Calculating Forces in a Concrete Slab Supported by a Chain

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Homework Help Overview

The discussion revolves around calculating the forces in a concrete slab supported by a chain and sling attached to a front-end loader's bucket. The problem involves understanding the mechanics of the system, particularly focusing on the forces in cylinders CD and FH, given the weight of the slab and the configuration of the supporting mechanisms.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the necessity of creating free body diagrams (FBDs) to analyze the forces acting on the system rather than simply splitting the weight of the slab. There are questions about the forces in the y-direction and the implications of dismantling the bucket for analysis.

Discussion Status

The discussion is active, with participants exploring various interpretations of the problem. Some have offered insights into the need for detailed force analysis, while others reflect on their understanding of the forces involved. There is acknowledgment of errors in reasoning, indicating a productive exchange of ideas.

Contextual Notes

Participants note the complexity of the mechanism and the importance of considering all forces, including those at the pins connecting the cylinders. There is a mention of the weight of the slab and the external forces acting on the bucket, which are central to the analysis.

OmniNewton
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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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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.
 
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.
 
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.
 
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!
 

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