How Can You Correctly Calculate Forces in a Truss Analysis Problem?

In summary: A is equal to the force applied at C multiplied by the distance between A and C. This suggests that the x component of force at C and at B must be equal in order for the moment to be balanced.
  • #1
lecammm
9
0

Homework Statement



As shown by the attachment we are given the distances and the 28kN force

Homework Equations



Relevent equations are equations of equilibrium;

ƩFy & ƩFx = 0;
ƩM = 0;

The Attempt at a Solution



First found By by summing the moments around point A;
(clockwise positive)
i.e.

ƩMa = (28*0.6) - (By*0.3) = 0

which gave By = 56kN

Next I summed the forces in the x direction and then took the sum of moments around the point "C", then tried to solve the simultaneous equations for Bx

However, this gave the wrong answer and I have no idea where to go.

Any help is great, thanks :D
 

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  • #2
lecammm said:

Homework Statement



As shown by the attachment we are given the distances and the 28kN force

Homework Equations



Relevent equations are equations of equilibrium;

ƩFy & ƩFx = 0;
ƩM = 0;

The Attempt at a Solution



First found By by summing the moments around point A;
(clockwise positive)
i.e.

ƩMa = (28*0.6) - (By*0.3) = 0

which gave By = 56kN

Next I summed the forces in the x direction and then took the sum of moments around the point "C", then tried to solve the simultaneous equations for Bx

However, this gave the wrong answer and I have no idea where to go.

Any help is great, thanks :D
What is the moment about A of the force applied at C by the CB support? What does that tell you about the x component of force at C and at B?

AM
 

Related to How Can You Correctly Calculate Forces in a Truss Analysis Problem?

1. What is a truss analysis problem?

A truss analysis problem involves analyzing the forces and stresses within a truss structure, which is a framework of interconnected beams and bars used to support loads. It is typically used in engineering and construction to design and assess the stability and strength of structures.

2. How is a truss analysis problem solved?

A truss analysis problem is typically solved using equations derived from the principles of statics, which relate the forces acting on a structure to its geometry and material properties. The most common method is the method of joints, which involves analyzing the forces at each joint in the truss.

3. What are the key assumptions made in truss analysis?

The key assumptions made in truss analysis include: the truss is composed of slender, straight members; the joints are frictionless; the loads are applied only at the joints; and the truss is loaded in a way that the forces act only along the members, not at the joints.

4. What are the applications of truss analysis?

Truss analysis has various applications in engineering and construction, such as designing bridges, roofs, and towers. It is also used in the analysis of various machine and structural components, as well as in the assessment of the stability and strength of existing structures.

5. What are some common challenges in truss analysis?

Some common challenges in truss analysis include determining the correct loading conditions, ensuring the stability of the truss under different loading scenarios, and accounting for the effects of imperfections and uncertainties in the structure's geometry and material properties.

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