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For the apartment building whose floor system was described in Problem 2.5, determine the live loads acting on the beam CD and the girder AE . See Fig. P2.5. 2.5 The floor system of an apartment building consists of a 4 in. thick reinforced concrete slab resting on three steel floor beams, which in turn are supported by two steel girders, as shown in Fig. P2.5. The areas of cross section of the floor beams and the girders are 18.3 in. 2 and 32.7 in. 2 , respectively. Determine the dead loads acting on the beam CD and the girder AE . FIG. P2.5, P2.6, P2.9

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Structural Analysis

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

Solutions

Chapter
Section
BuyFindarrow_forward

Structural Analysis

6th Edition
KASSIMALI + 1 other
Publisher: Cengage,
ISBN: 9781337630931
Chapter 2, Problem 9P
Textbook Problem
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For the apartment building whose floor system was described in Problem 2.5, determine the live loads acting on the beam CD and the girder AE. See Fig. P2.5.

2.5 The floor system of an apartment building consists of a 4 in. thick reinforced concrete slab resting on three steel floor beams, which in turn are supported by two steel girders, as shown in Fig. P2.5. The areas of cross section of the floor beams and the girders are 18.3 in.2 and 32.7 in.2, respectively. Determine the dead loads acting on the beam CD and the girder AE.

Chapter 2, Problem 9P, For the apartment building whose floor system was described in Problem 2.5, determine the live loads

FIG. P2.5, P2.6, P2.9

To determine

Find the live loads acting on the girder AE and beam CD.

Explanation of Solution

Given information:

Consider the apartment building.

The thickness of the reinforced concrete slab is 4in.

The area of cross-section of the steel floor beam is Asteelbeam=18.3in.2.

The area of cross-section of the steel girder is Asteelgirder=32.7in.2.

Calculation:

Show the tributary area of the beam CD as shown in Figure 1.

Refer Table 2.2 “Minimum Floor Live Loads for Buildings” in the text book.

The Tributary area of the beam CD is represented by the shaded region.

The minimum floor live load for the apartment building is LL=40psf.

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

wLL=LL×(Widthof the shaded tributary area)=40psf×12ft=480lb/ft

Show the live load acting on the beam CD as shown in Figure 2.

Refer Figure 2.

The reaction at C and D are denoted by RC and RD.

The loading on the beam is symmetrical. Then

RC=RD=480lb/ft×25ft2RC=RD=6000lb

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

Refer Figure 3.

Thus, the live loading on the beam CD is 480lb/ft_.

Show the floor system of the building as shown in Figure 4

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