Equivalent Systems.

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Presentation transcript:

Equivalent Systems

Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment 4 lb 10 lb-ft A 3 lb 5 ft 5 ft Fixed Support

Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment Example: Replace the system of forces and moments with 1 force and 1 moment at A. 4 lb 10 lb-ft A 3 lb 5 ft 5 ft Fixed Support

Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment Example: Replace the system of forces and moments with 1 force and 1 moment at A. 4 lb 10 lb-ft A 3 lb 5 ft 5 ft Fixed Support A Fixed Support EQUIVALENT…..

Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment Example: Replace the system of forces and moments with 1 force and 1 moment at A. 4 lb 10 lb-ft A 3 lb 5 ft 5 ft 5 lb Fixed Support 4 A 3 Fixed Support EQUIVALENT…..

Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment Example: Replace the system of forces and moments with 1 force and 1 moment at A. i.e., “what are the resultants Fr and Mr at Point A?” 4 lb 10 lb-ft A 3 lb 5 ft 5 ft 5 lb Fixed Support 4 A 3 Fixed Support EQUIVALENT….

Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment Example: Replace the system of forces and moments with 1 force and 1 moment at A. i.e., “what are the resultants Fr and Mr at Point A?” 4 lb 10 lb-ft A 3 lb 5 ft 5 ft 5 lb Fixed Support 4 A 3 30 lb-ft Fixed Support EQUIVALENT SYSTEM

Problem 3: Replace the loading with an equivalent resultant force and specify the resultant’s location (line-of-action).