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The beam shown in the figure carries a uniform service dead load of D = 1.25 kip

ID: 1919838 • Letter: T

Question

The beam shown in the figure carries a uniform service dead load of D = 1.25 kip/ft (which already includes the weight of the beam), and a uniform service live load of L = 2.11 kip/ft.  The dead load acts on the entire beam, but the live load can act on parts of the span using the three combinations shown in the figure (a, b, and c).


First draw the factored bending moment and shear diagrams for the three loading cases, and then superimpose them to develop a moment and a shear envelope.  Use the ACI loading factors 1.2Dead+1.6Live.

The beam shown in the figure carries a uniform service dead load of D = 1.25 kip/ft (which already includes the weight of the beam), and a uniform service live load of L = 2.11 kip/ft. The dead load acts on the entire beam, but the live load can act on parts of the span using the three combinations shown in the figure (a, b, and c). First draw the factored bending moment and shear diagrams for the three loading cases, and then superimpose them to develop a moment and a shear envelope. Use the ACI loading factors 1.2Dead+1.6Live.

Explanation / Answer

a) dead load act on entire beam is 3.10 kip/ft


b) live load act on the middle of the beam is 1.2 kip/ft


c) short load on end of road is 1 kip/ft

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