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).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Step 1: Introduce the problem statement
VIEWStep 2: Compute ultimate loads on the beam
VIEWStep 3: Bending Moment for Case-1
VIEWStep 4: Bending Moment for Case-2
VIEWStep 5: Bending Moment for Case-3
VIEWStep 6: Flexure design for beam in case-1
VIEWStep 7: Flexure design for beam in case-2
VIEWStep 8: Flexure design for beam in case-3
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