Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A circular shaft of diameter 120mm is welded ...
Start Learning for Free
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?
Most Upvoted Answer
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
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
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?
Question Description
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) 2024 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) 2024 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) 2024 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) 2024 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?.
Solutions 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? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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 detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup