Question

The cantilever beam has length 2L where L = 7 m, elasticity modulus E = 247 GPa, and cross-section with moment of inertia $I = 49 \times 10^{-6} m^2$. A force $P = 10$ kN and a couple moment $M = 13$ kN.m are applied at midpoint as indicated below. y P L Matlab Mathematica Python P = 10; % KN M = 13; % kN.m L = 7; % m E = 247; % GPa Iz = 0.000049; % m^4 copy this text M L x Obtain an expression for the deflection curve $y(x)$ in each of the intervals below. You need to write the numeric coefficients of the equations. Note that $x$ is given in meters [m]. $0 < x < L$: $y_1(x) = $ numbe + numbe $x$ + numbe $x^2$ + numbe $x^3$ + numbe $x^4$ [m] $L < x < 2L$: $y_2(x) = $ numbe + numbe $x$ + numbe $x^2$ + numbe $x^3$ + numbe $x^4$ [m]

          The cantilever beam has length 2L where L = 7 m, elasticity modulus E = 247 GPa, and cross-section with moment of inertia $I = 49 \times 10^{-6} m^2$. A force $P = 10$ kN and a couple moment $M = 13$ kN.m are applied at midpoint as indicated below.
y
P
L
Matlab
Mathematica
Python
P = 10; % KN
M = 13; % kN.m
L = 7; % m
E = 247; % GPa
Iz = 0.000049; % m^4
copy this text
M
L
x
Obtain an expression for the deflection curve $y(x)$ in each of the intervals below. You need to write the numeric coefficients of the equations. Note that $x$ is given in meters [m].
$0 < x < L$:
$y_1(x) = $ numbe + numbe $x$ + numbe $x^2$ + numbe $x^3$ + numbe $x^4$ [m]
$L < x < 2L$:
$y_2(x) = $ numbe + numbe $x$ + numbe $x^2$ + numbe $x^3$ + numbe $x^4$ [m]

The cantilever beam has length 2L where L = 7 m, elasticity modulus E = 247 GPa, and cross-section with moment of inertia I = 49 × 10^-6 m^2. A force P = 10 kN and a couple moment M = 13 kN.m are applied at midpoint as indicated below.
y
P
L
Matlab
Mathematica
Python
P = 10; % KN
M = 13; % kN.m
L = 7; % m
E = 247; % GPa
Iz = 0.000049; % m^4
copy this text
M
L
x
Obtain an expression for the deflection curve y(x) in each of the intervals below. You need to write the numeric coefficients of the equations. Note that x is given in meters [m].
0 < x < L:
y1(x) = numbe + numbe x + numbe x^2 + numbe x^3 + numbe x^4 [m]
L < x < 2L:
y2(x) = numbe + numbe x + numbe x^2 + numbe x^3 + numbe x^4 [m]

Added by Troy W.

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