3.1 For the beams shown in the following table, calculate bending moment capacity, Mu, using both analytical andapproximate equations and determine the percentage of error because of using the approximate equation.a) Analytical equation: Mub) Approximate equation: MuDimension andmaterial propertiesb= 12"d= 18"As= 2.37 in²f'c = 5 ksi|fy== 60 ksib= 18"d= 18"A,= 3.16 in²f'c = 4 ksi|fy == 60 ksib= 24"d=33"As= 7.8 in²f'c = 6 ksify = 60 ksib= 22"d=43"As= 12.48 in²f'c = 5 ksi|fy = 60 ksib= 16"d=24"A,= 3.16 in²f'c = 4 ksify = 40 ksi=Ø.As. fy. d (1-0.59 455) where = 0.9As.fyfc.b.d4A dlimitations for this approximation:1. cross-section: rectangular2. steel yield: fy = 60ksi3. units: As & d: inches, Mu: k-ftFlexural strength, MuAnalytical ApproximateequationequationPercenterrorShearreinforcementstirrupsTensionreinforcementAsBeam Sectiona

to find flexural strength and percentage error

For the beams shown in the following table, calculate bending moment capacity, Mu, using both analytical and approximate equations and determine the percentage of error because of using the approximate equation. a) Analytical equation: Mu Dimension and = b) Approximate equation: Mu = As-fy Ø.As. fy.d (1-0.59 455) fc.b.d 4Açd where = 0.9 limitations for this approximation: 1. cross-section: rectangular 2. steel yield: fy = 60ksi 3. units: As & d: inches, Mu: k-ft Flexural strength, Mu

For the beams shown in the following table, calculate bending moment capacity, Mu, using both analytical and approximate equations and determine the percentage of error because of using the approximate equation. a) Analytical equation: Mu Dimension and = b) Approximate equation: Mu = As-fy Ø.As. fy.d (1-0.59 455) fc.b.d 4Açd where = 0.9 limitations for this approximation: 1. cross-section: rectangular 2. steel yield: fy = 60ksi 3. units: As & d: inches, Mu: k-ft Flexural strength, Mu

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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