   # A plane frame is restrained al joints A and C, as shown in the figure. Members AB and BC are pin connected at B. A triangularly distributed lateral load with a peak intensity or 90 lb/ft acts on AB. A concentrated moment is applied at joint C. (a) Find reactions at supports A and C. (b) Find internal stress resultants A', V, and \f at x = 3 ft on column AB. ### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347 ### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347
Chapter 1, Problem 1.3.19P
Textbook Problem
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## A plane frame is restrained al joints A and C, as shown in the figure. Members AB and BC are pin connected at B. A triangularly distributed lateral load with a peak intensity or 90 lb/ft acts on AB. A concentrated moment is applied at joint C.(a) Find reactions at supports A and C.(b) Find internal stress resultants A', V, and \f at x = 3 ft on column AB. (a)

To determine

The reactions at supports A and C .

### Explanation of Solution

Given Information:

You have following figure with all relevant information:

Calculation:

Consider the following free body diagram:

Member BC :

Analyze the free body diagram of member BC.

Take equilibrium of forces in x direction,

Fx=0Bx=0

Take equilibrium of moments about point C ,

MC=09By+500=0By=500/9=55.6 lb.

Take equilibrium of forces in y direction in:

Fy=0By+Cy=0Cy=By=(55.6)=55.6 lb.

Member AB :

Analyze the free body diagram of member AB.

Take equilibrium of forces in y direction in,

Fy=0By+Ay=0Ay=By=(55

(b)

To determine

The internal stress resultants N , V and M

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