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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 9, Problem 21P

Textbook Problem

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Determine the absolute maximum bending moment in a 75 ft long simply supported beam due to the wheel loads of the moving HS15-44 truck shown in Fig. P9.15.

FIG. P9.15, P9.21

To determine

Find the absolute maximum bending moment in a 75 ft long simply supported beam.

**Calculation:**

Sketch the simply supported beam as shown in Figure 1.

Sketch the loading position and resultant as shown in Figure 2.

Refer Figure 2.

Find the resultant load

Find the location of the resultant

Consider moment of the resultant about a point equals the sum of the moments of the individual loads about the same point.

Take moment at load 1.

Substitute 27 k for

Find the position of loads on the beam.

As per the observation, the resultant is closest to the second load. Hence, the maximum bending moment occurs under the second load. The series of the load is positioned on the beam so that the midspan of the beam is located halfway between the load 2 and the resultant.

Find the distance between the resultant and second load.

Substitute

Find the position of second load and resultant from center of the beam.

Substitute 7.33 ft for

Structural Analysis

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