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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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