A beam 300mm x 600mm has a steel area of 3321mm2 at the bottom with steel covering of 75mm. Use: f’c = 28 MPa Es = 200,000 MPa fy = 276 MPa Ec = 4700 √f’c fr = .70 √f’c a) Determine the effective moment of inertia of the beam which carries a dead load of 10KN/m (including its own weight) and a concentrated live load of 100 KN acting at the center of the 6 m simple span. b) Determine the instantaneous deflection of the beam. c) Determine the long-term deflection if 20% of the live load will be sustained after 1 year.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A beam 300mm x 600mm has a steel area of 3321mm2 at the bottom with steel covering of
75mm.
Use: f’c = 28 MPa Es = 200,000 MPa
fy = 276 MPa Ec = 4700 √f’c
fr = .70 √f’c
a) Determine the effective moment of inertia of the beam which carries a dead load of
10KN/m (including its own weight) and a concentrated live load of 100 KN acting at
the center of the 6 m simple span.
b) Determine the instantaneous deflection of the beam.
c) Determine the long-term deflection if 20% of the live load will be sustained after 1
year.

Problem 3
A beam 300mm x 600mm has a steel area of 3321mm? at the bottom with steel covering of
75mm.
Use: fc = 28 MPa
fy = 276 MPa
f, = .70 vfc
Es = 200,000 MPa
Ec = 4700 vfc
a) Determine the effective moment of inertia of the beam which carries a dead load of
10KN/m (including its own weight) and a concentrated live load of 100 KN acting at
the center of the 6 m simple span.
b) Determine the instantaneous deflection of the beam.
c) Determine the long-term deflection if 20% of the live load will be sustained after 1
year.
Transcribed Image Text:Problem 3 A beam 300mm x 600mm has a steel area of 3321mm? at the bottom with steel covering of 75mm. Use: fc = 28 MPa fy = 276 MPa f, = .70 vfc Es = 200,000 MPa Ec = 4700 vfc a) Determine the effective moment of inertia of the beam which carries a dead load of 10KN/m (including its own weight) and a concentrated live load of 100 KN acting at the center of the 6 m simple span. b) Determine the instantaneous deflection of the beam. c) Determine the long-term deflection if 20% of the live load will be sustained after 1 year.
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