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Cantilever column, with height 3.0 m. 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. Determine 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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Cantilever column, with height 3.0 m. 500 mm x 250 mm. Two vertical ax...
Introduction
The cantilever column is a type of structural element that is supported at only one end while the other end remains free. In this question, we are given a cantilever column with specific dimensions and loads. We need to determine the column bending reinforcement for two different load combinations.

Given Data
- Height of column = 3.0 m
- Column dimensions = 500 mm x 250 mm
- Permanent load (G) = 600 kN
- Variable load (Q1) = 300 kN office
- Variable load (Q2) = 50 kN wind load
- Concrete strength (fck) = 20 N/mm2
- Steel strength (fyk) = 500 N/mm2
- Concrete cover (d2/d) = 0.10
- Limit State = STR
- Variable actions = unfavourable

Load Combinations
We need to determine the column bending reinforcement for two different load combinations. These combinations are:
- Combination A: Maximum moment and axial load
- Combination B: Maximum axial load and moment

Calculation Process
To determine the column bending reinforcement, we need to follow the below steps:
1. Calculate the maximum moment and axial load for each load combination.
2. Determine the effective height of the column.
3. Calculate the design moment of resistance (Mrd) and the design axial load of resistance (Nrd) using the given concrete and steel strengths.
4. Determine the reinforcement required for each load combination using the design moment of resistance and the design axial load of resistance.
5. Produce a labelled cross-section sketch to show the reinforcement layout.

Results
- Combination A: Maximum moment and axial load
- Maximum moment = 1.5 x (300 + 0.5 x 50) x 3 x 3/8 = 506.25 kNm
- Maximum axial load = 1.5 x 600 + 1.5 x 300 = 1350 kN
- Effective height = 3 x (0.85 - 0.1/2) = 2.775 m
- Mrd = 0.167 x 500 x (500 x 2502)/1000 x (20/1.5) x (1 - 0.4 x 20/500) = 786 kNm
- Nrd = 0.85 x (0.4 x 500 x 250 x 20/1.5 + 500 x 250 x 500/4) = 1491 kN
- Reinforcement required: 6T32 bars
- Combination B: Maximum axial load and moment
- Maximum axial load = 1.5 x (600 + 300) = 1350 kN
- Maximum moment = 1.5 x 50 x 3 x 3/8 = 63.75 kNm
- Effective height = 3 x (0.85 - 0.1/2) = 2.775 m
- Mrd = 0.167 x 500 x (500 x 2502)/1000 x (20/1.5) x (1 - 0.4 x 20/500
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Cantilever column, with height 3.0 m. 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. Determine column bending reinforcement for Combinations A max moment+axial load and B max axial load+moment. Produce labelled cross-section sketch.?
Question Description
Cantilever column, with height 3.0 m. 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. Determine 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 Cantilever column, with height 3.0 m. 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. Determine 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 Cantilever column, with height 3.0 m. 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. Determine 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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