Question 40 / 40:  For the pin-connected structure below, the internal angles are all 60 degrees and the structure is supported from below by a flat table. If the load F1 is 10 N, then what is the force in the member BC?
Mechanics I ME102 Stephanie Redfern For the pin-connected structure below the Stephanie Saylor Foundat
A  5N, compression
B  10N, compression
C  6.66N, compression
D  5.77N, compression
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Explanation:

From the symmetry of the problem, we can see that the force in members AB and BC are equivalent. Hence, the y-component of the force in each of these members is 5N or one-half of the 10N load. The total force in the member is then 5 N / sin(60) = 5.77N. The member is in compression since the forces at either end act inwards. Other questions that might be considered include: What is the force in member AC? What happens if we change the angles? In either case, analysis is a matter of balancing forces and considering trigonometry.

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Mechanics I ME102

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Attribution:  Stephanie Redfern, Ranjeet (Ron) Agarwala, and Dr. Steve Gibbs. Mechanics I. The Saylor Academy 2014, http://www.saylor.org/courses/me102/
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