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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 9, Problem 9P

Textbook Problem

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For the truss of Problem 8.47, determine the maximum compressive axial force in member *GH* due to a concentrated live load of30 k, a uniformly distributed live load of 2 k/ ft, and a uniformly distributed dead load of 1 k/ft.

FIG. P8.47

To determine

Find the maximum compressive axial force in member *GH*.

**Given Information:**

The concentrated live load (*P)* is 30 k.

The uniformly distributed live load

The uniformly distributed dead load

**Calculation:**

**Influence line for the force in member GH.**

Find the force in member *GH*.

The expressions for the member force *aa* through the members *GH, CH,* and *CD* and then apply a moment equilibrium at *G*.

The appropriate support reaction is first determined by proportions and then influence line ordinate can be found

Place 1 k load successively at the points *A, B, C*, *D*, and *E*.

Draw the free body diagram of section *aa* as shown in Figure 1.

Refer Figure 1.

Apply a 1 k load just the left of *C*

Apply moment equilibrium equation at *C*.

Take moment at *C* from *E*.

Consider clockwise moment as negative and counterclockwise moment as positive.

Apply a 1 k load just the right of *C*

Apply moment equilibrium equation at *C*.

Take moment at *C* from *A*.

Consider clockwise moment as positive and counterclockwise moment as negative.

The equation of force in the member *GH*,

Find the force in member *GH* using the Equation (1) and (2) and summarize the value in Table 1

Structural Analysis

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