Question

The cantilever beam AC with length $L = 5$ m has elasticity modulus $E = 172$ GPa, cross-section with moment of inertia $I = 41 \times 10^{-6} m^2$ and supports a uniform distributed load of intensity $w = 8$ kN/m over half of its length and a couple moment $M_o = \frac{wL^2}{24}$ at the end C. y W $M_o = \frac{wL^2}{24}$ A ? B C x L/2 L/2 Matlab Mathematica Python w = 8; % kN/m L = 5; % m E = 172; % GPa Iz = 0.000041; % m^4 copy this text Determine the deflection $y_c$ at the tip of the beam (point C). y_c number (rtol=0.01, atol=1e-05) mm Determine the slope $\theta_c$ at the tip of the beam (point C). $\theta_c$ number (rtol=0.01, atol=1e-05) rad Note: You are encouraged to use the superposition method.

          The cantilever beam AC with length $L = 5$ m has elasticity modulus $E = 172$ GPa, cross-section with
moment of inertia $I = 41 \times 10^{-6} m^2$ and supports a uniform distributed load of intensity $w = 8$ kN/m
over half of its length and a couple moment $M_o = \frac{wL^2}{24}$ at the end C.

y
W
$M_o = \frac{wL^2}{24}$
A
?
B
C
x
L/2
L/2
Matlab Mathematica Python
w = 8; % kN/m
L = 5; % m
E = 172; % GPa
Iz = 0.000041; % m^4
copy this text
Determine the deflection $y_c$ at the tip of the beam (point C).
y_c
number (rtol=0.01, atol=1e-05)
mm
Determine the slope $\theta_c$ at the tip of the beam (point C).
$\theta_c$
number (rtol=0.01, atol=1e-05)
rad
Note: You are encouraged to use the superposition method.

The cantilever beam AC with length L = 5 m has elasticity modulus E = 172 GPa, cross-section with
moment of inertia I = 41 × 10^-6 m^2 and supports a uniform distributed load of intensity w = 8 kN/m
over half of its length and a couple moment Mo = (wL^2)/(24) at the end C.

y
W
Mo = (wL^2)/(24)
A
?
B
C
x
L/2
L/2
Matlab Mathematica Python
w = 8; % kN/m
L = 5; % m
E = 172; % GPa
Iz = 0.000041; % m^4
copy this text
Determine the deflection yc at the tip of the beam (point C).
yc
number (rtol=0.01, atol=1e-05)
mm
Determine the slope at the tip of the beam (point C).

number (rtol=0.01, atol=1e-05)
rad
Note: You are encouraged to use the superposition method.

Added by Timothy C.

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