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Bike Crank - Panel
Bike Crank - Panel

Pre-Analysis & Start-Up

Pre-Analysis

In the pre-analysis step, we review the:

  • Mathematical model

  • Numerical solution strategy

  • Hand calculations of expected results

Governing Equations

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<iframe width="600" height="338" src="https://www.youtube.com/embed/3cfpUkFBQmo" frameborder="0" allowfullscreen></iframe>

 

Additional Equations

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<iframe width="600" height="338" src="https://www.youtube.com/embed/4VIPUbNPB6k" frameborder="0" allowfullscreen></iframe>


Traction at the Boundary

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<iframe width="600" height="338" src="https://www.youtube.com/embed/msozB3MWfXs" frameborder="0" allowfullscreen></iframe>

 

Boundary Conditions

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<iframe width="600" height="338" src="https://www.youtube.com/embed/0_fOFRojrwg" frameborder="0" allowfullscreen></iframe>

 

Numerical Solution Strategy

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<iframe width="600" height="338" src="https://www.youtube.com/embed/H6VquoWcAfI" frameborder="0" allowfullscreen></iframe>

 

Hand Calculations

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{include: ANSYS Google Analytics}
{include: Bike Crank - Panel}

h1. Pre-Analysis & Start-Up


h2.

h2. Pre-Analysis


h3. Total Deformation

The first back-of-the envoloppe calculation that we will make is for the total deformation of the crank under the specified applied load. From euler-bernoulli beam theory, we know that the maximum deflection for a cantilevered beam, with the load applied at the end point, is
{latex}
\begin{equation*}
-\frac{PL^{3}}{3EI}
\end{equation*}
{latex}

where P is the load, L is the distance from the support to the load, E is Young's Modulus and I is the moment of inertia.

[!Screen Shot 2014-06-13 at 1.28.46 PM.png|width=450!|^Screen Shot 2014-06-13 at 1.28.46 PM.png]

h3. {latex}$\sigma_x${latex} along the height of the cross-section


{note}Under Construction{note}


h2. Start-Up


h3.

The following video shows how to launch ANSYS Workbench and choose the appropriate analysis system (which, under the hood, sets the governing equations that one will be solving). The video also shows how to add a new material to the material list for this project. We'll later assign our material to the model in the [Physics Setup|Bike Crank - Physics Setup] step.
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[*Go to Step 2: Geometry*|Bike Crank - Geometry]

[Go to all ANSYS Learning Modules|ANSYS Learning Modules]\\
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Check Your Understanding

Which one of the following assumptions is contained in the strain-displacement relations in the mathematical model that we will solve using ANSYS? (See edX module for answer)

a. Acceleration at any point in the structure is zero

b. Material is in the elastic range

c. Material is isotropic

d. Strains are small

e. All of the above


Go to Step 2: Geometry

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