Questions from Mechanics


Q: Obtain a formula for the ratio δC/δmax of the deflection

Obtain a formula for the ratio δC/δmax of the deflection at the midpoint to the maximum deflection for a simple beam supporting a concentrated load P (see figure). From the f...

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Q: A cantilever beam model is often used to represent micro-electrical

A cantilever beam model is often used to represent micro-electrical-mechanical systems (MEMS) (see figure). The cantilever beam is made of polysilicon (E = 150GPa) and is subjected to an electrostatic...

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Q: The simple beam shown in the figure supports a concentrated load P

The simple beam shown in the figure supports a concentrated load P acting at distance a from the left-hand support and distance b from the right-hand support. Determine the deflection δD...

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Q: Beams AB and CDE are connected using rigid link DB with hinges

Beams AB and CDE are connected using rigid link DB with hinges (or moment releases) at ends D and B (see figure a). Beam AB is fixed at joint A and beam CDE is pin-supported at joint E. Load P = 150 l...

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Q: Derive the equation of the deflection curve for a cantilever beam AB

Derive the equation of the deflection curve for a cantilever beam AB supporting a load P at the free end (see figure). Also, determine the deflection δB and angle of rotation Î&cedi...

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Q: Derive the equation of the deflection curve for a simple beam AB

Derive the equation of the deflection curve for a simple beam AB loaded by a couple Mo at the left-hand support (see figure). Also, determine the maximum deflection δmax. Use the second-o...

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Q: A cantilever beam AB supporting a triangularly distributed load of maximum intensity

A cantilever beam AB supporting a triangularly distributed load of maximum intensity qo is shown in the figure. Derive the equation of the deflection curve and then obtain formulas for the deflection...

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Q: A cantilever beam has a length L = 12 ft and a

A cantilever beam has a length L = 12 ft and a rectangular cross section (b = 16 in, h = 24 in). A linearly varying distributed load with peak intensity qo acts on the beam. (a) Find peak intensity qo...

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Q: A simple beam with an overhang is subjected to a point load

A simple beam with an overhang is subjected to a point load P = 6 kN. If the maximum allowable deflection at point C is 0.5 mm, select the lightest W360 section that can be used for the beam. Assume t...

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Q: The beam shown in the figure has a sliding support at A

The beam shown in the figure has a sliding support at A and a spring support at B. The sliding support permits vertical movement but no rotation. Derive the equation of the deflection curve and determ...

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