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The roof of the office building considered in Problem 2.8 is subjected to a live load of 20 psf. Determine the live loads acting on the beam EF , the girder AG , and the column A . See Fig. P2.8. 2.8 The roof system of an office building consists of a 4 in. thick reinforced concrete slab resting on four steel beams ( A = 16.2 in. 2 ), which are supported by two steel girders ( A = 42.9 in 2 ). The girders, in turn, are supported by four columns, as shown in Fig. P2.8. Determine the dead loads acting on the girder AG . FIG. P2.8, P2.11

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Structural Analysis

6th Edition
KASSIMALI + 1 other
Publisher: Cengage,
ISBN: 9781337630931

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Section
BuyFindarrow_forward

Structural Analysis

6th Edition
KASSIMALI + 1 other
Publisher: Cengage,
ISBN: 9781337630931
Chapter 2, Problem 11P
Textbook Problem
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The roof of the office building considered in Problem 2.8 is subjected to a live load of 20 psf. Determine the live loads acting on the beam EF, the girder AG, and the column A. See Fig. P2.8.

2.8 The roof system of an office building consists of a 4 in. thick reinforced concrete slab resting on four steel beams (A = 16.2 in.2), which are supported by two steel girders (A = 42.9 in2). The girders, in turn, are supported by four columns, as shown in Fig. P2.8. Determine the dead loads acting on the girder AG.

FIG. P2.8, P2.11

Chapter 2, Problem 11P, The roof of the office building considered in Problem 2.8 is subjected to a live load of 20 psf.

To determine

Find the live loads acting on the girder AG, beam EF, and column A.

Explanation of Solution

Given information:

Consider the office building.

The thickness of the reinforced concrete slab is 4in..

Show the unit conversion of the thickness as follows:

t=4in.×1ft12in.t=412ft

The area of the steel girder is 42.9in.2.

The area of the steel floor is 16.2in.2.

The value of the live load is 20psf.

Calculation:

Show the slab as shown in Figure 1.

Show the tributary area of the beam BF as shown in Figure 2.

Refer Figure 1 and Figure 2.

Calculate the uniformly distributed load (wLL) on beam EF as follows:

wLL=LL×(Widthof the shaded tributary area)=20psf×9ft=180lb/ft

Show the live load acting on the beam EF as shown in Figure 3.

Refer Figure 3.

The reaction at E and F are denoted by Ey and Fy.

The loading on the beam is symmetrical

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