Civil Engineering (CE) Exam  >  Civil Engineering (CE) Questions  >  A rectangular beam 250mm x 520 mm overall is ... Start Learning for Free
A rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of 20 mm diameter in tension zone. Assume both tension and compression steels are yielded. M20 concrete and Fe 415 steel are used. Effective corer is 40mm, for both tension and compression steels.
Q. 
Limiting moment of resistance of the beam is
  • a)
    179 kN-m    
  • b)
    182 kN-m    
  • c)
    190 kN-m    
  • d)
    210 kN-m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of...



= 190kN-m
View all questions of this test
Most Upvoted Answer
A rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of...
Given information:


  • Rectangular beam dimensions: 250mm x 520mm

  • 4 bars of 20mm diameter in tension zone

  • M20 concrete and Fe 415 steel

  • Effective cover is 40mm for both tension and compression steels



Calculating the limiting moment of resistance:

The limiting moment of resistance can be calculated using the formula:

Mlim = As x fy x (d - a/2)


  • As: Total area of steel reinforcement in tension zone

  • fy: Yield strength of steel

  • d: Effective depth of the beam

  • a: Depth of the stress block



Calculating the area of steel reinforcement:

The area of steel reinforcement in tension zone can be calculated using the formula:

As = (n x π x d^2) / 4


  • n: Number of bars

  • d: Diameter of each bar



Calculating the effective depth:

The effective depth of the beam can be calculated using the formula:

d = overall depth - cover - a/2


  • Overall depth: 520mm

  • Cover: 40mm

  • a: Depth of the stress block



Calculating the depth of the stress block:

The depth of the stress block can be assumed as:

a = 0.5 x β x d


  • β: Lever arm factor

  • d: Effective depth of the beam



Substituting the values:

Assuming β = 0.85 (as per IS 456:2000) and solving the equations:

Number of bars (n) = 4

Diameter of each bar (d) = 20mm

Overall depth = 520mm

Cover = 40mm

Effective depth (d) = 520 - 40 - (0.5 x 0.85 x (520 - 40))/2 = 480mm

Area of steel reinforcement (As) = (4 x π x 20^2) / 4 = 1256mm^2

Limiting moment of resistance (Mlim) = 1256 x 415 x (480 - (0.5 x 0.85 x 480))/2 = 190 kN-m


Conclusion:

The limiting moment of resistance of the beam is 190 kN-m (option C).
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

A rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of 20 mm diameter in tension zone. Assume both tension and compression steels are yielded. M20 concrete and Fe 415 steel are used. Effective corer is 40mm, for both tension and compression steels.Q.Limiting moment of resistance of the beam isa)179 kN-m b)182 kN-m c)190 kN-m d)210 kN-mCorrect answer is option 'C'. Can you explain this answer?
Question Description
A rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of 20 mm diameter in tension zone. Assume both tension and compression steels are yielded. M20 concrete and Fe 415 steel are used. Effective corer is 40mm, for both tension and compression steels.Q.Limiting moment of resistance of the beam isa)179 kN-m b)182 kN-m c)190 kN-m d)210 kN-mCorrect answer is option 'C'. 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 rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of 20 mm diameter in tension zone. Assume both tension and compression steels are yielded. M20 concrete and Fe 415 steel are used. Effective corer is 40mm, for both tension and compression steels.Q.Limiting moment of resistance of the beam isa)179 kN-m b)182 kN-m c)190 kN-m d)210 kN-mCorrect answer is option 'C'. 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 rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of 20 mm diameter in tension zone. Assume both tension and compression steels are yielded. M20 concrete and Fe 415 steel are used. Effective corer is 40mm, for both tension and compression steels.Q.Limiting moment of resistance of the beam isa)179 kN-m b)182 kN-m c)190 kN-m d)210 kN-mCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of 20 mm diameter in tension zone. Assume both tension and compression steels are yielded. M20 concrete and Fe 415 steel are used. Effective corer is 40mm, for both tension and compression steels.Q.Limiting moment of resistance of the beam isa)179 kN-m b)182 kN-m c)190 kN-m d)210 kN-mCorrect answer is option 'C'. 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 rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of 20 mm diameter in tension zone. Assume both tension and compression steels are yielded. M20 concrete and Fe 415 steel are used. Effective corer is 40mm, for both tension and compression steels.Q.Limiting moment of resistance of the beam isa)179 kN-m b)182 kN-m c)190 kN-m d)210 kN-mCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of 20 mm diameter in tension zone. Assume both tension and compression steels are yielded. M20 concrete and Fe 415 steel are used. Effective corer is 40mm, for both tension and compression steels.Q.Limiting moment of resistance of the beam isa)179 kN-m b)182 kN-m c)190 kN-m d)210 kN-mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of 20 mm diameter in tension zone. Assume both tension and compression steels are yielded. M20 concrete and Fe 415 steel are used. Effective corer is 40mm, for both tension and compression steels.Q.Limiting moment of resistance of the beam isa)179 kN-m b)182 kN-m c)190 kN-m d)210 kN-mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of 20 mm diameter in tension zone. Assume both tension and compression steels are yielded. M20 concrete and Fe 415 steel are used. Effective corer is 40mm, for both tension and compression steels.Q.Limiting moment of resistance of the beam isa)179 kN-m b)182 kN-m c)190 kN-m d)210 kN-mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A rectangular beam 250mm x 520 mm overall is reinforced with 4 bars of 20 mm diameter in tension zone. Assume both tension and compression steels are yielded. M20 concrete and Fe 415 steel are used. Effective corer is 40mm, for both tension and compression steels.Q.Limiting moment of resistance of the beam isa)179 kN-m b)182 kN-m c)190 kN-m d)210 kN-mCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev