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 MPafy = 276 MPa Ec = 4700 √f’cfr = .70 √f’ca) 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 3A beam 300mm x 600mm has a steel area of 3321mm? at the bottom with steel covering of75mm.Use: fc = 28 MPafy = 276 MPaf, = .70 vfcEs = 200,000 MPaEc = 4700 vfca) Determine the effective moment of inertia of the beam which carries a dead load of10KN/m (including its own weight) and a concentrated live load of 100 KN acting atthe 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 1year.

Design procedure of the beam: Geometrical properties of the beam. Loads on the beam. Calculate the…

Answered: A beam 300mm x 600mm has a steel area…

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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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.

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