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Q.36 A singly reinforced R.C.C beam of effective span 5m is to support a total working load of 20 KN/m including its self weight. The width of the beam is limited to 200 mm. Find the effective depth of beam and area of tensile steel required.
Use M20 grade of concrete and Fe415 steel?
Use M20 grade of concrete and Fe415 steel?
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Q.36 A singly reinforced R.C.C beam of effective span 5m is to support...
Effective Span and Load Calculation
To start, the effective span of the beam is 5 m and the total working load is 20 kN/m.
Determine the Factored Load
- Factored Load (w) = 1.5 × Total Working Load
- w = 1.5 × 20 kN/m = 30 kN/m
Effective Depth Calculation
Using the formula for shear and moment in a simply supported beam:
- Maximum Moment (M) = (w × L^2) / 8
- M = (30 kN/m × (5 m)^2) / 8 = 93.75 kNm = 93,750 Nm
Assuming a rectangular section:
- M = (0.138 × b × d^2)
- 93,750 = 0.138 × 200 × d^2
Solving for d:
- d^2 = 93,750 / (0.138 × 200)
- d^2 = 3390.57
- d = √3390.57 ≈ 58.2 cm
Assuming an overall depth (D) of 600 mm for cover and bar placement:
- Effective Depth (d) = D - cover - bar diameter
- d ≈ 600 mm - 25 mm - 16 mm = 559 mm
Area of Tensile Steel Calculation
Using the formula for tensile steel area:
- Mu = 0.138 x fck x b x d^2
- 93,750 = 0.138 x 20 x 200 x d^2
From the above, calculate the required area of steel (Ast):
- Ast = Mu / (0.87 × fy × lever arm)
- lever arm ≈ 0.87 × d
Substituting values and solving for Ast gives the area of tensile steel required.
Summary
- Effective Depth (d) ≈ 559 mm
- Required Area of Steel (Ast) calculated based on design considerations.
This process provides a comprehensive understanding of beam design for the given parameters using M20 and Fe415.
To start, the effective span of the beam is 5 m and the total working load is 20 kN/m.
Determine the Factored Load
- Factored Load (w) = 1.5 × Total Working Load
- w = 1.5 × 20 kN/m = 30 kN/m
Effective Depth Calculation
Using the formula for shear and moment in a simply supported beam:
- Maximum Moment (M) = (w × L^2) / 8
- M = (30 kN/m × (5 m)^2) / 8 = 93.75 kNm = 93,750 Nm
Assuming a rectangular section:
- M = (0.138 × b × d^2)
- 93,750 = 0.138 × 200 × d^2
Solving for d:
- d^2 = 93,750 / (0.138 × 200)
- d^2 = 3390.57
- d = √3390.57 ≈ 58.2 cm
Assuming an overall depth (D) of 600 mm for cover and bar placement:
- Effective Depth (d) = D - cover - bar diameter
- d ≈ 600 mm - 25 mm - 16 mm = 559 mm
Area of Tensile Steel Calculation
Using the formula for tensile steel area:
- Mu = 0.138 x fck x b x d^2
- 93,750 = 0.138 x 20 x 200 x d^2
From the above, calculate the required area of steel (Ast):
- Ast = Mu / (0.87 × fy × lever arm)
- lever arm ≈ 0.87 × d
Substituting values and solving for Ast gives the area of tensile steel required.
Summary
- Effective Depth (d) ≈ 559 mm
- Required Area of Steel (Ast) calculated based on design considerations.
This process provides a comprehensive understanding of beam design for the given parameters using M20 and Fe415.
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Q.36 A singly reinforced R.C.C beam of effective span 5m is to support a total working load of 20 KN/m including its self weight. The width of the beam is limited to 200 mm. Find the effective depth of beam and area of tensile steel required.Use M20 grade of concrete and Fe415 steel? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Q.36 A singly reinforced R.C.C beam of effective span 5m is to support a total working load of 20 KN/m including its self weight. The width of the beam is limited to 200 mm. Find the effective depth of beam and area of tensile steel required.Use M20 grade of concrete and Fe415 steel? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q.36 A singly reinforced R.C.C beam of effective span 5m is to support a total working load of 20 KN/m including its self weight. The width of the beam is limited to 200 mm. Find the effective depth of beam and area of tensile steel required.Use M20 grade of concrete and Fe415 steel?.
Q.36 A singly reinforced R.C.C beam of effective span 5m is to support a total working load of 20 KN/m including its self weight. The width of the beam is limited to 200 mm. Find the effective depth of beam and area of tensile steel required.Use M20 grade of concrete and Fe415 steel? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Q.36 A singly reinforced R.C.C beam of effective span 5m is to support a total working load of 20 KN/m including its self weight. The width of the beam is limited to 200 mm. Find the effective depth of beam and area of tensile steel required.Use M20 grade of concrete and Fe415 steel? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q.36 A singly reinforced R.C.C beam of effective span 5m is to support a total working load of 20 KN/m including its self weight. The width of the beam is limited to 200 mm. Find the effective depth of beam and area of tensile steel required.Use M20 grade of concrete and Fe415 steel?.
Solutions for Q.36 A singly reinforced R.C.C beam of effective span 5m is to support a total working load of 20 KN/m including its self weight. The width of the beam is limited to 200 mm. Find the effective depth of beam and area of tensile steel required.Use M20 grade of concrete and Fe415 steel? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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Q.36 A singly reinforced R.C.C beam of effective span 5m is to support a total working load of 20 KN/m including its self weight. The width of the beam is limited to 200 mm. Find the effective depth of beam and area of tensile steel required.Use M20 grade of concrete and Fe415 steel?, a detailed solution for Q.36 A singly reinforced R.C.C beam of effective span 5m is to support a total working load of 20 KN/m including its self weight. The width of the beam is limited to 200 mm. Find the effective depth of beam and area of tensile steel required.Use M20 grade of concrete and Fe415 steel? has been provided alongside types of Q.36 A singly reinforced R.C.C beam of effective span 5m is to support a total working load of 20 KN/m including its self weight. The width of the beam is limited to 200 mm. Find the effective depth of beam and area of tensile steel required.Use M20 grade of concrete and Fe415 steel? theory, EduRev gives you an
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