2. A simply supported beam (Span =25 ft) has a section as shown below with concrete compressive strength f=4000 psi (normal weight), and flexural reinforcement strength f=60,000 psi. The unfactored dead load is 1.5 kips/ft including its self-weight and the unfactored live load is 2.0 kips/ft. 16" 21" 24" 6 No. 8 bars

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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2. A simply supported beam (Span /=25 ft) has a section as shown below with concrete compressive
strength f=4000 psi (normal weight), and flexural reinforcement strength f,=60,000 psi. The unfactored
dead load is 1.5 kips/ft including its self-weight and the unfactored live load is 2.0 kips/ft.
16*
21"
24"
6 No. 8 bars
wift
Mpost2
Amid
384
El
48
ET
Figure P4
a) Determine the moment of inertia of cracked section lr
b) Determine the effective moment of inertia le for the beam
c) Calculate the immediate and long-term deflections at the midspan of the beam, assuming 40% of the
live contribute to the long-term deflection
Transcribed Image Text:2. A simply supported beam (Span /=25 ft) has a section as shown below with concrete compressive strength f=4000 psi (normal weight), and flexural reinforcement strength f,=60,000 psi. The unfactored dead load is 1.5 kips/ft including its self-weight and the unfactored live load is 2.0 kips/ft. 16* 21" 24" 6 No. 8 bars wift Mpost2 Amid 384 El 48 ET Figure P4 a) Determine the moment of inertia of cracked section lr b) Determine the effective moment of inertia le for the beam c) Calculate the immediate and long-term deflections at the midspan of the beam, assuming 40% of the live contribute to the long-term deflection
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