Response due to Uniform Load
Response due to uniform load is equal to the intensity of load
multiplied by the area of ILD under the load.
Consider a beam of span 5m shown in figure 2 and loaded with a 3 m
long uniform load of intensity 7 kN/m as shown.
The value of reaction at B due to this uniform load =
(intensity of uniform load) x (area of ILD between C and D).
area of ILD between C and D = area of trapezium
=0.5(ordinate at C+ordinate at D) x
(length of uniform load)
= 0.5 (2/7 + 5/7) (3) = 0.5 (7/7) (3) = 1.5
therefore, Reaction at B = (7) (1.5) = 10.5 kN
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