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A reinforced concrete floor of a building comprises parallel reinforced concrete beams supporting, and cast integrally with, a reinforced concrete slab, as shown in the diagram below. Dimensions are given in separate tables provided along with the assignment brief. The beams are supported by brickwork walls. The slab acts as part of the beams, such that each beam may be regarded to be T-shaped, comprising a width of slab extending half-way to the adjacent beam. The concrete unit weight may be taken as 24.5 kN/m3 and the design-imposed loading (i.e., live loading) on the floor is also tabulated in the given table.

A reinforced concrete floor of a building comprises parallel reinforced concrete beams supporting, and cast integrally with, a reinforced concrete slab, as shown in the diagram below. Dimensions are given in separate tables provided along with the assignment brief. The beams are supported by brickwork walls. The slab acts as part of the beams, such that each beam may be regarded to be T-shaped, comprising a width of slab extending half-way to the adjacent beam. The concrete unit weight may be taken as 24.5 kN/m3 and the design-imposed loading (i.e., live loading) on the floor is also tabulated in the given table.

Fundamentals Of Construction Estimating
Fundamentals Of Construction Estimating
4th Edition
ISBN:9781337399395
Author:Pratt, David J.
Publisher:Pratt, David J.
Chapter5: Measuring Concrete Work
Section: Chapter Questions
Problem 6RQ
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A reinforced concrete floor of a building comprises parallel reinforced concrete beams supporting, and cast integrally with, a reinforced concrete slab, as shown in the diagram below. Dimensions are given in separate tables provided along with the assignment brief. The beams are supported by brickwork walls. The slab acts as part of the beams, such that each beam may be regarded to be T-shaped, comprising a width of slab extending half-way to the adjacent beam. The concrete unit weight may be taken as 24.5 kN/m3 and the design-imposed loading (i.e., live loading) on the floor is also tabulated in the given table. 400 S (typ.) SECTEON A-A L(m) D (mm) Ds (mm) 700 120 S(m) 4 L (kPa) 3 a) analyse one of these beams to determine the following maximum design ultimate bending moments due to dead load + live load: i) Maximum sag in the end spans; ii) Maximum sag in the penultimate (i.e. second from the end) spans; iii) Maximum hog over the penultimate supports; iv) Maximum hog over the central support. In each case, show all loading calculations, draw the loading diagram and the full B.M.D. for the beam, labelling the values of the hogging bending moments over each support and the maximum sagging bending moments in each span. b) Clearly state the following: i) The span in which the maximum sagging bending moment occurs; and ii) The support over which the maximum hogging bending moment occurs.
Transcribed Image Text:A reinforced concrete floor of a building comprises parallel reinforced concrete beams supporting, and cast integrally with, a reinforced concrete slab, as shown in the diagram below. Dimensions are given in separate tables provided along with the assignment brief. The beams are supported by brickwork walls. The slab acts as part of the beams, such that each beam may be regarded to be T-shaped, comprising a width of slab extending half-way to the adjacent beam. The concrete unit weight may be taken as 24.5 kN/m3 and the design-imposed loading (i.e., live loading) on the floor is also tabulated in the given table. 400 S (typ.) SECTEON A-A L(m) D (mm) Ds (mm) 700 120 S(m) 4 L (kPa) 3 a) analyse one of these beams to determine the following maximum design ultimate bending moments due to dead load + live load: i) Maximum sag in the end spans; ii) Maximum sag in the penultimate (i.e. second from the end) spans; iii) Maximum hog over the penultimate supports; iv) Maximum hog over the central support. In each case, show all loading calculations, draw the loading diagram and the full B.M.D. for the beam, labelling the values of the hogging bending moments over each support and the maximum sagging bending moments in each span. b) Clearly state the following: i) The span in which the maximum sagging bending moment occurs; and ii) The support over which the maximum hogging bending moment occurs.
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