Chapter 09, Problem 21 GO The drawing shows a uniform horizontal beam attached t

Question

Chapter 09, Problem 21 GO The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle ? = 43° by a brace that is attached to a pin. The beam has a weight of 336 N. Three additional forces keep the beam in equilibrium. The brace applies a forceto the right end of the beam that is directed upward at the angle ? with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H and a vertical component V. Find the magnitudes of these three forces. Beam Hinge Pin Brace (a) V- (b)P- (c)H- Click if you would like to Show Work for this question: Open Show Work

Explanation / Answer

Part B)

balancing moment about hinge

l X Psin43 = l/2 X 336

P = 246.33 N (Ans)

Part C)

so balancing forces

H = Pcos42

H = 246.33 cos43 = 180.16 N (ANS)

Part A)

Psin43 + V = 336 N

V = 336 - 246.33 sin43 = 168.23 N (ANS)

Comment in case any doubt ...

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