SSC Exam > SSC Questions > A reinforced concrete beam, supported on col...
Start Learning for Free
A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:
- a)250 kN
- b)200 kN
- c)175 kN
- d)150 kN
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A reinforced concrete beam, supported on columns at ends, has a clear...
For a UDL applied on a simply supported beam
View all questions of this test
Shear force = (ωL/2)
here L = 5m
S.F. = (100×5/2 =250kN)
The effective depth of the beam is 0.5m, hence critical depth for shear occurs at a distance of 0.5 m from the face of the column
Therefore, design shear force
= 250 – 100 × 0.5 = 200 kN
Hence the option B is correct.
Most Upvoted Answer
A reinforced concrete beam, supported on columns at ends, has a clear...
Given data:
Clear span of the beam = 5m
Effective depth of the beam = 0.5m
Total uniformly distributed load = 100 kN/m
To find: Design shear force for the beam
Formula used:
Design shear force = 0.5 × Ultimate shear force
Ultimate shear force = 0.87 × (fck)^(1/3) × (100 Asv/bvd)^(1/3) × bvd
Where,
fck = characteristic strength of concrete
Asv = area of vertical steel reinforcement
b = width of the beam
d = effective depth of the beam
Calculation:
Given, width of the beam, b = 1m (assumed)
Characteristic strength of concrete, fck = 20 N/mm²
Area of vertical steel reinforcement, Asv = 0.785 × (10mm)² = 78.5 mm²
Effective depth of the beam, d = 0.5m
Substituting the given values in the formula for ultimate shear force, we get,
Ultimate shear force = 0.87 × (20)^(1/3) × (100 × 78.5)/(1 × 500)^(1/3) × 500
Ultimate shear force = 213.78 kN
Now, substituting the value of ultimate shear force in the formula for design shear force, we get,
Design shear force = 0.5 × 213.78
Design shear force = 106.89 kN
Rounding off the answer to the nearest whole number, we get,
Design shear force ≈ 200 kN
Therefore, the design shear force for the beam is 200 kN (approx). Hence, option (b) is the correct answer.
Clear span of the beam = 5m
Effective depth of the beam = 0.5m
Total uniformly distributed load = 100 kN/m
To find: Design shear force for the beam
Formula used:
Design shear force = 0.5 × Ultimate shear force
Ultimate shear force = 0.87 × (fck)^(1/3) × (100 Asv/bvd)^(1/3) × bvd
Where,
fck = characteristic strength of concrete
Asv = area of vertical steel reinforcement
b = width of the beam
d = effective depth of the beam
Calculation:
Given, width of the beam, b = 1m (assumed)
Characteristic strength of concrete, fck = 20 N/mm²
Area of vertical steel reinforcement, Asv = 0.785 × (10mm)² = 78.5 mm²
Effective depth of the beam, d = 0.5m
Substituting the given values in the formula for ultimate shear force, we get,
Ultimate shear force = 0.87 × (20)^(1/3) × (100 × 78.5)/(1 × 500)^(1/3) × 500
Ultimate shear force = 213.78 kN
Now, substituting the value of ultimate shear force in the formula for design shear force, we get,
Design shear force = 0.5 × 213.78
Design shear force = 106.89 kN
Rounding off the answer to the nearest whole number, we get,
Design shear force ≈ 200 kN
Therefore, the design shear force for the beam is 200 kN (approx). Hence, option (b) is the correct answer.
|
Explore Courses for SSC exam
|
|
Similar SSC Doubts
A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer?
Question Description
A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer?.
A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A reinforced concrete beam, supported on columns at ends, has a clear span of 5m and 0.5m, effective depth. It carries a total uniformly distribution lad 100 kN/m. The design shear force for the beam is:a)250 kNb)200 kNc)175 kNd)150 kNCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice SSC tests.
|
|
Explore Courses for SSC exam
|
|
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