Questions from Mechanics


Q: A steel beam ABC is simply supported at A and held by

A steel beam ABC is simply supported at A and held by a high-strength steel wire at B (see figure). A load P = 240 lb acts at the free end C. The wire has axial rigidity EA = 1500 × 103 l...

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Q: Calculate the deflection at point C of a beam subjected to uniformly

Calculate the deflection at point C of a beam subjected to uniformly distributed load w = 275 N/m on span AB and point load P = 10 kN at C. Assume that L = 5 m and EI = 1.50 × 107 Nm2....

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Q: Compound beam ABC is loaded by point load P = 1.

Compound beam ABC is loaded by point load P = 1.5 kips at distance 2a/3 from point A and a triangularly distributed load on segment BC with peak intensity qo = 0.5 kips/ft. If length a = 5 ft and leng...

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Q: The compound beam shown in the figure consists of a cantilever beam

The compound beam shown in the figure consists of a cantilever beam AB (length L) that is pin-connected to a simple beam BD (length 2L). After the beam is constructed, a clearance c exists between the...

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Q: A weight W = 4000 lb falls through a height h =

A weight W = 4000 lb falls through a height h = 0.5 in onto the midpoint of a simple beam of length L = 10 ft (see figure). Assuming that the allowable bending stress in the beam is σallow...

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Q: Find the horizontal deflection δh and vertical deflection δv at the free

Find the horizontal deflection δh and vertical deflection δv at the free end C of the frame ABC shown in the figure. (The flexural rigidity EI is constant throughout the fram...

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Q: The frame ABCD shown in the figure is squeezed by two collinear

The frame ABCD shown in the figure is squeezed by two collinear forces P acting at points A and D. What is the decrease d in the distance between points A and D when the loads P are applied? (The flex...

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Q: A framework ABCD is acted on by counterclockwise moment M at A

A framework ABCD is acted on by counterclockwise moment M at A (see figure). Assume that EI is constant. (a) Find expressions for reactions at supports B and C. (b) Find expressions for angles of rota...

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Q: A framework ABCD is acted on by force P at 2L/

A framework ABCD is acted on by force P at 2L/3 from B (see figure). Assume that EI is constant. (a) Find expressions for reactions at supports B and C. (b) Find expressions for angles of rotation at...

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Q: A beam ABCDE has simple supports at B and D and symmetrical

A beam ABCDE has simple supports at B and D and symmetrical overhangs at each end (see figure). The center span has length L and each overhang has length b. A uniform load of intensity q acts on the b...

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