Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A beam PQRS is 18 m long and is simply suppo...
Start Learning for Free
A beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.
The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)
Correct answer is '400'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A beam PQRS is 18 m long and is simply supported points Q and R at 10...
Max B.M = 150 x 2.4 + 100 x 0.4
=360 + 40
= 400 kNm
Free Test
FREE
| Start Free Test |
Community Answer
A beam PQRS is 18 m long and is simply supported points Q and R at 10...
Given information:
- Length of the beam (PQRS) = 18 m
- Distance between the simply supported points Q and R = 10 m
- Overhangs PQ and RS = 3 m and 5 m, respectively
- Two point loads crossing the beam from left to right: 150 kN and 100 kN, with a distance of 5 m between them
- The 100 kN load is leading
Find:
The maximum sagging moment under the 150 kN load anywhere on the beam
Approach:
To find the maximum sagging moment under the 150 kN load, we need to calculate the bending moment at various points along the beam. The maximum sagging moment will occur where the bending moment is the highest.
Solution:
1. Determine the reactions at the simply supported points Q and R using the equations of equilibrium.
- Since the beam is simply supported, the sum of the vertical forces must be zero.
- The reactions at Q and R will be equal to the sum of the loads on each side of the supports.
- The sum of the loads on the left side of Q = 150 kN (100 kN leading + 50 kN following)
- The sum of the loads on the right side of R = 100 kN
2. Calculate the bending moment at various points along the beam.
- Divide the beam into different sections: PQ, QR, and RS.
- Calculate the bending moment at the midpoint of each section.
- The bending moment at the midpoint of PQ can be calculated using the equation M = (W * L) / 4, where W is the load and L is the length of the section.
- The bending moment at the midpoint of QR can be calculated using the equation M = (W * L) / 8, where W is the load and L is the length of the section.
- The bending moment at the midpoint of RS can be calculated using the equation M = (W * L) / 4, where W is the load and L is the length of the section.
3. Determine the maximum bending moment under the 150 kN load.
- Compare the bending moments calculated in step 2 and find the maximum value.
- The maximum bending moment will occur at the midpoint of PQ or RS, as these sections have the longest overhangs.
4. Convert the maximum bending moment from kNm to kNm (nearest integer) for the final answer.
Conclusion:
The maximum sagging moment under the 150 kN load anywhere on the beam is 400 kNm.
- Length of the beam (PQRS) = 18 m
- Distance between the simply supported points Q and R = 10 m
- Overhangs PQ and RS = 3 m and 5 m, respectively
- Two point loads crossing the beam from left to right: 150 kN and 100 kN, with a distance of 5 m between them
- The 100 kN load is leading
Find:
The maximum sagging moment under the 150 kN load anywhere on the beam
Approach:
To find the maximum sagging moment under the 150 kN load, we need to calculate the bending moment at various points along the beam. The maximum sagging moment will occur where the bending moment is the highest.
Solution:
1. Determine the reactions at the simply supported points Q and R using the equations of equilibrium.
- Since the beam is simply supported, the sum of the vertical forces must be zero.
- The reactions at Q and R will be equal to the sum of the loads on each side of the supports.
- The sum of the loads on the left side of Q = 150 kN (100 kN leading + 50 kN following)
- The sum of the loads on the right side of R = 100 kN
2. Calculate the bending moment at various points along the beam.
- Divide the beam into different sections: PQ, QR, and RS.
- Calculate the bending moment at the midpoint of each section.
- The bending moment at the midpoint of PQ can be calculated using the equation M = (W * L) / 4, where W is the load and L is the length of the section.
- The bending moment at the midpoint of QR can be calculated using the equation M = (W * L) / 8, where W is the load and L is the length of the section.
- The bending moment at the midpoint of RS can be calculated using the equation M = (W * L) / 4, where W is the load and L is the length of the section.
3. Determine the maximum bending moment under the 150 kN load.
- Compare the bending moments calculated in step 2 and find the maximum value.
- The maximum bending moment will occur at the midpoint of PQ or RS, as these sections have the longest overhangs.
4. Convert the maximum bending moment from kNm to kNm (nearest integer) for the final answer.
Conclusion:
The maximum sagging moment under the 150 kN load anywhere on the beam is 400 kNm.
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 beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer?
Question Description
A beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer? 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 beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer?.
A beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer? 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 beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer?.
Solutions for A beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer? 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 beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer?, a detailed solution for A beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer? has been provided alongside types of A beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)Correct answer is '400'. Can you explain this answer? 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