Question

Problem 2

The frame consists of two rigid bars that are pinned at A, B, and C. If the pin at B can only resist a net force of 550 lb, determine the maximum value of P2 that can be applied to the frame.

Answer:

Name: Date: EGM 2511 Statics Subject: Recitation 5.1 University of Florida Frame Analysis Problem 2 The frame consists of two rigid bars that are pinned at 4, B, and C. If the pin at B can only resist a net force of 550 lb, determine the maximum value of P2 that can be applied to the frame. Answer: B=520 16 P = 400 lb Kotofoto1 b=3 ft h=4 ft

Answer 1

400 lb 6=3 tt h = 4H- - > HX bbbb 26 - >> Rx + Cx = 0 - > Ef=0 » A+ C = P2 + 400 – Toking moment about & (only right post of B) cy x 36 - 400 x6 – P2 x 26 ao 3y = 400 + 222 y = }(223+ 400) * = Ay = (@+ 400) - $ (22, + 400) = + 800 - 1 + 800) Toking moment obout &' (only left part of B) x h = Ab Ax x 4 = ( + 800 x 3 Ax - ( + 800) from FBD Al 36 -0 > Bx = x= +800) Ery= y = Ay = (3+ 800) Ax Allowable Fo= 55016 → 550 = 144 (+960)]* +{$(72+70)] > 5502 = (a + 800) + 5 (2 + 800) > 5502 = + b) (+960)

(P2 +800)2 = 1742400 P2 + 800 = 1320 P2 = 520 lb . that can be Moximum applied volue of I 520 lb is