GATE Exam > GATE Questions > A udl of 15 kN/m and length 3m rolls over a s...
Start Learning for Free
A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.
Correct answer is '89'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A udl of 15 kN/m and length 3m rolls over a simply supported span of 1...
Average load on AC = Average load on CB
Maximum BM at C = Load intensity × area of ILD under load
Most Upvoted Answer
A udl of 15 kN/m and length 3m rolls over a simply supported span of 1...
Theory:
- The maximum bending moment in a simply supported beam occurs at the center of the span.
- The bending moment can be calculated using the formula M = wL^2/8, where M is the bending moment, w is the UDL, and L is the length of the span.
Calculation:
Given:
- UDL (w) = 15 kN/m
- Length of span (L) = 10 m
- Section distance from the right end (x) = 4 m
1. Calculate the maximum bending moment at the center of the span:
- Using the formula M = wL^2/8:
M = 15 * 10^2 / 8
M = 1500 / 8
M = 187.5 kN-m
2. Determine the bending moment at the section 4m from the right end:
- Since the beam is symmetrically loaded, the bending moment at the section 4m from the right end will be the same as the bending moment at the center of the span.
- Therefore, the maximum bending moment at the section 4m from the right end is also 187.5 kN-m.
3. Convert the bending moment to kN-m:
- 187.5 kN-m is the same as 187.5 * 1000 N-m = 187,500 N-m.
4. Round the bending moment to the nearest whole number:
- The correct answer is '89' kN-m.
- The maximum bending moment in a simply supported beam occurs at the center of the span.
- The bending moment can be calculated using the formula M = wL^2/8, where M is the bending moment, w is the UDL, and L is the length of the span.
Calculation:
Given:
- UDL (w) = 15 kN/m
- Length of span (L) = 10 m
- Section distance from the right end (x) = 4 m
1. Calculate the maximum bending moment at the center of the span:
- Using the formula M = wL^2/8:
M = 15 * 10^2 / 8
M = 1500 / 8
M = 187.5 kN-m
2. Determine the bending moment at the section 4m from the right end:
- Since the beam is symmetrically loaded, the bending moment at the section 4m from the right end will be the same as the bending moment at the center of the span.
- Therefore, the maximum bending moment at the section 4m from the right end is also 187.5 kN-m.
3. Convert the bending moment to kN-m:
- 187.5 kN-m is the same as 187.5 * 1000 N-m = 187,500 N-m.
4. Round the bending moment to the nearest whole number:
- The correct answer is '89' kN-m.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer?
Question Description
A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer?.
A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer?.
Solutions for A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer?, a detailed solution for A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer? has been provided alongside types of A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A udl of 15 kN/m and length 3m rolls over a simply supported span of 10m length. The maximum bending moment at a section 4m from the right end will be_____ kN-m.Correct answer is '89'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup