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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 2, Problem 6P

Textbook Problem

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Solve Problem 2.5 if a 6 in. thick brick wall, which is 7 ft high and 25 ft long, hears directly on the top of beam *CD.* 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

To determine

Find the dead loads acting on the girder *AE* and beam *CD*.

**Given information:**

The thickness of the reinforced concrete slab is

The area of cross-section of the steel floor beam is

The area of cross-section of the steel girder is

The length, height, and thickness of the brick wall are

**Calculation:**

Show the floor systemof the building as shown in Figure 1.

Refer Figure 1.

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

Tributary area of the beam *CD*:

The width of the tributary area of the beam *CD* is

The width of the tributary area of the beam *CD* is same as the length of the beam *CD*. Then,

The length of the tributary area of the beam *CD* is

The thickness of the concrete slab is

Refer Table 2.1 “Unit Weights of Construction Materials” in the text book.

The unit weight of the reinforced concrete is

The unit weight of the structural steel is

The unit weight of the brick wall is

Calculate the dead load per unit length of the beam *CD* as follows:

**Concrete Slab:**

Calculate the dead load of the concrete slab using the relation:

Substitute

**Steel beam:**

Calculate the dead load of the steel beam using the relation:

Substitute

Calculate the dead load of the brick wall using the relation:

Calculate the dead load of the beam *CD* as follows:

The dead load of *CD*.

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

Refer Figure 2.

The reaction at *C* and *D* are denoted by

The dead load on the beam is symmetrical. Then,

Show the dead load acting on the beam as shown in Figure 3

Structural Analysis

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