Find out the forces in members, Mechanical Engineering

Find out the forces in members:

A braced support ABC is loaded as illustrated. Find out the forces in members AB, BC, BD and AD by the method of joints. Check out the results by graphical method of solution.

Solution

Method of Joints

 Supposing the direction of the required forces as shown in the figure.

Joint A

Resolving the forces vertically,

fAB sin 60o = 1000

∴          fAB = 1154 kg (tension) Further, solving the forces horizontally,

fAD = fAB cos 60o = 577 kg (comp.)

Joint B

Resolving the forces vertically,

fDB sin 60o = fBA sin 60o

∴          fDB = fBA = fAB = 1154 kg (comp.)

 And, resolving the forces horizontally,

fBC = fDB cos 60o + fBA cos 60o

= (1154 × 0.5) + (1154 × 0.5) = 1154 kg (tension)

Posted Date: 1/29/2013 7:37:17 AM | Location : United States







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