Problem 9.7-7 The tapered cantilever beam AB shown in the figure has thin-walled, hollow circular cross sections of constant thickness t. The diameters at the ends A and B are d and dg = 2da, respectively. Thus, the diameter d and moment of inertia I at distance x from the free end are, respectively, da dg= 2da d = * (L + x) L d (L + x)³ 8L3 (L + x)3 8 L in which I, is the moment of inertia at end A of the beam. Determine the equation of the deflection curve and the deflection 8 , at the free end of the beam due to the load P.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem 9.7-7 The tapered cantilever beam AB shown in the
figure has thin-walled, hollow circular cross sections of constant
thickness t. The diameters at the ends A and B are da and
dg = 2da, respectively. Thus, the diameter d and moment of
inertia I at distance x from the free end are, respectively,
B
da
da
dg = 2da
d =
(L + x)
L
d
X-
(L + x)³
8L3
(L + x)3
L3
8
L
in which I, is the moment of inertia at end A of the beam.
Determine the equation of the deflection curve and the
deflection 8, at the free end of the beam due to the load P.
Transcribed Image Text:Problem 9.7-7 The tapered cantilever beam AB shown in the figure has thin-walled, hollow circular cross sections of constant thickness t. The diameters at the ends A and B are da and dg = 2da, respectively. Thus, the diameter d and moment of inertia I at distance x from the free end are, respectively, B da da dg = 2da d = (L + x) L d X- (L + x)³ 8L3 (L + x)3 L3 8 L in which I, is the moment of inertia at end A of the beam. Determine the equation of the deflection curve and the deflection 8, at the free end of the beam due to the load P.
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