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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 2, Problem 1P

Textbook Problem

The roof of a single-story storage building, shown in Fig. P2.1, is subjected to a uniformly distributed load of 0.96 kPa over its surface area. Determine the loads acting on the floor beam *BE* and the girder *AC* of the framing system.

FIG. P2.1, P2.2

Expert Solution

To determine

Calculate the loads that is acting on the floor beam *BE* and girder *AC*.

The uniformly distributed load acting on the floor beam *BE* is

The load acting at *A*, *B*, and *C* on the girder *AC* are

**Given information:**

The building is a single-story building.

The building is subjected to uniformly distributed load of

**Calculation:**

Show the roof of the single-story storage building as shown in Figure 1.

Refer Figure 1.

The columns are denoted by *A*, *C*, *D*, and *F*.

The floor beam is denoted by *BE*.

The girders are denoted by *AC* and *DF*.

Show the tributary area of the floor beam *BE* as shown in Figure 2.

Refer Figure 2.

The tributary area of the floor beam *BE* is denoted by the shaded area.

Calculate the tributary area of the floor beam *BE*

The length of the floor beam *BE* is

Calculate the uniformly distributed load *BE* as follows:

Substitute

Show the uniformly distributed load acting on the floor beam *BE* as shown in Figure 3.

Refer Figure 3.

The reactions at *B* and *E* are denoted by

The loading on the floor beam *BE* is symmetrical.

Calculate the value of

Show the uniformly distributed load acting on the floor beam *BE* as shown in Figure 4.

Refer Figure 4.

Thus, the uniformly distributed load acting on the floor beam *BE* is

Show the tributary area of the girder *AC* as shown in Figure 5.

Refer Figure 5.

The tributary area of the girder *AC* is denoted by the shaded area.

Calculate the tributary area of the girder *AC*

Calculate the load *AC* as follows:

Substitute

The total load acting on the tributary area of the girder *AC* is

Almost half the load acts at the junction of the floor beam *BE* and the girder *AC*. Then,

The load acting at *B* is

The remaining half of the load acts equally on the column *A* and *C*. Then,

The load acting at *A* is *C* is

Show the load acting on the girder *AC* as shown in Figure 6.

Refer Figure 6.

The reactions at *A* and *C* are denoted by

The loading on the girder *AC* is symmetrical.

Calculate the value of

Show the load acting on the girder *AC* as shown in Figure 7.

Refer Figure 7.

Thus, the load acting at *A*, *B*, and *C* on the girder *AC* are

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Structural Analysis

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