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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 9, Problem 2P

Textbook Problem

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For the beam of Problem 8.6, determine the maximum upward reaction at support *A* due to a 35 kN/m uniformly distributed live load.

FIG. P8.6, P8.61

To determine

Find the maximum upward reaction at support *A*.

**Given Information:**

The uniformly distributed live load (*w*) is

**Calculation:**

Apply a 1 kN unit moving load at a distance of *x* from left end *A*.

Sketch the free body diagram of beam as shown in Figure 1.

Refer Figure 1.

Find the equation of support reaction *C* using equilibrium equation:

Take moment about point *C*.

Consider moment equilibrium at point *C*.

Consider clockwise moment as positive and anticlockwise moment as negative.

Sum of moment at point *C* is zero.

Consider Equation (1).

Find the value of influence line ordinate of reaction *A*.

Substitute 0 for *x* in Equation (2).

Similarly calculate the influence line ordinate of reaction *x* and summarize the result in Table 1.

x | |

0 | 1 |

14 | 0 |

18 |

Draw the influence line diagram for the vertical reactions at support *A* using Table 1 as shown in Figure 2

Structural Analysis

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