MHB Calculating Torques for Equilibrium of Truss System

Click For Summary
To solve the equilibrium problem for the truss system, it's essential to identify all external forces acting on the structure, specifically at points A and D. The conditions for equilibrium require that the sum of forces in both the x and y directions, as well as the sum of moments about point A, must equal zero. Calculating the moments of the external forces with respect to point A is a crucial step in determining the magnitudes of forces P and F along bars AB and AE. Additionally, it's noted that in US physics terminology, moments are often referred to as torques. Understanding these concepts is vital for maintaining equilibrium in the truss system.
paulmdrdo
Messages
89
Reaction score
2
I wonder if there's a physics person here who could help me solve this problem.

the loads applied to the truss shown in the figure cause reactions shown at A & D. A free body diagram of hinge A forms concurrent force system shown enclosed at A. Determine the magnitude of forces P & F directed respectively along bars AB & AE that maintain equilibrium of this system.
 

Attachments

  • statics2.png
    statics2.png
    5.8 KB · Views: 109
Mathematics news on Phys.org
LATEBLOOMER said:
I wonder if there's a physics person here who could help me solve this problem.

the loads applied to the truss shown in the figure cause reactions shown at A & D. A free body diagram of hinge A forms concurrent force system shown enclosed at A. Determine the magnitude of forces P & F directed respectively along bars AB & AE that maintain equilibrium of this system.

Hi LATEBLOOMER! :)

First step is to find all external forces based on the conditions for equilibrium ($\sum F_x = 0, \sum F_y = 0, \sum M_A = 0$).

Suppose the external force at A on the truss has 2 components $A_x$ and $A_y$, and similarly at D we have $D_x$ and $D_y$. Can you find these forces?
I suggest you start with calculating the moments of all external forces with respect to A.
 
I like Serena said:
I suggest you start with calculating the moments of all external forces with respect to A.

Just a comment: in US physics, at least, moments are called torques. See here and here.
 
I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...

Similar threads

  • · Replies 14 ·
Replies
14
Views
1K
  • · Replies 1 ·
Replies
1
Views
944
  • · Replies 18 ·
Replies
18
Views
6K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 4 ·
Replies
4
Views
5K
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
3
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
3
Views
2K