The figure shows a beam supported by a pivot pin at A and a roller at B. The beam is subjected to a 200 Lb load at one end. Find the reactions at both the pin and the roller. Leave your calculations and don't forget the units! 45⁰ 200 lb

The figure shows a beam supported by a pivot pin at A and a roller at B. The beam is subjected to a 200 Lb load at one end. Find the reactions at both the pin and the roller. Leave your calculations and don't forget the units! 45⁰ 200 lb

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.10P: Find support reactions at 4 and Band then use the method of joints to find all member forces. Let b...

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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

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The figure shows a beam supported by a pivot pin at A and a roller at B. The beam is
subjected to a 200 Lb load at one end. Find the reactions at both the pin and the roller.
Leave your calculations and don't forget the units!
Answers: FA =
Calculations
A
6 ft
FB =
8 ft
45⁰
200 lb
1
2
P

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Step 2: Free body diagram and solving horizontal reaction at A

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Step 3: Now solving for vertical reaction at A and reaction at Point B

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RAY B F F₁ ROY