Deflection Given: the beam cross-section shown have the following cross-sectional properties f'c = 4000 psi n = 8 Find Instantaneous Deflection and long-term deflection ( 4 year life; 30% sustained load).

Deflection Given: the beam cross-section shown have the following cross-sectional properties f'c = 4000 psi n = 8 Find Instantaneous Deflection and long-term deflection ( 4 year life; 30% sustained load).

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

Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

Deflection

Given: the beam cross-section shown have the following cross-sectional properties

f'c = 4000 psi

n = 8

Find Instantaneous Deflection and long-term deflection ( 4 year life; 30% sustained load).

WD = 1.6 k/ft
WL = 1.2 k/ft
30'
771
2 #9
4 #10
ki
16"-
12
18/1/20
3"
24"

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Step 1: Introduce the problem statement

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Step 2: Evaluate basic cross-sectional properties

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Step 3: Locate neutral axis

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Step 4: Compute cracked moment of Inertia

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Step 5: Compute effective moment of Inertia

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Step 6: Determine instantaneous deflection

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Step 7: Compute sustained load deflection

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Step 8: Compute long term deflection

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