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Working Model - MAELabs UCSD

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WM52ProductGuide.fm Page 14 Tuesday, March 2, 2004 12:04 PM<br />

14<br />

Figure 6-3<br />

Dialog Provided by Flexbeam<br />

1. Select the rectangular body within your <strong>Working</strong> <strong>Model</strong> document<br />

which is to be modeled as a flexible beam.<br />

2. Choose Flexbeam from the Script menu.<br />

3. Enter the values for the structural stiffness of the beam (EI) and the<br />

number of elements (n) with which to model the beam.<br />

The structural stiffness can be chosen through either the highly stiff, minimally stiff,<br />

or custom option. The highly stiff and minimally stiff options provide a specified<br />

deflection for a load based on the weight of the beam. The highly stiff option specifies<br />

roughly a 3% deflection, while the minimally stiff option specifies roughly a<br />

10% deflection.<br />

The first input quantity, the structural stiffness, is the product of E, Young’s modulus<br />

of elasticity, and I, the area moment of inertia. I is a geometric property of the cross<br />

section of the beam and it is given by the equation:<br />

∫∫<br />

I y 2 = dA<br />

where dA is a differential element of area and y is the distance of dA from the centroid<br />

axis (see Figure 6-4 for an example). <strong>Working</strong> <strong>Model</strong> is unable to calculate I because<br />

it simulates in the xy plane, while the beam cross section lies on the yz plane.

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