Calculating Reactions for Three Pinned Beams - Structural Engineering Homework

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In summary, the conversation is about finding the reactions at points A, B, and C for a series of pinned beams. The homework equations involve the sum of moments and forces, and the attempt at a solution involves solving equations to find the reactions. The individual is struggling with the question and asks for help with redoing the algebra to find the correct support reactions and internal forces.
  • #1
sukibelle
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Homework Statement



http://tinypic.com/r/2wbxm2s/7
This is a series of beams pinned together at A, B, C
Find reactions at a b c

Homework Equations



Sum of moments at B has to = 0, sum of Fx = 0, sum of Fy = 0

The Attempt at a Solution


Sum of moments about A, anti clockwise +ve
2(-16) + 8Cy -4Cx = 0

considering section BC
sum of momeents about B
4*-25 + 4Cy -8Cx= 0

solving ffor Cx = 61.33


I've been staring at this question all day, it has literally stopped making any sense.
 
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  • #3
sukibelle said:

Homework Statement



http://tinypic.com/r/2wbxm2s/7
This is a series of beams pinned together at A, B, C
Find reactions at a b c

Homework Equations



Sum of moments at B has to = 0, sum of Fx = 0, sum of Fy = 0

The Attempt at a Solution


Sum of moments about A, anti clockwise +ve
2(-16) + 8Cy -4Cx = 0

considering section BC
sum of momeents about B
4*-25 + 4Cy -8Cx= 0
These equations are both correct
solving ffor Cx = 61.33
You didn't solve the 2 equations correctly.
I've been staring at this question all day, it has literally stopped making any sense.

Redo the algebra. Cx will come out negative , meaning you assumed the wrong direction for Cx. After finding Cy from these equations, use the other relevant equilibrium equations to solve for the support reactions Ax and Ay, and the internal forces Bx and By at B.
 

FAQ: Calculating Reactions for Three Pinned Beams - Structural Engineering Homework

1. What is a three pinned arch/beam?

A three pinned arch/beam is a structural element that consists of three supports or pins at each end. These pins allow the arch/beam to move and rotate, making it a statically indeterminate structure.

2. How does a three pinned arch/beam work?

A three pinned arch/beam works by distributing the load or weight placed on it to the three pins or supports at each end. This allows for the structure to remain stable and resist external forces.

3. What are the advantages of using a three pinned arch/beam?

One advantage of using a three pinned arch/beam is its ability to distribute the load evenly, reducing stress on any one point. It also allows for more flexibility in design and can withstand large amounts of weight.

4. What are some common applications of a three pinned arch/beam?

A three pinned arch/beam is commonly used in bridge construction, as it can span large distances and resist heavy loads. It is also used in buildings, such as domes and roofs, as well as in cranes and other structures that require high levels of stability and strength.

5. What are the limitations of a three pinned arch/beam?

One limitation of a three pinned arch/beam is that it cannot resist lateral forces, such as wind or earthquakes, as well as a fixed or hinged arch/beam. It also requires precise engineering and construction to ensure the pins and joints are able to withstand the load and forces placed on the structure.

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