beam-analysis 2.1.1

Perform engineering analysis on a beam

beam_analysis

Perform engineering analysis on beams with diagrams for shear, moments, angle, and deflection

Usage

pip install beam-analysis

git clone https://github.com/XDwightsBeetsX/beam_analysis

Continuous development using twine

python setup.py sdist bdist_wheel
twine upload dist/* -u {SECRET :)} -p {SECRET :)}

Mechanical Requirements

• 2-D beams only
• All loads and reactions must be inputted (no solving)
• Boundary conditions currently required
  • must include one angle and one deflection condition
• Beam weight can be represented by a distributed load (not default)

Build Requirements

• Check the requirements.txt:
  • numpy
  • matplotlib

Samples

Modeling Cantilever Beam

# define beam parameters
E = 207 * 10**9
I = 2 * 10**-8
L = 1.0

# make the beam and add loads
B = Beam(L, E, I)
B.addPointLoad(0, 11)
B.addPointLoad(1, -10)
B.addAppliedMoment(0, 11*1.0)
B.addDistributedLoad(0, 1, -1.0)

# boundary conditions are required for angle and deflection analysis
B.addBoundaryCondition(0.0, "angle", 0.0)
B.addBoundaryCondition(0.0, "deflection", 0.0)

# run the analysis
B.analyze()

running...
E = 207000000000Pa
I = 2e-08m^4
L = 1.0m

**************************************** Analysis ****************************************
[BEAM_ANALYSIS] - [SINGULARITY] - running shear analysis: 11 + 0 + -1.0<x-0> + -10
[BEAM_ANALYSIS] - [SINGULARITY] - running moment analysis: 11<x-0> + 11.0 + (-1.0/2)<x-0>^2 + -10<x-1>
[BEAM_ANALYSIS] - [SINGULARITY] - running angle analysis: (11/2)<x-0>^2 + 11.0<x-0> + (-1.0/6)<x-0>^3 + (-10/2)<x-1>^2
[BEAM_ANALYSIS] - [SINGULARITY] - angle c1 found: 0.0
[BEAM_ANALYSIS] - [SINGULARITY] - running deflection analysis: (11/6)<x-0>^3 + (11.0/2)<x-0>^2 + (-1.0/24)<x-0>^4 + (-10/6)<x-1>^3
[BEAM_ANALYSIS] - [SINGULARITY] - deflection c1 found: 0.0
[BEAM_ANALYSIS] - [SINGULARITY] - deflection c2 found: 0.0
******************************************************************************************

REPORT:
Max shear:          11.0     [N]    @  0.0 [m]
Max moment:         21.5     [N-m]  @  1.0 [m]
Max angle:          -0.00395 [rad]  @  1.0 [m]
Max deflection:     -0.00176 [m]    @  1.0 [m]

Modeling 3-pt Bending Beam

# define beam parameters
E = 207 * 10**9
I = 2 * 10**-8
L = 1.0

# make the beam and add loads
B = Beam(L, E, I)
B.addPointLoad(0, 11)
B.addPointLoad(1, 11)
B.addPointLoad(0.5, -21)
B.addDistributedLoad(0, 1, -1.0)

# boundary conditions are required for angle and deflection analysis
B.addBoundaryCondition(0.5, "angle", 0.0)
B.addBoundaryCondition(0.0, "deflection", 0.0)

# run the analysis
B.analyze()

running...
E = 2.070e+04 [MPa]
I = 2.000e-08 [m^4]
L = 1.000 [m]

**************************************** Analysis ****************************************
[BEAM_ANALYSIS] - [SINGULARITY] - running shear analysis: 11 + -1.0<x-0> + -21 + 11
[BEAM_ANALYSIS] - [SINGULARITY] - running moment analysis: 11<x-0> + (-1.0/2)<x-0>^2 + -21<x-0.5> + 11<x-1>
[BEAM_ANALYSIS] - [SINGULARITY] - running angle analysis: (11/2)<x-0>^2 + (-1.0/6)<x-0>^3 + (-21/2)<x-0.5>^2 + (11/2)<x-1>^2
[BEAM_ANALYSIS] - [SINGULARITY] - angle c1 found: -1.3541666666666667
[BEAM_ANALYSIS] - [SINGULARITY] - running deflection analysis: (11/6)<x-0>^3 + (-1.0/24)<x-0>^4 + (-21/6)<x-0.5>^3 + (11/6)<x-1>^3
[BEAM_ANALYSIS] - [SINGULARITY] - deflection c1 found: -1.3541666666666667
[BEAM_ANALYSIS] - [SINGULARITY] - deflection c2 found: 0.0
******************************************************************************************

REPORT:
Max shear:          11.0     [N]    @    0.0 [m]
Max moment:         5.36974  [N-m]  @  0.499 [m]
Max angle:          -0.00033 [rad]  @    0.0 [m]
Max deflection:     -0.00011 [m]    @  0.499 [m]