How to Calculate the Restraining Force of Intersecting Bands?

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SUMMARY

The discussion focuses on calculating the restraining force of intersecting flat bands under a point force applied at their intersection. The key method involves determining the horizontal and vertical displacements (u and v) at the junction, calculating the changes in length of each band, and resolving the forces into their respective components. The net force on the junction is obtained by summing these components, which allows for a comprehensive understanding of the bands' capacity to withstand applied forces.

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  • Understanding of force/cm versus elongation relationships for flat bands
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  • Familiarity with basic mechanics of materials
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La82
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Hi Everyone,

Let say I know the force/cm versus elongation relationship for a flat band, and I combine this with the same type band in the perpendicular reaction (crossing each other). If I apply a point force in the middle of the intersection between the two points how do I calculate how much the bands could withstand?

I have calculated the tension in one band as it corresponds to an angular change due to a constant force, but am having trouble relating the two things to each other.

Hope someone can help me see the light!

Lonnie
 
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Let the horizontal and vertical displacements of the junction be u and v. Calculate the changes in length of the two bands. The force in each band will be oriented in the direction of that band (in the deformed geometry). Resolve each force into its horizontal and vertical components. Then sum the components to get the net force on the junction.
 

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