Statically indeterminant problem

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Discussion Overview

The discussion revolves around a statically indeterminate problem involving a brake caliper, specifically analyzing the forces acting on it as represented in a free body diagram. Participants explore methods to resolve forces and moments to find unknown values related to the system.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses uncertainty about determining values for h1 and h2, suggesting that the problem is statically indeterminate and seeks alternative methods for resolution.
  • Another participant suggests that the discussion may be better suited for the homework help section and recommends summing moments about point A to find reactions.
  • A different participant emphasizes the need for two equations to solve for the two unknowns, advising against summing moments about points A or B as it would eliminate h1 and h2.
  • One participant claims to have summed moments about point A and found that the resultant does not go through that point, allowing them to derive values for V2 and subsequently V1, while assuming the brake caliper is a rigid body.
  • This same participant later revises their approach, indicating a shift from treating the caliper as an open triangle truss to considering it as a solid piece.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best method to resolve the problem, with multiple competing views on how to approach the calculations and differing assumptions about the nature of the brake caliper.

Contextual Notes

There are unresolved assumptions regarding the nature of the forces and the geometry of the brake caliper, as well as the implications of treating it as a rigid body versus an open triangle truss.

oakley45
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Hello

I wonder if anyone can help/guide me with a problem i have, the figure below shows a free body diagram of a brake caliper, the force on the body acts at 30 degrees from the horizontal at point C, I resolved this to get the two forces shown in the x and y direction.

http://www.volkstorque.co.uk/vt/imagehosting/676474d6a22acc4e.jpg

I have determined the values for v1 and v2 but i cannot decide how to get the values for h1 and h2, they cannot be the same due to the direction of the force. The problem appears to be statically indeterminant so is there another way i could solve this problem?
Any suggestions appreciated
 
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This probably should be placed in the homework help section. Your original resultant force appears to go through point A (ie. try summing moments about point A to start finding reactions).
 
You definitely have a situation where you'll need two equations to get the two unknowns. You can sum the B direction and sum moments about some point other than the three points on the triangle. You can't sum about A or B because that will eliminate H1 and H2. You can't sum about C because that eliminates the other forces.

Is there anything with other boundary conditions that you could use to eliminate some variables?
 
I summed moments about A and the resultant of the components shown doesn't go through point A so you can get V2 and therefore V1. I just solved the rest of it with what he gave assuming a RIGID BODY, using superposition and the geometry given. The additional equation is that H1=H2 for each superposition. I assumed the "brake caliper" is a solid, rigid triangle. The first time I did it
I treated it like an open triangle truss but now I think the "brake caliper" is supposed to be a solid piece.
 
Last edited:

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