Questions from Mechanics


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

Derive the equations of the deflection curve for a simple beam AB loaded by a couple Mo acting at distance a from the left-hand support (see figure). Also, determine the deflection δo at...

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

Derive the equations of the deflection curve for a cantilever beam AB carrying a uniform load of intensity q over part of the span (see figure). Also, determine the deflection δB at the e...

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Q: An overhanging beam ABC supports a concentrated load P at the end

An overhanging beam ABC supports a concentrated load P at the end of the overhang (see figure). Span AB has length L, and the overhang has length a. Determine the deflection δC at the end...

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

Derive the equations of the deflection curve for a cantilever beam AB supporting a distributed load of peak intensity qo acting over one-half of the length (see figure). Also, obtain formulas for the...

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

Derive the equations of the deflection curve for a simple beam AB with a distributed load of peak intensity qo acting over the left-hand half of the span (see figure). Also, determine the deflection &...

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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 roller 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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Q: A simply supported beam is loaded with a point load, as

A simply supported beam is loaded with a point load, as shown in the figure. The beam is a steel wide flange shape (W 12 × 35) in strong axis bending. Calculate the maximum deflection of...

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Q: The cantilever beam shown in the figure supports a triangularly distributed load

The cantilever beam shown in the figure supports a triangularly distributed load of maximum intensity qo. Determine the deflection δB at the free end B. (Obtain the solution by determinin...

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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 when a couple Mo acts counterclockwise at the free end (see figure). Also, determine the deflection dB and slope θB at...

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Q: A simply supported beam (E = 1600 ksi) is loaded

A simply supported beam (E = 1600 ksi) is loaded by a triangular distributed load from A to C (see figure). The load has a peak intensity qo = 10 lb/ft, and the deflection is known to be 0.01 in. at p...

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