Question

The three-hinged arch is loaded as shown. (Assume that the +x-axis is to the right and the+y-axis is up along the page. Due to the nature of this problem, do not use rounde 8 ft 645 lb 10 ft 420 lb 10 ft c 16 ft- Determine the reactions at A and C in pounds. lb m nitude direction -Select- Ib magnitude direction -Select- lb -Select- Ex magnitude direction cy magnitude direction lb -Select- Determine the forces pin B exerts on each member in pounds. (Enter the magnitude.) Ib Ib

Answer 1

Ax 4ft 8H 64566 B. 1017 4201 8H 16h 8ft eft loft cy .Ge Pic calculating support reactions E fy=0 =) Ay & Cy=645 lb ... (1) { Fe=0 =) Age + Ge= -4309---) taking moment about B in segment AB { MB)=0 Ax +(6+4) + Ayx (8+16) - GH5x16=0 12 Ax + 24ity = 10320 .. (1) =)

similarly four por Han BC E MB)=0 9-C * (10 +10) - Cyx(6+8) -4200020 =) 20 Cx + 16 Cy = -4200 Boduing equ (i), (i), Git) and (iv) =) Ay tCy 645 Ax + Cyc = -420 1 2 Atx + 24 Ay = 10320 20 Get 16 Cy = -4200 Ay = 461-67 Lb Aus An= -63.33.6 etung x = -356.67 46) Aug Cy = 183: 334 Chud

in borton AB { Fxzo → Ax A 2 As + Bx = 0 Ba - Ax By Bze = -(-63-33) 645 B By B x = 63.3396 { Fly - Ay + By = 645 =) 461.67 +By=645 By = 183-334bitus

notation	absolute magnitude of force	direction
Ax	63.33	-ve X-drn
Ay	461.67	+ve Y-drn
Cx	356.67	-ve X-drn
Cy	183.33	+ve Y-drn
Bx	63.33	+ve X-drn
By	183.33	+ve Y-drn