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Chapter 2 Review of Forces and Moments - Brown University

Chapter 2 Review of Forces and Moments - Brown University

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2D pinned joints are <strong>of</strong>ten represented as shown in the picture below<br />

A<br />

A<br />

R Ax<br />

R (1/2) Ay<br />

R (1/2) Ax<br />

A<br />

(2)<br />

R Ay<br />

(1)<br />

A<br />

R (1/2) Ax<br />

R (1/2) Ay<br />

Roller <strong>and</strong> journal bearings<br />

Bearings are used to support rotating shafts. You can buy<br />

many different kinds <strong>of</strong> bearing, which constrain the shaft in<br />

different ways. We’ll look at a couple <strong>of</strong> different ones.<br />

Example 1: The bearing shown below is like a pin joint: it<br />

allows rotation about one axis, but prevent rotation about the<br />

other two, <strong>and</strong> prevents all relative displacement <strong>of</strong> the shaft.<br />

Reaction forces: No relative motion is possible at this kind <strong>of</strong><br />

bearing. There must be 3 components <strong>of</strong> reaction force.<br />

Reaction moments: Relative rotation is allowed about one axis<br />

(parallel to the shaft), but prevented about the other two. There must be two components <strong>of</strong> reaction<br />

moment.

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