Question

How do I find internal force for Joint O & P?

*ALL 19.90 FORCES IN KN 19.59 18.65 UN 15.86 17.47 16.42 15.00 A+ 3m A 54.65 B 31.02 356.2 347.8 40.03 38.84 101.1 283.1 33.81 34.61 >(m) + 3.05- 7.35- -591 Esb si 20.251 24.55- 28.85- Ispan= 31.9m

Answer 1

note

methods of joint is used

we have to consider joint A ,B, C in addition to joint O and P

, 19.90, 19.59 18.65 5 .86 11-47 16.42 is Zo> 356.2 37.02. lol. 347.8 > 28 3.1 * KN. 38.84 * - 33.81 > 34.61 13:05 4. 3 14.3 4.3 4.3 4.3 4.3 3.051 VEO Ayt. Iy = 37.02+ 356:2+ 347.8+ 40.03+ 3884+ 101.1 + 283.1+ 33.81+34.617 19.90€ 19.597 18.65+15.86+ 1747+ 16.42 +15 139 5.4 KN

{H=0 Ax=0 since the support I have vertical component only (Reaction) The effect of load on support need not be considered. Taking moment about a ** 319 - 28.85( 33-81+15) -24.554(283-/+ 16.92) 20:554 101:17 17.47) – 15.9544 3864+15-86) - 11.65+C+0.03+ 18:65) – 7.35%( 347.8+ 19:59) - 3.054 ( 356:2+19-9) =0 solving R3 = 520.80 KW Ro'= 520-80+ 34.61 20=(1995+-(520-50+ 34.61] Ra's 839.81 KN. Ro=839.81-37-02= 802.96 KN

/ 37.02 34.61 I + 520.81 802.96 = 555.42 =839.81 KN. ( 1395.4 - 555.42) 1 Method of joints. considen Joint A. EV= 0 FAP SIN 54.64 = 802-96 54.64 FAB ? 802.96 Fap = 984.58 KN. (c) {H=0 FAB= FAP los 54.64 FAB = 569.79 KN (T)

consider Joint B TEBO FAB=FBc=569.79 KN FBO= 356.2 KN - FAB Į FB (? 135602 P considen Joint Fap= 1984.58 () ©= 90 - 54.64 ) = 35.360 119.9.?. FBD=356.2(T) Ғeo 2 a commented (Tensile)

Ev=o Fap Cos 35.36+ FPC Costs = 19.9+ Foo FPC Cos45= 19.9+356.2 - 984.58X (os 35.36 solving FPc =-603-66 KN hence is tensile. El=0 FAB Sin 35.36 + fpot facsints=0 Fro= 142.93 KN hence. Compressive 19.9 L 1. 14 2.43 964.58) Ptt X 603-66 -

consided Joint 603-66 & fco 450 d F CD FBC V 347.8 FCP= 663-66 KN. FBC=569.79 KN {H=0 Fco=FB ct 603-66X (0545 -99664 KN Ev=0 Fco= 347. 8 603-66X sinas - =-79.05 kN (compressive) 603-66 . 79.0s 569-19 996.64 / 347-8

Join o V 19.59 14293 FPo=142-9 (c) 1905 Ft Fco= 79.05 (c) Ev=o Foo cos 45 +19.59 = 79.05 . For = 84.04 (T) &H=o 142.93 - Font Foo Sin 45 = 0 Fon=202.39 KN.(c) v 142.93 19. sq 200-34 o o 484.09 44.09 19.05 V