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 2, Problem 2.1PFS
To determine

To find: maximum combined load for LRFD for a given loading D=80psf, L=100psf, R=14psf, Lr=20psf and S=28psf.

Expert Solution & Answer
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Answer to Problem 2.1PFS

270psf .

Explanation of Solution

Given data:

D=80psfL=100psfR=14psfLr=20psfS=28psf

Calculation:

Consider the dead load:

For the maximum combined load:

Load=1.4D

Substitute the value of D as 80 psf (as given in problem) in the formula

Load=1.4D=1.4(80)=112psf

Now, consider dead load, live load and snow load:

For the maximum combined load:

Load=1.2D+1.6L+0.5S

Substitute the values of D as 80 psf, L as 100 psf and S as 28 psf in formula

Load=1.2D+1.6L+0.5S=1.2(80)+1.6(100)+0.5(28)=270psf

Now consider dead load, snow load and live load:

For the maximum combined load:

Load=1.2D+1.6S+0.5L

Substitute the values of D as 80 psf, S as 28 psf and L as 100 psf in formula

Load=1.2D+1.6L+0.5S=1.2(80)+1.6(28)+0.5(100)=190.8psf

Now consider dead load, wind load, live load and snow load:

For the maximum combined load:

Load=1.2D+1.0W+0.5L+0.5S

Substitute the values of D as 80 psf, W as 0 psf, L as 100 psf and S as 28 psf in formula

Load=1.2D+1.0W+0.5L+0.5S=1.2(80)+1.0(0)+0.5(100)+0.5(28)=160psf

Now consider dead load and wind load:

For the maximum combined load:

Load=0.9D+1.0W

Substitute the values of D as 80 psf, W as 0 psf in formula

Load=0.9D+1.0W=0.9(80)+1.0(0)=72psf

Now consider dead load, earthquake load, live load and snow load:

For the maximum combined load:

Load=1.2D+1.0E+0.5L+0.2S

Substitute the values of D as 80 psf ,E as 0 psf ,L as 100 psf and S as 28 psf in formula

Load=1.2D+1.0E+0.5L+0.2S=1.2(80)+1.0(0)+0.5(100)+0.2(28)=151.6psf

Now consider dead load and earthquake load:

For the maximum combined load:

Load=0.9D+1.0E

Substitute the values of D as 80 psf and E as 0 psf in formula

Load=0.9D+1.0E=0.9(80)+1.0(0)=72psf

Now look for the maximum value in all load combinations calculated earlier.

Conclusion:

The maximum load combination is dead load, live load and snow load with magnitude 270psf.

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