Metodo de la fuerza incognita

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This document presents the method of the unknown force to solve a frame with multiple forces. It shows the free body diagrams of different parts of the frame and sets up the force equations for the sums of the forces in the x and y directions. It then solves for the unknown forces, finding that FEG, FGB, and FGA are all equal to 0, and that FBA is also equal to 0. It determines expressions for RB and RA as functions of the applied force P.

INTEGRANTES:
 ALFARO NOA GUILLERMO
 CCAMA CRUZ RONALD
 CONDORI CANAZA PERCY
 VELARDE GALINDO WILLI

Método de la Fuerza
Incógnita
A
D
EG
C
B
β
β θ
θ

∑FY
3
5
FED – X = 0
FED =
5𝑋
3
∑FX
-FCD +
4
5
FED = 0
FCD =
4𝑋
3

∑FY
-FCB +
3 13
13
FCE = 0
FCB = 2X
∑FX
2 13
13
FCE +
4𝑋
3
= 0
FCE =
2 13
3
X

∑FY
-FCB +
3 13
13
FCE = 0
-X – P – 2X = 0
X = -
𝑃
3
∑FX
2 13
13
FCE +
4
5
FDE - FEG = 0
-
4𝑋
3
+
4𝑋
3
- FEG = 0
FEG = 0

∑FY
3
5
FGA =
3 13
13
FGE
13
5 13
FGB = FGA
∑FX
2 13
13
FGA +
4
5
FGB = 0
FGB = 0
FGA = 0

∑FY
RA + X = 0
RB = -X
RB =
𝑃
3
∑FX
FBA = 0

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