 120N/mm2 respectively. Thickness of plate is 3mm. The diameter of the rivets needed for the load of 10kN (mm) isa)7mmb)8mmc)9mmd)10mmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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