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Two plates are fixed together by means of rivets. Both rivets and plates are made of plain carbon steel 10C4 with yield strength of 250 MPa. The load of 5 kN is applied on both ends of the plates and the factor of safety is 2.5. Determine shear stress according to the principle of shear stress theory
- a)200 MPa
- b)100 MPa
- c)50 MPa
- d)Data insufficient
Correct answer is option 'C'. Can you explain this answer?
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Two plates are fixed together by means of rivets. Both rivets and plat...
According to shear stress theory
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Two plates are fixed together by means of rivets. Both rivets and plat...
Given information:
- Plates and rivets are made of plain carbon steel 10C4.
- Yield strength of the steel is 250 MPa.
- Load of 5 kN is applied on both ends of the plates.
- Factor of safety is 2.5.
To determine the shear stress according to the principle of shear stress theory, we need to consider the following steps:
1. Calculate the area of the rivet:
- Since the load is applied on both ends of the plates, there are two rivets supporting the load.
- The load is 5 kN, which is equivalent to 5000 N.
- The area of each rivet can be determined using the formula: Area = Force / Shear Stress.
- Rearranging the formula, we get: Shear Stress = Force / Area.
2. Determine the force on each rivet:
- Since the load is applied on both ends of the plates, the total force is divided equally between the two rivets.
- Therefore, the force on each rivet is 5000 N / 2 = 2500 N.
3. Calculate the area of each rivet:
- The area of each rivet can be determined using the formula: Area = Force / Shear Stress.
- Rearranging the formula, we get: Shear Stress = Force / Area.
4. Determine the yield strength of the material:
- The yield strength of the plain carbon steel 10C4 is given as 250 MPa.
5. Calculate the shear stress on each rivet:
- Using the formula Shear Stress = Force / Area, we can substitute the values to calculate the shear stress on each rivet.
- Shear Stress = 2500 N / Area.
6. Calculate the area of each rivet:
- Rearranging the formula Area = Force / Shear Stress, we can substitute the values to calculate the area of each rivet.
- Area = 2500 N / Shear Stress.
7. Determine the shear stress according to the principle of shear stress theory:
- The factor of safety is given as 2.5, which means that the maximum allowable shear stress is 250 MPa / 2.5 = 100 MPa.
8. Compare the calculated shear stress with the maximum allowable shear stress:
- If the calculated shear stress is less than or equal to the maximum allowable shear stress, then the structure is safe.
- In this case, the calculated shear stress is 50 MPa, which is less than the maximum allowable shear stress of 100 MPa.
- Therefore, the correct answer is option C) 50 MPa.
- Plates and rivets are made of plain carbon steel 10C4.
- Yield strength of the steel is 250 MPa.
- Load of 5 kN is applied on both ends of the plates.
- Factor of safety is 2.5.
To determine the shear stress according to the principle of shear stress theory, we need to consider the following steps:
1. Calculate the area of the rivet:
- Since the load is applied on both ends of the plates, there are two rivets supporting the load.
- The load is 5 kN, which is equivalent to 5000 N.
- The area of each rivet can be determined using the formula: Area = Force / Shear Stress.
- Rearranging the formula, we get: Shear Stress = Force / Area.
2. Determine the force on each rivet:
- Since the load is applied on both ends of the plates, the total force is divided equally between the two rivets.
- Therefore, the force on each rivet is 5000 N / 2 = 2500 N.
3. Calculate the area of each rivet:
- The area of each rivet can be determined using the formula: Area = Force / Shear Stress.
- Rearranging the formula, we get: Shear Stress = Force / Area.
4. Determine the yield strength of the material:
- The yield strength of the plain carbon steel 10C4 is given as 250 MPa.
5. Calculate the shear stress on each rivet:
- Using the formula Shear Stress = Force / Area, we can substitute the values to calculate the shear stress on each rivet.
- Shear Stress = 2500 N / Area.
6. Calculate the area of each rivet:
- Rearranging the formula Area = Force / Shear Stress, we can substitute the values to calculate the area of each rivet.
- Area = 2500 N / Shear Stress.
7. Determine the shear stress according to the principle of shear stress theory:
- The factor of safety is given as 2.5, which means that the maximum allowable shear stress is 250 MPa / 2.5 = 100 MPa.
8. Compare the calculated shear stress with the maximum allowable shear stress:
- If the calculated shear stress is less than or equal to the maximum allowable shear stress, then the structure is safe.
- In this case, the calculated shear stress is 50 MPa, which is less than the maximum allowable shear stress of 100 MPa.
- Therefore, the correct answer is option C) 50 MPa.
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Two plates are fixed together by means of rivets. Both rivets and plates are made of plain carbon steel 10C4 with yield strength of 250 MPa. The load of 5 kN is applied on both ends of the plates and the factor of safety is 2.5. Determine shear stress according to the principle of shear stress theorya)200 MPab)100 MPac)50 MPad)Data insufficientCorrect answer is option 'C'. Can you explain this answer?
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Two plates are fixed together by means of rivets. Both rivets and plates are made of plain carbon steel 10C4 with yield strength of 250 MPa. The load of 5 kN is applied on both ends of the plates and the factor of safety is 2.5. Determine shear stress according to the principle of shear stress theorya)200 MPab)100 MPac)50 MPad)Data insufficientCorrect answer is option 'C'. 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 Two plates are fixed together by means of rivets. Both rivets and plates are made of plain carbon steel 10C4 with yield strength of 250 MPa. The load of 5 kN is applied on both ends of the plates and the factor of safety is 2.5. Determine shear stress according to the principle of shear stress theorya)200 MPab)100 MPac)50 MPad)Data insufficientCorrect answer is option 'C'. 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 Two plates are fixed together by means of rivets. Both rivets and plates are made of plain carbon steel 10C4 with yield strength of 250 MPa. The load of 5 kN is applied on both ends of the plates and the factor of safety is 2.5. Determine shear stress according to the principle of shear stress theorya)200 MPab)100 MPac)50 MPad)Data insufficientCorrect answer is option 'C'. Can you explain this answer?.
Two plates are fixed together by means of rivets. Both rivets and plates are made of plain carbon steel 10C4 with yield strength of 250 MPa. The load of 5 kN is applied on both ends of the plates and the factor of safety is 2.5. Determine shear stress according to the principle of shear stress theorya)200 MPab)100 MPac)50 MPad)Data insufficientCorrect answer is option 'C'. 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 Two plates are fixed together by means of rivets. Both rivets and plates are made of plain carbon steel 10C4 with yield strength of 250 MPa. The load of 5 kN is applied on both ends of the plates and the factor of safety is 2.5. Determine shear stress according to the principle of shear stress theorya)200 MPab)100 MPac)50 MPad)Data insufficientCorrect answer is option 'C'. 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 Two plates are fixed together by means of rivets. Both rivets and plates are made of plain carbon steel 10C4 with yield strength of 250 MPa. The load of 5 kN is applied on both ends of the plates and the factor of safety is 2.5. Determine shear stress according to the principle of shear stress theorya)200 MPab)100 MPac)50 MPad)Data insufficientCorrect answer is option 'C'. Can you explain this answer?.
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