Structural Steel Design (6th Edition)
Structural Steel Design (6th Edition)
6th Edition
ISBN: 9780134589657
Author: Jack C. McCormac, Stephen F. Csernak
Publisher: PEARSON
Question
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Chapter 12, Problem 12.1PFS
To determine

The LRFD design tensile strength and the ASD allowable tensile strength for given members.

Expert Solution & Answer
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Answer to Problem 12.1PFS

The LRFD design tensile strength is 219.1k .

The ASD allowable tensile strength is 146.1k .

Explanation of Solution

Given:

  size of plates=1"×16"yield strength of steel,Fy=36ksiultimatetensilestrengthFu=58ksiBoltsize=78in

Formula used:

  Rn=Fnv×Ab×numberofboltswhere,Rnistheshearingstrength of boltsFnvisthenominalstrengthinbearingtypeconnectionAbisthearea of bolts

Given that the A325, 78in a bolt is used.

Calculate the area of the bolt as follows:

  Ab=π4d2=π4782=0.60132in2

From table 12.5, Fnv=54ksi

The shearing strength of the bolt is given by,

  Rn=Fnv×Ab×numberofbolts=54×0.60132×9=292.2k

By LFRD design, the tensile strength is given as,

  Rn'=ϕRn=0.75×292.2=219.1k

Hence, the tensile strength of LFRD is 219.1k

By ASD design, the allowable tensile strength is given by,

  Rn'=RnΩ=292.22=146.1k

Hence, the allowable tensile strength by ASD design is 146.1k

Conclusion:

The tensile strength by LFRD is 219.1k and the allowable tensile strength by ASD design is 146.1k

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