1. In the structure shown below members ABC and BDE are assumed to be solid rigid members. Member BDE is supported by a roller at point E, and is pinned to member ABC at point B. Member ABC is pinned to the wall at point A. Member ABC is a aluminum rod with a diameter of 1 inch. For this structure:

How many reaction forces are in joints A and E.

Draw a Free Body Diagram showing all support forces and loads.

wpe1.jpg (8186 bytes)

Solution:

External support reaction -

Statics: STEP 1: Draw a free body diagram showing and labeling all load forces and support (reaction) forces, as well as any needed angles and dimensions.

STEP 2: Break any forces not already in x and y direction into their x and y components.

wpe3.jpg (12822 bytes)

Point A has two reaction forces (or external support reactions), since it is a pin joint. Point E is a roller, so it has just one reaction support perpendicular to the surface it is moving on.

 

 

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