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Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.?
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Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vert...
Calculation of Bending Reinforcement in a Cantilever Column
Given Data
- Height of cantilever column = 3.0 m
- Plan view = 500 mm x 250 mm
- Permanent load G = 600 kN
- Variable load Q1 = 300 kN office
- Variable load Q2 = 50 kN wind load
- fck = 20 N/mm2
- fyk = 500 N/mm2
- d2/d = 0.10
- Second-order effects and buckling neglected
- STR Limit State
- Variable actions unfavourable
Determination of Maximum Bending Moment and Axial Load
To determine the maximum bending moment and axial load, we need to calculate the load combination for Combinations A and B.
Combination A
- 1.35G + 1.5Q1 + 1.5Q2
Combination B
- 1.05G + 1.5Q1 + 1.5Q2
Determination of Maximum Bending Moment
- The maximum bending moment occurs at the fixed end of the cantilever column.
- Mmax = Pmax * L
- Combination A: Mmax = (1.35G + 1.5Q1 + 1.5Q2) * 3.0 = 2,835 kNm
- Combination B: Mmax = (1.05G + 1.5Q1 + 1.5Q2) * 3.0 = 2,205 kNm
Determination of Maximum Axial Load
- The maximum axial load occurs at the fixed end of the cantilever column.
- Nmax = Pmax
- Combination A: Nmax = 1.35G + 1.5Q1 + 1.5Q2 = 1,350 kN
- Combination B: Nmax = 1.05G + 1.5Q1 + 1.5Q2 = 1,050 kN
Design of Reinforcement
- As per the given data, d2/d = 0.10
- From the plan view, the size of the column is 500 mm x 250 mm.
- The effective depth of the column can be taken as d = 3.0 - (25 + 10) = 2.65 m.
- The area of steel required can be calculated using the formula:
- Ast = (M * 10^6) / (0.87 * fyk * d^2)
- For Combination A: Ast = (2,835 * 10^6) / (0.87 * 500 * 2.65^2) = 1,215 mm2
- For Combination B: Ast = (2,205 * 10^6) / (0.87 * 500 * 2.65^2) = 943 mm2
- The minimum area of steel required for a rectangular column is 0.8% of the gross area of the column.
- Agross = 0.5 * 0.25 * 1000 * 3.0 = 375,000 mm
Given Data
- Height of cantilever column = 3.0 m
- Plan view = 500 mm x 250 mm
- Permanent load G = 600 kN
- Variable load Q1 = 300 kN office
- Variable load Q2 = 50 kN wind load
- fck = 20 N/mm2
- fyk = 500 N/mm2
- d2/d = 0.10
- Second-order effects and buckling neglected
- STR Limit State
- Variable actions unfavourable
Determination of Maximum Bending Moment and Axial Load
To determine the maximum bending moment and axial load, we need to calculate the load combination for Combinations A and B.
Combination A
- 1.35G + 1.5Q1 + 1.5Q2
Combination B
- 1.05G + 1.5Q1 + 1.5Q2
Determination of Maximum Bending Moment
- The maximum bending moment occurs at the fixed end of the cantilever column.
- Mmax = Pmax * L
- Combination A: Mmax = (1.35G + 1.5Q1 + 1.5Q2) * 3.0 = 2,835 kNm
- Combination B: Mmax = (1.05G + 1.5Q1 + 1.5Q2) * 3.0 = 2,205 kNm
Determination of Maximum Axial Load
- The maximum axial load occurs at the fixed end of the cantilever column.
- Nmax = Pmax
- Combination A: Nmax = 1.35G + 1.5Q1 + 1.5Q2 = 1,350 kN
- Combination B: Nmax = 1.05G + 1.5Q1 + 1.5Q2 = 1,050 kN
Design of Reinforcement
- As per the given data, d2/d = 0.10
- From the plan view, the size of the column is 500 mm x 250 mm.
- The effective depth of the column can be taken as d = 3.0 - (25 + 10) = 2.65 m.
- The area of steel required can be calculated using the formula:
- Ast = (M * 10^6) / (0.87 * fyk * d^2)
- For Combination A: Ast = (2,835 * 10^6) / (0.87 * 500 * 2.65^2) = 1,215 mm2
- For Combination B: Ast = (2,205 * 10^6) / (0.87 * 500 * 2.65^2) = 943 mm2
- The minimum area of steel required for a rectangular column is 0.8% of the gross area of the column.
- Agross = 0.5 * 0.25 * 1000 * 3.0 = 375,000 mm
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Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.?
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Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.? 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 Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.?.
Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.? 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 Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.?.
Solutions for Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.?, a detailed solution for Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.? has been provided alongside types of Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.? theory, EduRev gives you an
ample number of questions to practice Height of Cantilever column 3.0 m. Plan view 500 mm x 250 mm. Two vertical axial loads, G and Q1, and one horizontal Q2. Permanent load G: 600 kN, variable Q1: 300 kN office. Variable load Q2: 50 kN wind load. fck = 20 N/mm2 and fyk=500 N/mm2. Second-order effects and buckling neglected. d2/d = 0.10. STR Limit State. Variable actions unfavourable. Calculate column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.? tests, examples and also practice Civil Engineering (CE) tests.
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