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A circular shaft of diameter 120mm is welded to a rigid plate by a fillet weld of size 6 mm .if a torque of 6 knm is applied to shaft then what is max stress in the weld?
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A circular shaft of diameter 120mm is welded to a rigid plate by a fil...
Calculation of Maximum Stress in Weld
To calculate the maximum stress in the weld, we need to use the following formula:
τ = (16/π) * (T/d^3)
where τ is the maximum shear stress, T is the torque applied, d is the diameter of the shaft, and π is the mathematical constant pi.
Given Data:
- Diameter of the shaft (d) = 120 mm
- Torque applied (T) = 6 kNm
- Fillet weld size = 6 mm
Calculation:
- Convert the torque from kilonewton-meters (kNm) to newton-meters (Nm).
T = 6 kNm = 6,000 Nm
- Calculate the cross-sectional area of the weld.
A = 0.707 * w * t
where w is the length of the weld and t is the thickness of the weld.
In this case, the length of the weld is equal to the circumference of the shaft, which can be calculated as:
C = π * d = 3.14 * 120 = 376.8 mm
Therefore, the cross-sectional area of the weld is:
A = 0.707 * 376.8 * 6 = 1,598.7 mm^2
- Calculate the maximum shear stress in the weld.
τ = (16/π) * (T/d^3) = (16/3.14) * (6,000/(120^3)) = 4.46 N/mm^2
- Calculate the maximum stress in the weld.
σ = τ * (w/t) = 4.46 * (376.8/6) = 281.3 N/mm^2
Therefore, the maximum stress in the weld is 281.3 N/mm^2.
Conclusion:
The maximum stress in the weld is 281.3 N/mm^2 when a torque of 6 kNm is applied to a circular shaft of diameter 120 mm that is welded to a rigid plate by a fillet weld of size 6 mm.
To calculate the maximum stress in the weld, we need to use the following formula:
τ = (16/π) * (T/d^3)
where τ is the maximum shear stress, T is the torque applied, d is the diameter of the shaft, and π is the mathematical constant pi.
Given Data:
- Diameter of the shaft (d) = 120 mm
- Torque applied (T) = 6 kNm
- Fillet weld size = 6 mm
Calculation:
- Convert the torque from kilonewton-meters (kNm) to newton-meters (Nm).
T = 6 kNm = 6,000 Nm
- Calculate the cross-sectional area of the weld.
A = 0.707 * w * t
where w is the length of the weld and t is the thickness of the weld.
In this case, the length of the weld is equal to the circumference of the shaft, which can be calculated as:
C = π * d = 3.14 * 120 = 376.8 mm
Therefore, the cross-sectional area of the weld is:
A = 0.707 * 376.8 * 6 = 1,598.7 mm^2
- Calculate the maximum shear stress in the weld.
τ = (16/π) * (T/d^3) = (16/3.14) * (6,000/(120^3)) = 4.46 N/mm^2
- Calculate the maximum stress in the weld.
σ = τ * (w/t) = 4.46 * (376.8/6) = 281.3 N/mm^2
Therefore, the maximum stress in the weld is 281.3 N/mm^2.
Conclusion:
The maximum stress in the weld is 281.3 N/mm^2 when a torque of 6 kNm is applied to a circular shaft of diameter 120 mm that is welded to a rigid plate by a fillet weld of size 6 mm.
Community Answer
A circular shaft of diameter 120mm is welded to a rigid plate by a fil...
84 N/mm^2
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A circular shaft of diameter 120mm is welded to a rigid plate by a fillet weld of size 6 mm .if a torque of 6 knm is applied to shaft then what is max stress in the weld?
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A circular shaft of diameter 120mm is welded to a rigid plate by a fillet weld of size 6 mm .if a torque of 6 knm is applied to shaft then what is max stress in the weld? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A circular shaft of diameter 120mm is welded to a rigid plate by a fillet weld of size 6 mm .if a torque of 6 knm is applied to shaft then what is max stress in the weld? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular shaft of diameter 120mm is welded to a rigid plate by a fillet weld of size 6 mm .if a torque of 6 knm is applied to shaft then what is max stress in the weld?.
A circular shaft of diameter 120mm is welded to a rigid plate by a fillet weld of size 6 mm .if a torque of 6 knm is applied to shaft then what is max stress in the weld? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A circular shaft of diameter 120mm is welded to a rigid plate by a fillet weld of size 6 mm .if a torque of 6 knm is applied to shaft then what is max stress in the weld? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular shaft of diameter 120mm is welded to a rigid plate by a fillet weld of size 6 mm .if a torque of 6 knm is applied to shaft then what is max stress in the weld?.
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