Structural Steel Design (6th Edition)
Structural Steel Design (6th Edition)
6th Edition
ISBN: 9780134589657
Author: Jack C. McCormac, Stephen F. Csernak
Publisher: PEARSON
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Chapter 13, Problem 13.1PFS
To determine

The resultant load on the most stressed bolt using eccentricity method.

Expert Solution & Answer
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Answer to Problem 13.1PFS

17.39k

Explanation of Solution

Given:

The given connection is,

  Structural Steel Design (6th Edition), Chapter 13, Problem 13.1PFS

Calculation:

Calculate factored load for LRFD.

   Pu=1.2 (50)+1.6 (100)=60+160=220k

Calculate factored load for ASD.

   Pu=50+100=150k

The gross yielding area is calculated as,

  Ag=10×58=12.5in2

The number of bolts required by using LRFD can be calculated as follows.

  n=puR'n

Where, R'n is the design strength.

We can calculate the R'n by using the formula R'n=ϕRn . Where, Rn is the bearing strength of the bolt.

So, we can calculate the bearing strength of the bolt using the formula,

  Rn=1.2ltcfu

Substitute the all value in the above formula and we get that,

  Rn=78.7k

Substitute these values in the design strength formula then we get that,

  R'n=0.75×78.7kR'n=59.06k

Now, calculate the number of bolts required for the connection using LRFD by the formula,

  R=(H2+ ( v+ p u n )2)R=17.39k

Conclusion:

Hence, the resultant force of the bolt is 17.39k.

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