Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > An RCC beam 230 mm × 450 mm (effective) is s...
Start Learning for Free
An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)
Correct answer is '9.4'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
An RCC beam 230 mm × 450 mm (effective) is supported over an effectiv...
B = 230 mm, d = 450 mm, Ast = 
= 804.25 mm
= 804.25 mm=233.79 mm
Free Test
FREE
| Start Free Test |
Community Answer
An RCC beam 230 mm × 450 mm (effective) is supported over an effectiv...
Given Data
- Beam size: 230 mm × 450 mm
- Effective span: 6 m
- Steel bars: 16 Φ 4 bars
- Concrete grade: M-15
- Steel grade: E 415
Step 1: Calculate the Effective Depth
- Effective depth (d) = Total depth - clear cover - bar diameter
- Assuming a clear cover of 25 mm and bar diameter of 12 mm, the effective depth is approximately:
d = 450 mm - 25 mm - 12 mm = 413 mm
Step 2: Calculate the Area of Steel
- Area of one bar = π/4 * (d^2) = π/4 * (12 mm)^2 ≈ 113 mm²
- Total area of steel (Ast) = Number of bars * Area of one bar = 16 * 113 mm² ≈ 1808 mm²
Step 3: Calculate the Moment of Resistance
- Use the formula for the moment of resistance (Mu) for a singly reinforced beam:
Mu = 0.138 * fck * b * d²
- Here, fck for M-15 = 15 N/mm², b = 230 mm, and d = 413 mm.
- Mu = 0.138 * 15 * 230 * (413)² ≈ 58.26 kNm
Step 4: Calculate the Maximum Bending Moment
- For a simply supported beam under uniformly distributed load (w):
Mu = w * L² / 8
- Rearranging gives:
w = 8 * Mu / L²
Step 5: Substitute Values
- L = 6 m = 6000 mm
- w = 8 * 58.26 * 10^6 / (6000)² ≈ 9.4 kN/m
Conclusion
The working uniformly distributed load (u.d.l.) that the beam can carry is approximately 9.4 kN/m.
- Beam size: 230 mm × 450 mm
- Effective span: 6 m
- Steel bars: 16 Φ 4 bars
- Concrete grade: M-15
- Steel grade: E 415
Step 1: Calculate the Effective Depth
- Effective depth (d) = Total depth - clear cover - bar diameter
- Assuming a clear cover of 25 mm and bar diameter of 12 mm, the effective depth is approximately:
d = 450 mm - 25 mm - 12 mm = 413 mm
Step 2: Calculate the Area of Steel
- Area of one bar = π/4 * (d^2) = π/4 * (12 mm)^2 ≈ 113 mm²
- Total area of steel (Ast) = Number of bars * Area of one bar = 16 * 113 mm² ≈ 1808 mm²
Step 3: Calculate the Moment of Resistance
- Use the formula for the moment of resistance (Mu) for a singly reinforced beam:
Mu = 0.138 * fck * b * d²
- Here, fck for M-15 = 15 N/mm², b = 230 mm, and d = 413 mm.
- Mu = 0.138 * 15 * 230 * (413)² ≈ 58.26 kNm
Step 4: Calculate the Maximum Bending Moment
- For a simply supported beam under uniformly distributed load (w):
Mu = w * L² / 8
- Rearranging gives:
w = 8 * Mu / L²
Step 5: Substitute Values
- L = 6 m = 6000 mm
- w = 8 * 58.26 * 10^6 / (6000)² ≈ 9.4 kN/m
Conclusion
The working uniformly distributed load (u.d.l.) that the beam can carry is approximately 9.4 kN/m.
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
An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. Can you explain this answer?
Question Description
An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. 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 An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. 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 An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. Can you explain this answer?.
An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. 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 An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. 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 An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. Can you explain this answer?.
Solutions for An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. 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 An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. Can you explain this answer?, a detailed solution for An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. Can you explain this answer? has been provided alongside types of An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)Correct answer is '9.4'. 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