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A reinforced concrete (RC) beam with width of 250 mm and effective depth of 400 mm is reinforced with Fe415 steel. As per the provisions of IS 456-2000, the minimum and maximum amount of tensile reinforcement (expressed in mm2) for the section are, respectively
- a)250 and 3500
- b)205 and 4000
- c)270 and 2000
- d)300 and 2500
Correct answer is option 'B'. Can you explain this answer?
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A reinforced concrete (RC) beam with width of 250 mm and effective dep...
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Given:
Width of RC beam (b) = 250 mm
Effective depth (d) = 400 mm
Grade of steel (Fe) = Fe415
Minimum Tensile Reinforcement:
As per IS 456-2000, the minimum tensile reinforcement for an RC beam is given by the formula:
Ast(min) = 0.85 * fctm * (b * d) / fy
Where,
fctm = mean tensile strength of concrete = 0.3 * sqrt(fck)
fck = characteristic compressive strength of concrete
fy = characteristic strength of steel = 415 MPa
Characteristic compressive strength of concrete:
As per IS 456-2000, for grade M20 concrete, the characteristic compressive strength is 20 MPa.
For other grades of concrete, the characteristic strength can be determined using the formula:
fck = fck-c + 1.65 * sd
Where,
fck-c = cylinder strength of concrete
sd = standard deviation
For M20 grade concrete:
fck-c = fck * 0.9 = 20 * 0.9 = 18 MPa
sd = 3.5 MPa
Using the formula for characteristic compressive strength, we can calculate fck:
fck = 18 + 1.65 * 3.5 = 24.775 MPa
Mean tensile strength of concrete:
fctm = 0.3 * sqrt(fck) = 0.3 * sqrt(24.775) = 1.953 MPa
Minimum tensile reinforcement:
Ast(min) = 0.85 * fctm * (b * d) / fy
= 0.85 * 1.953 * (250 * 400) / 415
= 1994.76 mm2
Therefore, the minimum amount of tensile reinforcement for the given section is approximately 1994.76 mm2.
Maximum Tensile Reinforcement:
As per IS 456-2000, the maximum tensile reinforcement for an RC beam is given by the formula:
Ast(max) = 0.04 * (b * d)
Ast(max) = 0.04 * (250 * 400)
= 4000 mm2
Therefore, the maximum amount of tensile reinforcement for the given section is 4000 mm2.
Hence, the correct answer is option 'B' - 205 and 4000.
Width of RC beam (b) = 250 mm
Effective depth (d) = 400 mm
Grade of steel (Fe) = Fe415
Minimum Tensile Reinforcement:
As per IS 456-2000, the minimum tensile reinforcement for an RC beam is given by the formula:
Ast(min) = 0.85 * fctm * (b * d) / fy
Where,
fctm = mean tensile strength of concrete = 0.3 * sqrt(fck)
fck = characteristic compressive strength of concrete
fy = characteristic strength of steel = 415 MPa
Characteristic compressive strength of concrete:
As per IS 456-2000, for grade M20 concrete, the characteristic compressive strength is 20 MPa.
For other grades of concrete, the characteristic strength can be determined using the formula:
fck = fck-c + 1.65 * sd
Where,
fck-c = cylinder strength of concrete
sd = standard deviation
For M20 grade concrete:
fck-c = fck * 0.9 = 20 * 0.9 = 18 MPa
sd = 3.5 MPa
Using the formula for characteristic compressive strength, we can calculate fck:
fck = 18 + 1.65 * 3.5 = 24.775 MPa
Mean tensile strength of concrete:
fctm = 0.3 * sqrt(fck) = 0.3 * sqrt(24.775) = 1.953 MPa
Minimum tensile reinforcement:
Ast(min) = 0.85 * fctm * (b * d) / fy
= 0.85 * 1.953 * (250 * 400) / 415
= 1994.76 mm2
Therefore, the minimum amount of tensile reinforcement for the given section is approximately 1994.76 mm2.
Maximum Tensile Reinforcement:
As per IS 456-2000, the maximum tensile reinforcement for an RC beam is given by the formula:
Ast(max) = 0.04 * (b * d)
Ast(max) = 0.04 * (250 * 400)
= 4000 mm2
Therefore, the maximum amount of tensile reinforcement for the given section is 4000 mm2.
Hence, the correct answer is option 'B' - 205 and 4000.
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A reinforced concrete (RC) beam with width of 250 mm and effective depth of 400 mm is reinforced with Fe415 steel. As per the provisions of IS 456-2000, the minimum and maximum amount of tensile reinforcement (expressed in mm2) for the section are, respectivelya)250 and 3500b)205 and 4000c)270 and 2000d)300 and 2500Correct answer is option 'B'. Can you explain this answer?
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A reinforced concrete (RC) beam with width of 250 mm and effective depth of 400 mm is reinforced with Fe415 steel. As per the provisions of IS 456-2000, the minimum and maximum amount of tensile reinforcement (expressed in mm2) for the section are, respectivelya)250 and 3500b)205 and 4000c)270 and 2000d)300 and 2500Correct answer is option 'B'. 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 reinforced concrete (RC) beam with width of 250 mm and effective depth of 400 mm is reinforced with Fe415 steel. As per the provisions of IS 456-2000, the minimum and maximum amount of tensile reinforcement (expressed in mm2) for the section are, respectivelya)250 and 3500b)205 and 4000c)270 and 2000d)300 and 2500Correct answer is option 'B'. 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 reinforced concrete (RC) beam with width of 250 mm and effective depth of 400 mm is reinforced with Fe415 steel. As per the provisions of IS 456-2000, the minimum and maximum amount of tensile reinforcement (expressed in mm2) for the section are, respectivelya)250 and 3500b)205 and 4000c)270 and 2000d)300 and 2500Correct answer is option 'B'. Can you explain this answer?.
A reinforced concrete (RC) beam with width of 250 mm and effective depth of 400 mm is reinforced with Fe415 steel. As per the provisions of IS 456-2000, the minimum and maximum amount of tensile reinforcement (expressed in mm2) for the section are, respectivelya)250 and 3500b)205 and 4000c)270 and 2000d)300 and 2500Correct answer is option 'B'. 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 reinforced concrete (RC) beam with width of 250 mm and effective depth of 400 mm is reinforced with Fe415 steel. As per the provisions of IS 456-2000, the minimum and maximum amount of tensile reinforcement (expressed in mm2) for the section are, respectivelya)250 and 3500b)205 and 4000c)270 and 2000d)300 and 2500Correct answer is option 'B'. 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 reinforced concrete (RC) beam with width of 250 mm and effective depth of 400 mm is reinforced with Fe415 steel. As per the provisions of IS 456-2000, the minimum and maximum amount of tensile reinforcement (expressed in mm2) for the section are, respectivelya)250 and 3500b)205 and 4000c)270 and 2000d)300 and 2500Correct answer is option 'B'. Can you explain this answer?.
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