Questions from Mechanics


Q: A rigid bar AB having a mass M = 1.0

A rigid bar AB having a mass M = 1.0 kg and length L = 0.5 m is hinged at end A and supported at end B by a nylon cord BC (see figure). The cord has cross-sectional area A = 30 mm2, length b = 0.25 m,...

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Q: A post AB supporting equipment in a laboratory is tapered uniformly throughout

A post AB supporting equipment in a laboratory is tapered uniformly throughout its height H (see figure). The cross sections of the post are square, with dimensions b × b at the top and 1...

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Q: A uniformly tapered tube AB of circular cross section and length L

A uniformly tapered tube AB of circular cross section and length L is shown in the figure. The average diameters at the ends are dA and dB = 2dA. Assume E is constant. Find the elongation Î&acut...

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Q: A vertical steel bar ABC is pin-supported at its upper

A vertical steel bar ABC is pin-supported at its upper end and loaded by a force P1 at its lower end. A horizontal beam BDE is pinned to the vertical bar at joint B and supported at point D. Load P2 a...

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Q: A T-frame structure is composed of a prismatic beam ABC

A T-frame structure is composed of a prismatic beam ABC and a non prismatic column DBF. The beam and the column have a pin support at A and D, respectively. Both members are connected with a pin at B....

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Q: A T-frame structure is composed of prismatic beam ABC and

A T-frame structure is composed of prismatic beam ABC and non prismatic column DBF that are joined at B by a frictionless pin connection. The beam has a sliding support at A and the column is pin supp...

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Q: Repeat Problem 29 if vertical load P at D is replaced by

Repeat Problem 29 if vertical load P at D is replaced by a horizontal load P at D (see figure). Data from Problem 29: A T-frame structure is composed of prismatic beam ABC and non prismatic column...

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Q: The assembly shown in the figure consists of a brass core (

The assembly shown in the figure consists of a brass core (diameter d1 = 0.25 in) surrounded by a steel shell (inner diameter d2 = 0.28 in, outer diameter d3 = 0.35 in). A load P compresses the core a...

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Q: A plain concrete wall (i.e., a wall with

A plain concrete wall (i.e., a wall with no steel reinforcement) rests on a secure foundation and serves as a small dam on a creek (see figure). The height of the wall is h = 6.0 ft and the thickness...

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Q: A cylindrical assembly consisting of a brass core and an aluminum collar

A cylindrical assembly consisting of a brass core and an aluminum collar is compressed by a load P (see figure). The length of the aluminum collar and brass core is 350 mm, the diameter of the core is...

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