Find the reactions the pin A and roller D exert on the truss

In summary, the rigid truss is supporting various loads at pin A and roller D, while all concentrated loads act on the pins joining the truss members. The equation to find the reactions at pin A and roller D is ƩMa= -5ft(3kips)-10ft(2kips)-.707(1kip)10ft+Dy(15ft), with a solution of Dy=2.80 kips*ft. There should be no force applied at joint B, as the truss members only support axial loads. Additionally, the last two terms in the sum of moments about A equation are incorrect.
  • #1
pb23me
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Homework Statement


The rigid truss supports the loads shown. Find the reactions the pin A and roller D exert on the truss.
All concentrated loads act on the pins joining the truss members

Homework Equations


ƩMa= -5ft(3kips)-10ft(2kips)-.707(1kip)10ft+Dy(15ft)
Dy=2.80 kips*ft

The Attempt at a Solution


My question is just regarding pin B. Am I supposed to assume some force is going down and to the left-45 degrees-at this location?
 

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  • #2
The truss members are supporting axial loads only.
 
  • #3
And don't assume any loading at joint B, since there is no force applied there. Your last 2 terms in your sum of moments about A = 0 equation are also not correct.
 

Related to Find the reactions the pin A and roller D exert on the truss

1. What is the purpose of finding the reactions on pin A and roller D in a truss?

The reactions on pin A and roller D are necessary to determine the stability and structural integrity of the truss. These reactions help us understand how external forces are distributed throughout the truss and whether it can withstand those forces without collapsing.

2. How do you determine the reactions on pin A and roller D?

To determine the reactions on pin A and roller D, we use the principles of statics and equilibrium. This involves setting up equations based on the geometry of the truss and applying the equations of equilibrium to solve for the unknown reactions.

3. What factors affect the reactions on pin A and roller D?

The reactions on pin A and roller D are affected by several factors, including the geometry of the truss, the magnitude and direction of external forces, and the type of supports at pin A and roller D. These factors determine how the external forces are distributed and how the truss will react to them.

4. Can the reactions on pin A and roller D be negative?

Yes, the reactions on pin A and roller D can be negative. This typically occurs when the external forces are acting in a direction that would cause the truss to collapse. A negative reaction indicates that the support is actually exerting a force in the opposite direction to prevent collapse.

5. What is the significance of the reactions on pin A and roller D in the design of a truss?

The reactions on pin A and roller D play a crucial role in the design of a truss as they determine the maximum load the truss can withstand. By calculating these reactions, we can ensure that the truss is strong enough to support the expected external forces and maintain its stability.

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