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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 load 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 are to be neglected d2/d = 0.10. Determine the two load combinations to test column STR limit state (Combination A: maximum moment + axial load; Combination B: maximum axial load + moment). Assume variable actions unfavourable.?
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Cantilever column, with height 3.0 m. 500 mm x 250 mm. Two vertical ax...
Load Analysis of Cantilever Column


Given Data


  • Height of the column = 3.0 m

  • Column dimension = 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

  • Modulus of Elasticity (E) = 200 kN/mm2

  • Second-order effects and buckling are neglected

  • d2/d = 0.10



Load Combinations to Test Column STR Limit State


Combination A: Maximum Moment Axial Load


  • 1.35G + 1.5Q1 + 1.5Q2

  • Maximum Moment = 1.5 x 300 x 3.0 x 3.0 / 8 = 843.75 kNm

  • Maximum Axial Load = 1.35 x 600 + 1.5 x 300 + 1.5 x 50 = 1245 kN



Combination B: Maximum Axial Load Moment


  • 1.35G + 1.5Q1 + 1.5Q2

  • Maximum Axial Load = 1.5 x 300 + 1.35 x 600 + 1.5 x 50 = 1215 kN

  • Maximum Moment = 1.5 x 1215 x 3.0 x 3.0 / 8 = 680.63 kNm



Explanation


  • The cantilever column is subjected to two vertical axial loads (permanent load G and variable load Q1) and one horizontal load (variable load Q2).

  • Two load combinations are to be tested to determine the column strength limit state.

  • Combination A is the maximum moment axial load and Combination B is the maximum axial load moment.

  • The load combinations are calculated using the given loads and safety factors.

  • The maximum axial load and moment for each combination are also calculated.

  • The calculated maximum axial load and moment are used to test the column strength limit state.

  • Second-order effects and buckling are neglected as given in the problem statement.

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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 load 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 are to be neglected d2/d = 0.10. Determine the two load combinations to test column STR limit state (Combination A: maximum moment + axial load; Combination B: maximum axial load + moment). Assume variable actions unfavourable.?
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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 load 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 are to be neglected d2/d = 0.10. Determine the two load combinations to test column STR limit state (Combination A: maximum moment + axial load; Combination B: maximum axial load + moment). Assume variable actions unfavourable.? 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 load 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 are to be neglected d2/d = 0.10. Determine the two load combinations to test column STR limit state (Combination A: maximum moment + axial load; Combination B: maximum axial load + moment). Assume variable actions unfavourable.? 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 load 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 are to be neglected d2/d = 0.10. Determine the two load combinations to test column STR limit state (Combination A: maximum moment + axial load; Combination B: maximum axial load + moment). Assume variable actions unfavourable.?.
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