Questions from Mechanics


Q: A thin steel beam AB used in conjunction with an electromagnet in

A thin steel beam AB used in conjunction with an electromagnet in a high-energy physics experiment is securely bolted to rigid supports (see figure). A magnetic field produced by coils C results in a...

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Q: Find an expression for required moment MA (in terms of q

Find an expression for required moment MA (in terms of q and L) that will result in rotation θA = 0 due to MA and q loadings applied at the same time.

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Q: Repeat Problem 41 for the loading shown in the figure.

Repeat Problem 41 for the loading shown in the figure. Data from Problem 41: Find an expression for required moment MA (in terms of q and L) that will result in rotation θA = 0 due to...

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Q: A propped cantilever beam is loaded by two different load patterns (

A propped cantilever beam is loaded by two different load patterns (see figures a and b). Assume that EI is constant and the total beam length is L. Find expressions for reactions at A and...

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Q: A propped cantilever steel beam is constructed from a W12 × 35

A propped cantilever steel beam is constructed from a W12 × 35 section. The beam is loaded by its self-weight with intensity q. The length of the beam is 11.5 ft. Let E = 30,000 ksi. (a)...

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Q: A fixed-end beam is subjected to a point load at

A fixed-end beam is subjected to a point load at mid-span. The beam has a rectangular cross section (assume that the h/b ratio is 2) and is made of wood (E = 1 1 GPa). (a) Find height h of the cross s...

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Q: Solve the preceding problem by integrating the differential equation of the deflection

Solve the preceding problem by integrating the differential equation of the deflection curve. Data from Problem 4: A two-span beam with spans of lengths L and L/3 is subjected to a temperature diff...

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Q: A propped cantilever beam AB of a length L is loaded by

A propped cantilever beam AB of a length L is loaded by a counterclockwise moment M0 acting at support B (see figure). Beginning with the second-order differential equation of the deflection curve (th...

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Q: A fixed-end beam AB of a length L supports a

A fixed-end beam AB of a length L supports a uniform load of intensity q (see figure). Beginning with the second-order differential equation of the deflection curve (the bending- moment equation), obt...

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Q: A cantilever beam AB of a length L has a fixed support

A cantilever beam AB of a length L has a fixed support at A and a roller support at B (see figure). The support at B is moved downward through a distance δB. Using the fourth-order differ...

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