Calculating Bearing Load for Linear Slides: Equation and Examples

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Discussion Overview

The discussion revolves around calculating the bearing load for a linear slide with two spaced bearings and an extended load. Participants seek to identify the appropriate equations and examples to apply in this context, focusing on static equilibrium and reaction forces.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant requests guidance on the equations needed to calculate bearing load and examples relevant to their problem.
  • Another participant suggests applying static equilibrium equations to determine the reaction forces R1 and R2.
  • A participant expresses uncertainty about applying the equations and mentions specific distances related to the bearings and load.
  • A different participant provides calculations for R1 and R2, presenting their method and results for feedback.
  • Another participant elaborates on the equilibrium equations, detailing the sum of forces and moments to derive the reaction forces, ultimately arriving at negative and positive values for R1 and R2.
  • One participant expresses gratitude for the assistance and indicates that they now understand the calculations better.

Areas of Agreement / Disagreement

The discussion includes multiple approaches to calculating the bearing load, with no consensus on a single method or solution. Participants present different calculations and interpretations of the equilibrium equations.

Contextual Notes

Participants reference specific distances and loads but do not clarify all assumptions or the definitions of terms used in their calculations. There is also a lack of agreement on the correctness of the calculated values for R1 and R2.

tomsdubs
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Homework Statement



Need to know the bearing load for a linear slide I'm working on, two spaced bearings with an extended load off the end of the slide.

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Homework Equations



What equation do I need to apply? What examples are out there?

The Attempt at a Solution

 
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You need to apply the equations of static equilibrium to determine R1 and R2.
 
I'm still not sure how to apply, I can't find any relevant examples. The two distances are 1.5m and 1m, bearing spread and mass extended.
 
R1 = 1/2.5*(30*1) = 12kg
R2 = 1/2.5*((30*2.5)+(30*1)) = 42kg

This is how I've done it, if anyone can give me some guidance that'd be great.
 
Use equilibrium equations

Lets assume both reactions (R1, R2) are facing upwards.

Now we do the sum of forces in the Y direction=0, where upwards is positive.

So, Sum of Fy=0: R1 + R2 - 30=0

Now let's take the sum of the moments at point 1 equal to zero, where anti-clockwise is positive.

So, Sum of M1=0: (1.5)(R2) -(2.5)(30)= 0
(1.5)(R2)=75
R2= 75/1.5
R2=50kg

Substituting in the 1st equation:

R1 + 50 -30 =0
R1 +20=0
R1= -20kg

So your reactions R1 and R2 are -20kg, 50kg respectively.
 
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Thanks I understand now, appreciate your help.
 

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