Pin-jointed framework

  • Thread starter MMCS
  • Start date
  • #1
151
0
ƩFx = 0
ƩFy = 0
ƩMoments about a point = 0

Ay + By - 2KN = 0

Momments about A = -(2KN * 2.4) + 1*ReactionC = 0
-4.8KN = reactionC



Sub into first eq

Ay +(-4.8) -2 = 0
Ay = 6.8

To find out the reaction in member AB

I have

6.8 - Tab Cos(tan-10.8/1) = 0
Tab = 6.8/Cos(tan-10.8/1) = 8.738

I have the answer to be 2.56
 

Attachments

Answers and Replies

  • #2
PhanthomJay
Science Advisor
Homework Helper
Gold Member
7,165
507
What about the horizontal component of the reaction force at C? What can you say about the horiz and vert components of the reaction force at A?
 
  • #3
151
0
What about the horizontal component of the reaction force at C? What can you say about the horiz and vert components of the reaction force at A?
The x and y at A should equal the support AB
The x values for A and C i am unsure how to work out, i have only dealt with problems where one support is a roller support
 
  • #4
PhanthomJay
Science Advisor
Homework Helper
Gold Member
7,165
507
The x and y at A should equal the support AB
You mean the vector sum of the x and y components of the reaction force at A should be equal in magnitude to the force in member AB?
The x values for A and C i am unsure how to work out, i have only dealt with problems where one support is a roller support
Truss members are 2 force members. Since no other member besides AB frame into support A, then the total resultant reaction force at support A must be in the direction of member AB.

I note that you have posted this question in the engineering section also. You should probably respond in that thread instead of this one, and avoid double posting in the future thanks.
 
  • #5
151
0
If the reaction force at A is equal to the magnitude of vector AB, then i have an answer of 6.8KN, but the answer is 2.56KN can you point out the mistake in my working
 
  • #6
PhanthomJay
Science Advisor
Homework Helper
Gold Member
7,165
507
The reaction force at A acts in the direction of member AB. Sum moments about C to solve for it or its components.
 
  • #7
151
0
Ok i realise where my confusion was on this problem thanks for your help
 

Related Threads on Pin-jointed framework

  • Last Post
Replies
7
Views
20K
  • Last Post
Replies
7
Views
8K
Replies
7
Views
6K
Replies
2
Views
622
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
992
  • Last Post
Replies
7
Views
9K
  • Last Post
Replies
15
Views
891
  • Last Post
Replies
1
Views
665
Top