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The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.
Q.
Determine the mean load on the bolt.
- a)2.46 kN
- b)5.46 kN
- c)7.93 kN
- d)8 kN
Correct answer is option 'B'. Can you explain this answer?
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Given data:
- Length of the bolt (L) = 50 mm
- Outer diameter of the plates (D) = 2 * inner diameter of the plates
- Variable load (P) = 0 to 10 kN
- Ultimate strength of the bolt material (σu) = 630 MPa
- Yield strength of the bolt material (σy) = 380 MPa
- Young's modulus of bolt material (Eb) = 207 GPa
- Young's modulus of plates material (Ep) = 71 GPa
- Surface finish factor (Kf) = 0.75
- Size factor (Ks) = 0.85
- Reliability factor (Kr) = 0.897
- Fatigue stress concentration factor (Kt) = 2.2
- Initial preload in the bolt (P0) = 3 kN
To find: Mean load on the bolt
Assumptions:
- The bolt is in pure tension.
- The load is applied axially.
- The stress distribution is uniform across the cross-section of the bolt.
Solution:
1. Calculate the effective stress area of the bolt (Ae):
- Ae = (π/4) * (Di)²
- Di = D/2 (inner diameter of the plates)
2. Calculate the effective modulus of elasticity of the bolt (Ebe):
- Ebe = (Eb * Ae) / (Ab)
- Ab = π * (Db)² / 4 (cross-sectional area of the bolt)
- Db = D - L (diameter of the bolt)
3. Calculate the stress in the bolt under preload (σp):
- σp = P0 / Ae
4. Calculate the mean stress in the bolt (σm):
- σm = (P / Ae) + (P0 / Ae)
5. Calculate the fatigue strength of the bolt (σf):
- σf = (σu / Kf) * Ks * Kr * Kt
6. Determine the mean load on the bolt (P):
- P = (σf - (P0 / Ae)) * Ae
Calculation:
1. Given data:
- D
- Length of the bolt (L) = 50 mm
- Outer diameter of the plates (D) = 2 * inner diameter of the plates
- Variable load (P) = 0 to 10 kN
- Ultimate strength of the bolt material (σu) = 630 MPa
- Yield strength of the bolt material (σy) = 380 MPa
- Young's modulus of bolt material (Eb) = 207 GPa
- Young's modulus of plates material (Ep) = 71 GPa
- Surface finish factor (Kf) = 0.75
- Size factor (Ks) = 0.85
- Reliability factor (Kr) = 0.897
- Fatigue stress concentration factor (Kt) = 2.2
- Initial preload in the bolt (P0) = 3 kN
To find: Mean load on the bolt
Assumptions:
- The bolt is in pure tension.
- The load is applied axially.
- The stress distribution is uniform across the cross-section of the bolt.
Solution:
1. Calculate the effective stress area of the bolt (Ae):
- Ae = (π/4) * (Di)²
- Di = D/2 (inner diameter of the plates)
2. Calculate the effective modulus of elasticity of the bolt (Ebe):
- Ebe = (Eb * Ae) / (Ab)
- Ab = π * (Db)² / 4 (cross-sectional area of the bolt)
- Db = D - L (diameter of the bolt)
3. Calculate the stress in the bolt under preload (σp):
- σp = P0 / Ae
4. Calculate the mean stress in the bolt (σm):
- σm = (P / Ae) + (P0 / Ae)
5. Calculate the fatigue strength of the bolt (σf):
- σf = (σu / Kf) * Ks * Kr * Kt
6. Determine the mean load on the bolt (P):
- P = (σf - (P0 / Ae)) * Ae
Calculation:
1. Given data:
- D
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The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect answer is option 'B'. Can you explain this answer?
Question Description
The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect 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 The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect 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 The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect answer is option 'B'. Can you explain this answer?.
The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect 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 The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect 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 The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The assemble of two circular plates, clamped together by a bolt whose length is 50 mm, outside diameter is twice the inner diameter and is subjected to a variable load varying from 0 to 10 kN. The ultimate and yield strength of the bolt material is 630 MPa and 380 MPa respectively. The Young’s modulus of bolt and plates material is 207 GPa & 71 GPa respectively. The surface finish factor is 0.75, size factor is 0.85 m reliability factor is 0.897, and the fatigue stress concentration factor is 2.2, the initial preload in the bolt is 3 kN.Q.Determine the mean load on the bolt.a)2.46 kNb)5.46 kNc)7.93 kNd)8 kNCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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