Example Problem Given : B F F = 500 N = 45 2 m Find : A C - - PowerPoint PPT Presentation

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Example Problem Given : B F F = 500 N = 45 2 m Find : A C - - PowerPoint PPT Presentation

Dec 27, 2022 257 likes •321 views

Example Problem Given : B F F = 500 N = 45 2 m Find : A C Force in each 2 m member Example Problem Solution B 500 N B F Given: F = 500 N 2 m 2 m = 45 Find: 2 m 2 m 45 Force in each member A C A x

slide-1
SLIDE 1

Example Problem

Given: F = 500 N θ = 45º Find: Force in each member

θ

2 m B C A 2 m F

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SLIDE 2

Example Problem Solution

Given: F = 500 N θ = 45º Find: Force in each member Solution: 1-FBD 2-Support Reactions 45º 2 m B Ax 2 m 500 N Ay Cy

y

F 

A

M 

x

F

θ

2 m B C A 2 m F

500  

x

A    N

  • r

Ax 500 500 2 500 2    

y

C

  N Cy 500

500  

y

A

   N

  • r

Ay 500 500

45º 2 m B 500 N 2 m 500 N 500 N 500 N A C

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SLIDE 3

Example Problem Solution

Given: F = 500 N θ = 45º Find: Force in each member Solution: 1-FBD 2-Support Reactions 3-Joint FBDs 500 N 500 N AC AB 45º 2 m B 500 N 2 m 500 N 500 N 500 N A C

Joint A Joint B

500 N BC AB 45º

Joint C

500 N BC AC 45º

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SLIDE 4

Example Problem Solution

Given: F = 500 N θ = 45º Find: Force in each member Solution: 1-FBD 2-Support Reactions 3-Joint FBDs

y

F 

x

F

500 N 500 N AC AB

Joint A

500 N BC AB 500 N

Joint B

45º

x

F

B A C 500 T 500 T

Results shown in a force diagram

500   AC

T N AC 500 

500   AB

T N AB 500 

45 sin 500   BC

C N BC 707 