Problem 1: Calculate the instantaneous and longtime deflection (time limit of 5 years) of a 40ft span simply supported beam (fc = 4 ksi, fy = 60 ksi,) W₁ =3k/ft Wo=7k/ft P₁ =15k PD=10k 40" 7777777 24" 2.5" 3-#9 5-#10 20" 20.5"

Problem 1: Calculate the instantaneous and longtime deflection (time limit of 5 years) of a 40ft span simply supported beam (fc = 4 ksi, fy = 60 ksi,) W₁ =3k/ft Wo=7k/ft P₁ =15k PD=10k 40" 7777777 24" 2.5" 3-#9 5-#10 20" 20.5"

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Problem 1: Calculate the instantaneous and longtime deflection (time limit of 5 years) of
a 40ft span simply supported beam (fc = 4 ksi, fy = 60 ksi,)
W₁ = 3k/ft
Wo=7k/ft
P₁ =15k
PD=10k
40"
24"
2.5"
3-#9
5-#10
20"
20.5"

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Step 1: Introduction of Deflection.

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Step 2: Calculation of steel area and cracking bending moment.

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Step 3: Calculation of actual bending moment

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Step 4: Calculation of cracking moment of inertia.

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Step 5: Calculation of deflections.

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