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

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

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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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
Transcribed Image Text: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.
Transcribed Image Text: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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