Question 1

How does a slider crank mechanism convert rotary motion to linear motion?

Accepted Answer

A slider crank mechanism uses a rotating crank arm connected to a sliding piston through a connecting rod. As the crankshaft rotates the crank pin traces a circle. The connecting rod constrains the piston to move only vertically. The piston height is H equals a times cosine theta plus the square root of L squared minus a squared times sine squared theta where a is the crank radius L is the connecting rod length and theta is the crank angle.

Question 2

What are TDC and BDC in an engine and how do they relate to cylinder volume?

Accepted Answer

TDC or top dead center is when the piston is at its highest point at crank angle zero. The piston height at TDC equals L plus a. BDC or bottom dead center is when the piston is at its lowest point at crank angle 180 degrees. The piston height at BDC equals L minus a. The stroke length is 2a. Cylinder volume is minimum at TDC and maximum at BDC. The swept volume or displacement equals pi times B over 2 squared times 2a.

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Automotive Piston (Slider-Crank Mechanism)