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A floor slab of thickness t is cast monolithically transverse to a rectangular continuous beam of span L and width B. If the distance between two consecutive points of contra flexure is, L0, the effective width of compression flange at continuous support is
- a)B
- b)L/3
- c)B + 12 t
- d)bw + 6df + L0/6
Correct answer is option 'D'. Can you explain this answer?
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**Given:**
- Thickness of floor slab, t
- Span of rectangular continuous beam, L
- Width of rectangular continuous beam, B
- Distance between two consecutive points of contraflexure, L0
**To find:**
The effective width of compression flange at continuous support
**Solution:**
The effective width of the compression flange at continuous support can be determined using the concept of the plastic moment capacity of the beam. The plastic moment capacity of a beam is given by the product of the plastic section modulus and the yield strength of the material.
The plastic section modulus of a rectangular beam can be calculated as:
Z = (B x t^2) / 6
The plastic moment capacity of the beam is given by:
Mp = Z x Fy
where Fy is the yield strength of the material.
To calculate the effective width of the compression flange at continuous support, we need to find the distance between two consecutive points of contraflexure, L0.
The distance between two consecutive points of contraflexure, L0, is given by:
L0 = (bw^2) / (6 x df)
where bw is the effective width of the compression flange and df is the depth of the beam.
Rearranging the equation, we get:
bw = (6 x df x L0) / bw^2
Substituting the values of L0, df, and bw, we get:
bw = (6 x t x L) / (6 x t) = L
Therefore, the effective width of the compression flange at continuous support is L, which is given by option D.
- Thickness of floor slab, t
- Span of rectangular continuous beam, L
- Width of rectangular continuous beam, B
- Distance between two consecutive points of contraflexure, L0
**To find:**
The effective width of compression flange at continuous support
**Solution:**
The effective width of the compression flange at continuous support can be determined using the concept of the plastic moment capacity of the beam. The plastic moment capacity of a beam is given by the product of the plastic section modulus and the yield strength of the material.
The plastic section modulus of a rectangular beam can be calculated as:
Z = (B x t^2) / 6
The plastic moment capacity of the beam is given by:
Mp = Z x Fy
where Fy is the yield strength of the material.
To calculate the effective width of the compression flange at continuous support, we need to find the distance between two consecutive points of contraflexure, L0.
The distance between two consecutive points of contraflexure, L0, is given by:
L0 = (bw^2) / (6 x df)
where bw is the effective width of the compression flange and df is the depth of the beam.
Rearranging the equation, we get:
bw = (6 x df x L0) / bw^2
Substituting the values of L0, df, and bw, we get:
bw = (6 x t x L) / (6 x t) = L
Therefore, the effective width of the compression flange at continuous support is L, which is given by option D.
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A floor slab of thickness t is cast monolithically transverse to a rectangular continuous beam of spanL and widthB. If the distance between two consecutive points of contra flexure is, L0, the effective width of compression flange at continuous support isa)Bb)L/3c)B + 12 td)bw+ 6df+ L0/6Correct answer is option 'D'. Can you explain this answer?
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A floor slab of thickness t is cast monolithically transverse to a rectangular continuous beam of spanL and widthB. If the distance between two consecutive points of contra flexure is, L0, the effective width of compression flange at continuous support isa)Bb)L/3c)B + 12 td)bw+ 6df+ L0/6Correct answer is option 'D'. 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 floor slab of thickness t is cast monolithically transverse to a rectangular continuous beam of spanL and widthB. If the distance between two consecutive points of contra flexure is, L0, the effective width of compression flange at continuous support isa)Bb)L/3c)B + 12 td)bw+ 6df+ L0/6Correct answer is option 'D'. 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 floor slab of thickness t is cast monolithically transverse to a rectangular continuous beam of spanL and widthB. If the distance between two consecutive points of contra flexure is, L0, the effective width of compression flange at continuous support isa)Bb)L/3c)B + 12 td)bw+ 6df+ L0/6Correct answer is option 'D'. Can you explain this answer?.
A floor slab of thickness t is cast monolithically transverse to a rectangular continuous beam of spanL and widthB. If the distance between two consecutive points of contra flexure is, L0, the effective width of compression flange at continuous support isa)Bb)L/3c)B + 12 td)bw+ 6df+ L0/6Correct answer is option 'D'. 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 floor slab of thickness t is cast monolithically transverse to a rectangular continuous beam of spanL and widthB. If the distance between two consecutive points of contra flexure is, L0, the effective width of compression flange at continuous support isa)Bb)L/3c)B + 12 td)bw+ 6df+ L0/6Correct answer is option 'D'. 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 floor slab of thickness t is cast monolithically transverse to a rectangular continuous beam of spanL and widthB. If the distance between two consecutive points of contra flexure is, L0, the effective width of compression flange at continuous support isa)Bb)L/3c)B + 12 td)bw+ 6df+ L0/6Correct answer is option 'D'. Can you explain this answer?.
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