Question
Download Solution PDFCalculate the slope at free end of a cantilever beam of length l = 5 m subjected to a uniformly varying load with intensity varying from 0 kN/m (at B) to 20 kN/m (at A) as shown in figure. Consider that the flexural rigidity (EI) of the beam as constant throughout its length.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation
SFD AND BMD OF CANTILEVER BEAM carrying UVL.
slope = area of BM/EI
deflection = area of bending moment * centroid distance / EI
Area of 3 degree parabola = bh/4
Given
L = 5m
Wo = 20 kN/m
Calculation
b = 5 , h = WoL2/6 = (20 x 52)/6 = 83.33 KNm
Area of 3 degree parabola = bh/4 = (5 x 83.33)/4 = 104.162
slope = (area of BM)/EI
slopeB = 104.162/EI (Ans)
Last updated on Jul 1, 2025
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