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Shawn Kenny, Ph.D., P.Eng. Assistant Professor Faculty of Engineering and Applied Science Memorial University of Newfoundland spkenny@engr.mun.ca ENGI 1313 Mechanics I Lecture 34:Analysis of Frames and Machines
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 2 Lecture 34 Objective to illustrate the analysis of frames and machines by example
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 3 Example 34-01 The scale consists of five pin-connected members. Determine the load W on the pan EG if a weight of 3 lb is suspended from the hook at A.
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 4 Example 34-01 (cont.) Any Structural Characteristics? Two-force members EC FD G
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 5 Example 34-01 (cont.) FBD ACD EG FH CyCy GyGy W DyDy HyHy GyGy HxHx ByBy BxBx A y = 3lb CyCy DyDy
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 6 Example 34-01 (cont.) Known? AyAy Find? WW How? Successive equilibrium equations and substitution EyEy GyGy W ByBy BxBx A y = 3lb CyCy DyDy FyFy HyHy GyGy HxHx
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 7 Example 34-01 (cont.) FBD ACD EG C y = E y FBD ACD FH D y = F y GyGy W ByBy BxBx A y = 3lb CyCy DyDy HyHy GyGy HxHx CyCy DyDy
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 8 Example 34-01 (cont.) FBD ACD ByBy BxBx A y = 3lb CyCy DyDy
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 9 Example 34-01 (cont.) FBD EG GyGy W CyCy
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 10 Example 34-01 (cont.) FBD EG GyGy W CyCy
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 11 Example 34-01 (cont.) FBD FH HyHy GyGy HxHx DyDy
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 12 Example 34-01 (cont.) FBD ACD ByBy BxBx A y = 3lb CyCy DyDy
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ENGI 1313 Statics I – Lecture 34© 2007 S. Kenny, Ph.D., P.Eng. 13 References Hibbeler (2007) http://wps.prenhall.com/esm_hibbeler_eng mech_1
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