Solving Beams with Triangular Loads - Why the Third Point?”

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The discussion focuses on understanding the application of net force for triangular loads on beams in mechanics. The key point is that the resultant force acts at one-third of the triangle's base due to the center of gravity of the triangular load. This location is derived from the need to balance the areas or weights of the divided sections of the triangle. The explanation emphasizes that dividing the triangle into equal areas rather than equal lengths is crucial for accurate calculations. Understanding this concept is essential for solving beam problems involving triangular loads effectively.
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Hi. I can't understand one thing in mechanics.

I am trying to learn how to solve beams in mchanics.

I have a triangular load (a load which changes constantly). Why is the point of application of the net force in the one third of the triangle's base?

While dividing a right triangle into 3 parts, we don't get two equal fields...

Thanx
 
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remi_c said:
Hi. I can't understand one thing in mechanics.

I am trying to learn how to solve beams in mchanics.

I have a triangular load (a load which changes constantly). Why is the point of application of the net force in the one third of the triangle's base?

While dividing a right triangle into 3 parts, we don't get two equal fields...

Thanx
You are dividing the triangle into two parts equal in area, or equal in weight. This location of the resultant at 1/3 the distance from the fat end is the center of gravity of the triangular load, which you can calculate as a good exercise.
 
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