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A simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -
M20 grade concrete is used with τc = 0.48Mpa
- a)Beam is safe in shear; no need of transverse shear reinforcement.
- b)No need of bent up bar.
- c)Beam is to be designed for transverse shear reinforcement.
- d)Section should be revised.
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A simply supported beam of 300 mm wide and 500 mm deep is loaded as th...
Shear resisted by concrete = τc bd
= 0.48 × 300 × 500 × 10 - 3
= 72 KN > 70 KN
Now, at the support shear to be resisted by bent up bar,
Vus = Vu - τc bd = 140 - 72 = 68 KN
Shear resisted by bent up bars near supports,
Vusb = 0.87 fy Ast Sinα
Vusb = 0.87 × 415 × π/4 × 222 × sin45∘
Vusb = 0.87 × 415 × π/4 × 222 × sin45∘
= 97 KN > 68 KN
So the beam is safe in shear throughout the beam with bent up bars.
No need of transverse shear reinforcement.
Most Upvoted Answer
A simply supported beam of 300 mm wide and 500 mm deep is loaded as th...
A design shear strength of 0.34 N/mm².
First, we need to calculate the maximum bending moment (MBM) in the beam:
MBM = (SF x L)/2 = (140 x 3)/2 = 210 KNm
Next, we need to calculate the area of steel required for bending:
As = (0.5 x V x L)/ (0.87 x fy x d) = (0.5 x 140 x 3000)/ (0.87 x 415 x 500) = 27.6 mm²
Since one out of six bars is bent up, the area of steel provided is:
Aprov = (5/6) x (π/4) x (22)^2 = 231.04 mm²
Since Aprov is greater than As, the beam is safe against shear.
Now, we need to check the beam for bending stresses:
M/S = σ / y
Where M is the bending moment, S is the section modulus, σ is the bending stress, and y is the distance from the neutral axis to the outermost fiber.
S = (bd^2)/6 = (300 x 500^2)/6 = 12.5 x 10^6 mm^3
y = d/2 = 250 mm
σ = (M x y)/S = (210 x 250)/12.5 x 10^6 = 4.2 N/mm²
Since the maximum allowable bending stress for M20 grade concrete is 5 N/mm², the beam is safe against bending.
Therefore, the correct statement is that the beam is safe against both shear and bending.
First, we need to calculate the maximum bending moment (MBM) in the beam:
MBM = (SF x L)/2 = (140 x 3)/2 = 210 KNm
Next, we need to calculate the area of steel required for bending:
As = (0.5 x V x L)/ (0.87 x fy x d) = (0.5 x 140 x 3000)/ (0.87 x 415 x 500) = 27.6 mm²
Since one out of six bars is bent up, the area of steel provided is:
Aprov = (5/6) x (π/4) x (22)^2 = 231.04 mm²
Since Aprov is greater than As, the beam is safe against shear.
Now, we need to check the beam for bending stresses:
M/S = σ / y
Where M is the bending moment, S is the section modulus, σ is the bending stress, and y is the distance from the neutral axis to the outermost fiber.
S = (bd^2)/6 = (300 x 500^2)/6 = 12.5 x 10^6 mm^3
y = d/2 = 250 mm
σ = (M x y)/S = (210 x 250)/12.5 x 10^6 = 4.2 N/mm²
Since the maximum allowable bending stress for M20 grade concrete is 5 N/mm², the beam is safe against bending.
Therefore, the correct statement is that the beam is safe against both shear and bending.
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A simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -M20 grade concrete is used withτc= 0.48Mpaa)Beam is safe in shear; no need of transverse shear reinforcement.b)No need of bent up bar.c)Beam is to be designed for transverse shear reinforcement.d)Section should be revised.Correct answer is option 'A'. Can you explain this answer?
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A simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -M20 grade concrete is used withτc= 0.48Mpaa)Beam is safe in shear; no need of transverse shear reinforcement.b)No need of bent up bar.c)Beam is to be designed for transverse shear reinforcement.d)Section should be revised.Correct answer is option 'A'. 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 simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -M20 grade concrete is used withτc= 0.48Mpaa)Beam is safe in shear; no need of transverse shear reinforcement.b)No need of bent up bar.c)Beam is to be designed for transverse shear reinforcement.d)Section should be revised.Correct answer is option 'A'. 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 simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -M20 grade concrete is used withτc= 0.48Mpaa)Beam is safe in shear; no need of transverse shear reinforcement.b)No need of bent up bar.c)Beam is to be designed for transverse shear reinforcement.d)Section should be revised.Correct answer is option 'A'. Can you explain this answer?.
A simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -M20 grade concrete is used withτc= 0.48Mpaa)Beam is safe in shear; no need of transverse shear reinforcement.b)No need of bent up bar.c)Beam is to be designed for transverse shear reinforcement.d)Section should be revised.Correct answer is option 'A'. 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 simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -M20 grade concrete is used withτc= 0.48Mpaa)Beam is safe in shear; no need of transverse shear reinforcement.b)No need of bent up bar.c)Beam is to be designed for transverse shear reinforcement.d)Section should be revised.Correct answer is option 'A'. 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 simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -M20 grade concrete is used withτc= 0.48Mpaa)Beam is safe in shear; no need of transverse shear reinforcement.b)No need of bent up bar.c)Beam is to be designed for transverse shear reinforcement.d)Section should be revised.Correct answer is option 'A'. Can you explain this answer?.
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A simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -M20 grade concrete is used withτc= 0.48Mpaa)Beam is safe in shear; no need of transverse shear reinforcement.b)No need of bent up bar.c)Beam is to be designed for transverse shear reinforcement.d)Section should be revised.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -M20 grade concrete is used withτc= 0.48Mpaa)Beam is safe in shear; no need of transverse shear reinforcement.b)No need of bent up bar.c)Beam is to be designed for transverse shear reinforcement.d)Section should be revised.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -M20 grade concrete is used withτc= 0.48Mpaa)Beam is safe in shear; no need of transverse shear reinforcement.b)No need of bent up bar.c)Beam is to be designed for transverse shear reinforcement.d)Section should be revised.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A simply supported beam of 300 mm wide and 500 mm deep is loaded as the shear force at support is 140 KN and throughout the beam, the SF does not exceed 70 KN. One out of six bars of 22 mm dia, Fe 415 grade is bent up at 45˚ near the support to resist the shear. Analyze the beam and choose the correct statement: -M20 grade concrete is used withτc= 0.48Mpaa)Beam is safe in shear; no need of transverse shear reinforcement.b)No need of bent up bar.c)Beam is to be designed for transverse shear reinforcement.d)Section should be revised.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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