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A rectangular beam with a width of 360 mm and total depth of 540 mm and reinforced with 4- 22 mm dia. bars with concrete cover to the center of the bar equal to 72.5 mm. It is loaded with a total dead load of 31.2 kN/m and a live load of 20.5 kN/m and has a simple span of 7 m. Use f'c = 30.5 MPa and fy = 411.7 MPa. Answer the following: (1) Compute the moment of inertia of a cracked transformed section, (2) Determine the instantaneous deflection of the beam, (3) Compute the total deflection after 6 months due to 20% sustained live load.

A rectangular beam with a width of 360 mm and total depth of 540 mm and reinforced with 4- 22 mm dia. bars with concrete cover to the center of the bar equal to 72.5 mm. It is loaded with a total dead load of 31.2 kN/m and a live load of 20.5 kN/m and has a simple span of 7 m. Use f'c = 30.5 MPa and fy = 411.7 MPa. Answer the following: (1) Compute the moment of inertia of a cracked transformed section, (2) Determine the instantaneous deflection of the beam, (3) Compute the total deflection after 6 months due to 20% sustained live load.

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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 A rectangular beam with a width of 360 mm and total depth of 540 mm and reinforced with 4- 22 mm dia. bars with concrete cover to the center of the bar equal to 72.5 mm. It is loaded with a total dead load of 31.2 kN/m and a live load of 20.5 kN/m and has a simple span of 7 m. Use f'c = 30.5 MPa and fy = 411.7 MPa. Answer the following: (1) Compute the moment of inertia of a cracked transformed section, (2) Determine the instantaneous deflection of the beam, (3) Compute the total deflection after 6 months due to 20% sustained live load.

3 le = (Mor)³1g + [1 − (Mer)*]Ier - cr Ma Ma T λ = 1 + 50p' 5 yrs. Or more 12 mos. 6 mos. 3 mos. T 2.0 1.4 1.2 1.0
Transcribed Image Text:3 le = (Mor)³1g + [1 − (Mer)*]Ier - cr Ma Ma T λ = 1 + 50p' 5 yrs. Or more 12 mos. 6 mos. 3 mos. T 2.0 1.4 1.2 1.0
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