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The rectangular beam shown below carries its own dead load (use b=12 in. and h=24 in.) plus an additional uniform, service dead load of 0.5 kip/ft and a uniform, service live load of 1.5 kip/ft. The dead load acts on the entire beam, of course, but the live load can act on parts of the span. Three possible loading cases are shown below. (a) Draw factored bending-moment diagrams for the three loading cases shown and superimpose them to draw a bending-moment envelope (the borders enclosing the three bending moment diagrams). (b) Design the reinforcing bars. for the maximum positive bending moment between the supports. Assume d = h - 3 in.. (c) design flexural reinforcement for the maximum negative moment over the roller support. (d) Considering the minimum cover thickness and bar spacings as required by AC1318-19, sketch the sections with layout of reinforcing bars for your design in (b) and (c).

The rectangular beam shown below carries its own dead load (use b=12 in. and h=24 in.) plus an additional uniform, service dead load of 0.5 kip/ft and a uniform, service live load of 1.5 kip/ft. The dead load acts on the entire beam, of course, but the live load can act on parts of the span. Three possible loading cases are shown below. (a) Draw factored bending-moment diagrams for the three loading cases shown and superimpose them to draw a bending-moment envelope (the borders enclosing the three bending moment diagrams). (b) Design the reinforcing bars. for the maximum positive bending moment between the supports. Assume d = h - 3 in.. (c) design flexural reinforcement for the maximum negative moment over the roller support. (d) Considering the minimum cover thickness and bar spacings as required by AC1318-19, sketch the sections with layout of reinforcing bars for your design in (b) and (c).

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The rectangular beam shown below carries its own dead load (use b=12 in. and h=24 in.) plus an additional uniform, service dead load of 0.5 kip/ft and a uniform, service live load of 1.5 kip/ft. The dead load acts on the entire beam, of course, but the live load can act on parts of the span. Three possible loading cases are shown below. (a) Draw factored bending-moment diagrams for the three loading cases shown and superimpose them to draw a bending-moment envelope (the borders enclosing the three bending moment diagrams). (b) Design the reinforcing bars. for the maximum positive bending moment between the supports. Assume d = h - 3 in.. (c) design flexural reinforcement for the maximum negative moment over the roller support. (d) Considering the minimum cover thickness and bar spacings as required by AC1318-19, sketch the sections with layout of reinforcing bars for your design in (b) and (c). (a) (b) (c) Service live load = 1.5 kips/ft 24 ft Dead load Live load 9 ft Additional service dead load 0.50 kip/ft Dead load Live load
Transcribed Image Text:The rectangular beam shown below carries its own dead load (use b=12 in. and h=24 in.) plus an additional uniform, service dead load of 0.5 kip/ft and a uniform, service live load of 1.5 kip/ft. The dead load acts on the entire beam, of course, but the live load can act on parts of the span. Three possible loading cases are shown below. (a) Draw factored bending-moment diagrams for the three loading cases shown and superimpose them to draw a bending-moment envelope (the borders enclosing the three bending moment diagrams). (b) Design the reinforcing bars. for the maximum positive bending moment between the supports. Assume d = h - 3 in.. (c) design flexural reinforcement for the maximum negative moment over the roller support. (d) Considering the minimum cover thickness and bar spacings as required by AC1318-19, sketch the sections with layout of reinforcing bars for your design in (b) and (c). (a) (b) (c) Service live load = 1.5 kips/ft 24 ft Dead load Live load 9 ft Additional service dead load 0.50 kip/ft Dead load Live load
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