3.1 Use differential calculus techniques to solve function which incorporate ax", sinax, cosax, loge, eax and methods including function of a function A) Differential calculus techniques to solve function which incorporate ax" In a simply supported beam (Fig. 5) the deflection curve is given by Ely O dy a) Calculate slope of the elastic deflection curve; e = dx b) Determine the bending moment along the beam; Mx = Eld²y c) Find the shear force equation; V y(x) wl wx4 w1³ 24 24 1243- Fig. 5 dM dx Slope (x) of tangent to the elastic curve. 10(x)

Structural Analysis
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ISBN:9781337630931
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Chapter2: Loads On Structures
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3.1 Use differential calculus techniques to solve function which incorporate ax", sinax, cosax, loge, ex
and methods including function of a function
A) Differential calculus techniques to solve function which incorporate ax"
In a simply supported beam (Fig. 5) the deflection curve is given by
Ely
O
dy
a) Calculate slope of the elastic deflection curve; e = dx
b) Determine the bending moment along the beam; M₁ = EI d²y
Mx
dx²
c) Find the shear force equation; V
y(x)
wl wx4 wl³
12x³24 24
Fig. 5
dM
dx
Slope (x) of tangent to the
elastic curve.
0(x)
Transcribed Image Text:3.1 Use differential calculus techniques to solve function which incorporate ax", sinax, cosax, loge, ex and methods including function of a function A) Differential calculus techniques to solve function which incorporate ax" In a simply supported beam (Fig. 5) the deflection curve is given by Ely O dy a) Calculate slope of the elastic deflection curve; e = dx b) Determine the bending moment along the beam; M₁ = EI d²y Mx dx² c) Find the shear force equation; V y(x) wl wx4 wl³ 12x³24 24 Fig. 5 dM dx Slope (x) of tangent to the elastic curve. 0(x)
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