8.17 : Bearings: Problem Solving

384 views

Understanding the calculations and concepts related to double-collar bearings is essential for engineers and designers to optimize the performance of these components in various applications. By analyzing the bearing under different conditions, one can ensure that it can withstand the forces and moments experienced during operation. This knowledge enables better decision-making when designing and selecting bearings for specific purposes and configurations. Consider a double-collar bearing with specific dimensions and an axial force applied to it.

Leverage diagram: Demonstrates torque with applied force F, arms A and B.

To find the maximum frictional moment that the double-collar bearing can withstand, the following expression can be used:

Static equilibrium equation M=2/3μsFA(r³A−r³)/(r²A−r²)+2/3μsFB(r³B−r³)/(r²B−r²).

The maximum frictional moment can be calculated by rearranging the expression and substituting the values of the forces supported by both collars.

Consider a scenario where the applied axial force on the double-collar bearing increases. To determine the minimum torque needed to overcome the friction, first calculate the moment for both collars caused by the frictional forces using the frictional moment equations and substituting the values.

Static equilibrium formula: \(M_A=\frac{2}{3}μ_sF_A(\frac{r_A^3-r^3}{r_A^2-r^2})\) for force analysis.

Static equilibrium equation, \(M_B=\frac{2}{3}\mu_sF_B\left(\frac{r_B^3-r^3}{r_B^2-r^2}\right)\), formula.

Next, equate the sum of moments about the z-axis to zero and substitute the known values. The required minimum torque to overcome the friction in the modified configuration can be evaluated.

Static equilibrium equation ΣMz=0; formula diagram for educational use.

Tags

BearingsDouble collar BearingsFrictional MomentAxial ForceTorque CalculationMoment AnalysisPerformance OptimizationEngineering DesignFrictional ForcesDecision making

From Chapter 8:

Now Playing

8.17 : Bearings: Problem Solving

Friction

384 Views

8.1 : Dry Friction

Friction

643 Views

8.2 : Static Friction

Friction

1.1K Views

8.3 : Kinetic Friction

Friction

1.2K Views

8.4 : Characteristics of Dry Friction

Friction

808 Views

8.5 : Types of Friction Problems

Friction

758 Views

8.6 : Friction: Problem Solving

Friction

358 Views

8.7 : Wedges

Friction

1.4K Views

8.8 : Frictional Forces on Screws

Friction

1.4K Views

8.9 : Upward Impending Motion

Friction

441 Views

8.10 : Self-Locking Screw

Friction

2.0K Views

8.11 : Screw: Problem Solving

Friction

535 Views

8.12 : Frictional Forces on Flat Belts

Friction

1.2K Views

8.13 : Flat Belts: Problem Solving

Friction

588 Views

8.14 : Pivot Bearings

Friction

1.7K Views

See More