Questions from Mechanics


Q: Consider the compound beam with segments AB and BCD joined by a

Consider the compound beam with segments AB and BCD joined by a pin connection (moment release) just right of B (see figure part a). The beam cross section is a double-T made up from three 50mm &Atild...

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Q: A small dam of a height h = 6 ft is constructed

A small dam of a height h = 6 ft is constructed of vertical wood beams AB, as shown in the figure. The wood beams, which have a thickness t = 2.5 in, are simply supported by horizontal steel beams at...

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Q: A foot bridge on a hiking trail is constructed using two timber

A foot bridge on a hiking trail is constructed using two timber logs each having a diameter d = 0.5 m (see figure a). The bridge is simply supported and has a length L = 4 m. The top of each log is tr...

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Q: A steel post (E = 3 0 × 106 psi)

A steel post (E = 3 0 × 106 psi) having thickness t = 1/8 in and height L = 72 in supports a stop sign (see figure), where s = 12.5 in. The height of the post L is measured from the base...

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Q: Beam ABCDE has a moment release just right of joint B and

Beam ABCDE has a moment release just right of joint B and has concentrated moment loads at D and E. In addition, a cable with tension P is attached at F and runs over a pulley at C (Fig. a). The beam...

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Q: A steel wire with a diameter of d = 1/16

A steel wire with a diameter of d = 1/16 in is bent around a cylindrical drum with a radius of R = 36 in (see figure). (a) Determine the maximum normal strain εmax. (b) What is the minimu...

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Q: A palm tree weighing 1000 lb is inclined at an angle of

A palm tree weighing 1000 lb is inclined at an angle of 60° (see figure). The weight of the tree may be resolved into two resultant forces: a force P1 = 900 lb acting at a point 12 ft from...

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Q: A copper wire having a diameter of d = 4mm is bent

A copper wire having a diameter of d = 4mm is bent into a circle and held with the ends just touching (see figure). (a) If the maximum permissible strain in the copper is εmax = 0.0024, w...

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Q: A 4.75-in. outside diameter polyethylene pipe designed

A 4.75-in. outside diameter polyethylene pipe designed to carry chemical waste is placed in a trench and bent around a quarter-circular 908 bend (see figure). The bent section of the pipe is 52 ft lon...

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Q: A cantilever beam AB is loaded by a couple 0M at its

A cantilever beam AB is loaded by a couple 0M at its free end (see figure). The length of the beam is L = 2.0 m, and the longitudinal normal strain at the top surface is ε = 0.0010. The d...

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