Mechanical Engineering Exam > Mechanical Engineering Questions > The bracket welded to the vertical plate by m...
Start Learning for Free
The bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.
- a)None of the listed
- b)34N/mm²
- c)24 N/mm²
- d)44 N/mm²
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The bracket welded to the vertical plate by means of two fillet welds....
Explanation: σ=My/I where y=250mm,I=2xtx500ᵌ/12 where t=4/.707.
Most Upvoted Answer
The bracket welded to the vertical plate by means of two fillet welds....
To calculate the bending stress in the welds, we need to find the moment of the applied force about the center of the welds.
The moment (M) can be calculated using the formula: M = P * e, where P is the applied force and e is the distance from the line of action of the force to the center of the welds.
Given:
P = 40 kN = 40,000 N
e = 400 mm = 0.4 m
M = 40,000 N * 0.4 m
M = 16,000 Nm
Now, let's calculate the bending stress (σ) in the welds using the formula: σ = M / (Z * A), where Z is the section modulus and A is the throat area of the fillet welds.
Since the welds are fillet welds, the throat area can be approximated as the leg size of the weld (4 mm) multiplied by the effective length of the weld (which is half the leg size, assuming equal leg fillet welds).
A = 4 mm * 2 = 8 mm^2 = 8 * 10^-6 m^2
The section modulus (Z) can be calculated using the formula: Z = (w * h^2) / 6, where w is the leg size of the weld and h is the distance from the center of the weld to the outer edge (assuming a triangular shape of the weld).
In this case, h can be approximated as half the leg size (2 mm).
Z = (4 mm * (2 mm)^2) / 6 = 16 mm^3 = 16 * 10^-9 m^3
Now, let's calculate the bending stress:
σ = 16,000 Nm / ((16 * 10^-9 m^3) * (8 * 10^-6 m^2))
σ = 34 N/mm^2
Therefore, the bending stress in the welds is 34 N/mm^2. The correct answer is b) 34 N/mm^2.
The moment (M) can be calculated using the formula: M = P * e, where P is the applied force and e is the distance from the line of action of the force to the center of the welds.
Given:
P = 40 kN = 40,000 N
e = 400 mm = 0.4 m
M = 40,000 N * 0.4 m
M = 16,000 Nm
Now, let's calculate the bending stress (σ) in the welds using the formula: σ = M / (Z * A), where Z is the section modulus and A is the throat area of the fillet welds.
Since the welds are fillet welds, the throat area can be approximated as the leg size of the weld (4 mm) multiplied by the effective length of the weld (which is half the leg size, assuming equal leg fillet welds).
A = 4 mm * 2 = 8 mm^2 = 8 * 10^-6 m^2
The section modulus (Z) can be calculated using the formula: Z = (w * h^2) / 6, where w is the leg size of the weld and h is the distance from the center of the weld to the outer edge (assuming a triangular shape of the weld).
In this case, h can be approximated as half the leg size (2 mm).
Z = (4 mm * (2 mm)^2) / 6 = 16 mm^3 = 16 * 10^-9 m^3
Now, let's calculate the bending stress:
σ = 16,000 Nm / ((16 * 10^-9 m^3) * (8 * 10^-6 m^2))
σ = 34 N/mm^2
Therefore, the bending stress in the welds is 34 N/mm^2. The correct answer is b) 34 N/mm^2.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
The bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct answer is option 'B'. Can you explain this answer?
Question Description
The bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct 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 bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct 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 bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct answer is option 'B'. Can you explain this answer?.
The bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct 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 bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct 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 bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct answer is option 'B'. Can you explain this answer?.
Solutions for The bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of The bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The bracket welded to the vertical plate by means of two fillet welds. Calculate the bending stress in the welds if P=40kN, leg=4mm and e=400mm.a)None of the listedb)34N/mm²c)24 N/mm²d)44 N/mm²Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering 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