Determine the instantaneous and long-term deflection of a 20-ft-span simply supported beam as shown below for the following given conditions: b = 14 in., d = 20.5 in, h = 24 in, As = 8#9 bars, WD = 3.8 k/ft, WL = 2.8 k/ft, PD = 8 kips and PL = 6 kips. The dead loads include the self-weight of the beams. Use n = 8, fe' = 4 ksi, fy = 60 ksi, and a time limit of 5 years. Use the following table to calculate the time dependent factor for sustained loads. Multiplier for long-time deflection Period (months) 5 1 0.5 3 1.0 6 1.2 P PD -20' 0" (6 m) 12 1.4 24 1.7 36 1.8 48 1.9 60 and over 2.0

Structural Analysis
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Chapter2: Loads On Structures
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Determine the instantaneous and long-term deflection of a 20-ft-span simply supported beam as
shown below for the following given conditions: b = 14 in., d = 20.5 in, h = 24 in, As = 8#9 bars,
WD = 3.8 k/ft, WL = 2.8 k/ft, PD = 8 kips and PL = 6 kips. The dead loads include the self-weight
of the beams. Use n=8, fe'= 4 ksi, fy = 60 ksi, and a time limit of 5 years. Use the following table
to calculate the time dependent factor for sustained loads.
Multiplier for long-time deflection
Period
(months)
5
1
0.5
3
1.0
6
1.2
+ PL
Po
-20' 0"
(6 m)
12
1.4
24
1.7
DL
36
1.8
48
1.9
60 and
over
2.0
Transcribed Image Text:Determine the instantaneous and long-term deflection of a 20-ft-span simply supported beam as shown below for the following given conditions: b = 14 in., d = 20.5 in, h = 24 in, As = 8#9 bars, WD = 3.8 k/ft, WL = 2.8 k/ft, PD = 8 kips and PL = 6 kips. The dead loads include the self-weight of the beams. Use n=8, fe'= 4 ksi, fy = 60 ksi, and a time limit of 5 years. Use the following table to calculate the time dependent factor for sustained loads. Multiplier for long-time deflection Period (months) 5 1 0.5 3 1.0 6 1.2 + PL Po -20' 0" (6 m) 12 1.4 24 1.7 DL 36 1.8 48 1.9 60 and over 2.0
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