Calculating Forces in a Concrete Slab Supported by a Chain

In summary, the conversation discusses a problem involving a 500-kg concrete slab supported by a chain and sling attached to a front-end loader. The force in cylinders CD and FH are being determined using the summation of Fy. However, it is noted that the weight of the slab cannot simply be split in half to determine the force on Pin D. The correct approach is to create a free body diagram starting at the bucket and working backwards to determine the forces at the pins connecting the cylinders to the arm.
  • #1
OmniNewton
105
5

Homework Statement


A 500-kg concrete slab is supported by a chain and sling attached to the bucket of the front-end loader shown. The action of the bucket is controlled by two identical mechanisms, only one of which is shown. Knowing that the mechanism shown supports half of the 500-kg slab, determine the force
(a) In cylinder CD,
(b) In cylinder FH.
EQ4HPbq.png

Homework Equations

The Attempt at a Solution


Using the summation of Fy

FDCsin26 - 2452.5 = 0
FDC = 5594.5
The correct answer for FDC is 7680 N compression
 
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  • #2
OmniNewton said:

Homework Statement


A 500-kg concrete slab is supported by a chain and sling attached to the bucket of the front-end loader shown. The action of the bucket is controlled by two identical mechanisms, only one of which is shown. Knowing that the mechanism shown supports half of the 500-kg slab, determine the force
(a) In cylinder CD,
(b) In cylinder FH.
EQ4HPbq.png

Homework Equations

The Attempt at a Solution


Using the summation of Fy

FDCsin26 - 2452.5 = 0
FDC = 5594.5
The correct answer for FDC is 7680 N compression

This is a complicated mechanism. You can't just split the weight in two and say that's the force on Pin D.

You've got to start making FBDs at the bucket and work your way back until you reach the pins connecting the cylinders to the arm.
 
  • #3
Is it not possible to dismantle the bucket leaving the 2 two force members and the weight of the slab. Now one knows the external forces of the bucket and can now calculate. Therefore the only forces in the y-direction are the weight of the slab and the component of FDC.
 
  • #4
OmniNewton said:
Is it not possible to dismantle the bucket leaving the 2 two force members and the weight of the slab. Now one knows the external forces of the bucket and can now calculate. Therefore the only forces in the y-direction are the weight of the slab and the component of FDC.
Not so. You can quickly deduce the tension in AB, for example.
 
  • #5
haruspex said:
Not so. You can quickly deduce the tension in AB, for example.
It would seem I am missing a force coming from Pin D. Sorry guys! Thanks for your help I determined my error!
 

Related to Calculating Forces in a Concrete Slab Supported by a Chain

1. What is the purpose of calculating forces in a concrete slab supported by a chain?

The purpose of calculating forces in a concrete slab supported by a chain is to determine the amount of force or load that the slab can support without causing it to crack or fail. This information is important for engineers and builders in order to ensure the structural integrity and safety of the building.

2. How do you calculate the forces in a concrete slab supported by a chain?

To calculate the forces in a concrete slab supported by a chain, you will need to use the principles of statics and the equations of equilibrium. This involves analyzing the forces acting on the slab, such as the weight of the slab, the weight of any objects on the slab, and the tension in the chain, and using equations to determine the balance of forces.

3. What factors affect the forces in a concrete slab supported by a chain?

The forces in a concrete slab supported by a chain can be affected by a variety of factors, including the weight of the slab, the weight of any objects on the slab, the type and strength of the concrete, the length and angle of the chain, and the strength and stability of the supports holding the chain in place.

4. What are some common mistakes to avoid when calculating forces in a concrete slab supported by a chain?

One common mistake to avoid when calculating forces in a concrete slab supported by a chain is failing to consider all of the forces acting on the slab, such as the weight of any objects on the slab. It is also important to use accurate and up-to-date information, such as the correct weight of the concrete and the strength of the chain, to ensure accurate calculations.

5. Why is it important to accurately calculate forces in a concrete slab supported by a chain?

Accurately calculating forces in a concrete slab supported by a chain is important for ensuring the safety and stability of the building. If the forces are not properly calculated, it could lead to structural failure and potential harm to occupants or damage to the building. It is also important for determining the appropriate materials and design for the slab and chain supports.

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