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Machine Design_slide 5

Machine Design_slide 5 - A system in which the law of...

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Machine Design ENGR 3220U Week 3, Lecture 1 UOIT, 2011, Winter
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Application of Castigliano’s Theorem Example 1 For the wire form of diameter d shown in left figure, determine the deflection of point B in the direction of the applied force F (neglecting the effect of bending shear).
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Application of Castigliano’s Theorem
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Deflection of Curved Member
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Deflection of Curved Member θ θ θ θ δ π θ π θ π θ π d F F AG R CF d F MF AE d F F AE R F d F M AeE M F U r r + - + = = 0 0 0 0 ) ( 1 The deflection produced by the force F shown in last slide is:
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Statically Indeterminate
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Unformatted text preview: A system in which the law of statics are not sufficient to determine all the unknown forces or moment is said statically inderterminate. Problems of which this is true are solved by writing the appropriate equations of static equilibrium and additional equations pertaining to deformation of the part. In general, the number of equations must equal the number of unknowns. Example 2: Statically indeterminate problems For the beam shown in above, find out the reaction forces R 1 and R 2 ....
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