Questions: Where it get the 2 and 0 here, the green circle. please explain how it get it b. Long term deflectionSince only 30% of the live load is sustainedW₁ = 9+0.3(12)=12.6kN/mTS' =§1+50pLong term deflection25W, LªT384 Ele-5(12.6) (6000)4384 (20000 )3322.1(10)"21+50(0)28₁ = 8 + 28'L=: 3.20 mm8₁ = 8 + 28 ' = 5.33 +2(3.20) = 11.73 mmL A concrete beam 6 m long is 300 mm wide and 600 mm deep andcarries a dead load of 9 kN/m and live load of 12 kN/m. The beamis reinforced for tension only with four 25 mm bars with an effectivedepth to tension bars of 530 mm. fc' = 20.7 MPa, fy = 345 MPa,fr = 2.832 MPa, Ec = 20,000 MPa, Es = 200,000 MPa.Covering of bars is 70 mm.a) Calculate the maximum instantaneous deflection due to dead loadand live load.b) Calculate the deflection due to the same loads after five yearsassuming that 30% of the live load is sustained.

Consider the following formula.Here, is a factor that depends upon the time, and is the…

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Engineering

Civil Engineering

Where it get the 2 and 0 here, the green circle

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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Questions: Where it get the 2 and 0 here, the green circle. please explain how it get it

b. Long term deflection
Since only 30% of the live load is sustained
W₁ = 9+0.3(12)=12.6kN/m
T
S' =
§
1+50p
Long term deflection
2
5W, Lª
T
384 Ele
-
5(12.6) (6000)4
384 (20000 )3322.1(10)"
2
1+50(0)
2
8₁ = 8 + 28'
L
=
: 3.20 mm
8₁ = 8 + 28 ' = 5.33 +2(3.20) = 11.73 mm
L

A concrete beam 6 m long is 300 mm wide and 600 mm deep and
carries a dead load of 9 kN/m and live load of 12 kN/m. The beam
is reinforced for tension only with four 25 mm bars with an effective
depth to tension bars of 530 mm. fc' = 20.7 MPa, fy = 345 MPa,
fr = 2.832 MPa, Ec = 20,000 MPa, Es = 200,000 MPa.
Covering of bars is 70 mm.
a) Calculate the maximum instantaneous deflection due to dead load
and live load.
b) Calculate the deflection due to the same loads after five years
assuming that 30% of the live load is sustained.

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