UVL Load Analysis by Equal Triangle Method using Ansys Mechanical APDL
Uniformly Varying Load:
A load that is spread over a beam in such a manner that the rate of loading uniformly varies from point to point along the beam. The load is zero at one end and increases uniformly to the other end. It is also called das triangular load.
Note:
For solving problems on this, the total load is assumed to be acting at a distance of 2/3 of the total length of the load from the zero ends (in fig left end) or 1/3 of the total length of the load from the maximum load end (in fig right end).
Problem Image:
Equal Triangle Method: We divide the beam into 10 elements
(8/W)
= (1000/X)
W - Individual portion vertical downwards loads
x - Individual element length
Here below Load at 10 elements
X1 = 100 -- W1 = (8/1000) * 100 = 0.8
X2 = 200 -- W1 = (8/1000) * 200 = 1.6
X3 = 300 -- W1 = (8/1000) * 300 = 2.4
X4 = 400 -- W1 = (8/1000) * 400 = 3.2
X5 = 500 -- W1 = (8/1000) * 500 = 4.0
X6 = 600 -- W1 = (8/1000) * 600 = 4.8
X7 = 700 -- W1 = (8/1000) * 700 = 5.6
X8 = 800 -- W1 = (8/1000) * 800 = 6.4
X9 = 900 -- W1 = (8/1000) * 900 = 7.2
X10 = 1000 -- W1 = (8/1000) * 1000 = 8
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