Class BeamDeflection

java.lang.Object

org.episteme.natural.engineering.mechanics.BeamDeflection

public class BeamDeflection
extends Object

Beam deflection calculations. Modernized to use high-precision Real and typed Quantities.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
static Quantity<Length>	cantilever_EndLoad(Quantity<Force> load, Quantity<Length> length, Quantity<Pressure> elasticModulus, Real momentOfInertia)	Maximum deflection for cantilever beam with end load.
static Real	circleMomentOfInertia(Quantity<Length> radius)	Circular cross-section moment of inertia.
static Real	rectangleMomentOfInertia(Quantity<Length> width, Quantity<Length> height)	Rectangle moment of inertia.
static Quantity<Length>	simplySupported_CenterLoad(Quantity<Force> load, Quantity<Length> length, Quantity<Pressure> elasticModulus, Real momentOfInertia)	Maximum deflection for simply supported beam with center point load.
static Quantity<Length>	simplySupported_UniformLoad(Real loadPerMeter, Quantity<Length> length, Quantity<Pressure> elasticModulus, Real momentOfInertia)	Simply supported beam with uniformly distributed load.

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

simplySupported_CenterLoad

public static Quantity<Length> simplySupported_CenterLoad(Quantity<Force> load,
 Quantity<Length> length,
 Quantity<Pressure> elasticModulus,
 Real momentOfInertia)

Maximum deflection for simply supported beam with center point load. δ_max = P * L³ / (48 * E * I)

Parameters:

load - Point load (N)

length - Beam length (m)

elasticModulus - Young's modulus E

momentOfInertia - Second moment of area I (m⁴)

Returns:

Maximum deflection

cantilever_EndLoad

public static Quantity<Length> cantilever_EndLoad(Quantity<Force> load,
 Quantity<Length> length,
 Quantity<Pressure> elasticModulus,
 Real momentOfInertia)

Maximum deflection for cantilever beam with end load. δ_max = P * L³ / (3 * E * I)

simplySupported_UniformLoad

public static Quantity<Length> simplySupported_UniformLoad(Real loadPerMeter,
 Quantity<Length> length,
 Quantity<Pressure> elasticModulus,
 Real momentOfInertia)

Simply supported beam with uniformly distributed load. δ_max = 5 * w * L⁴ / (384 * E * I)

Parameters:

loadPerMeter - Distributed load (N/m) - here passed as Force/Length usually, or just N/m Real. Using Force/Length is clearer, but for now we take Force (total?) or N/m? Code implies w is N/m. Quantity divided by Quantity is ForcePerLength. For simplicity, we take Real (N/m) or Quantity per meter? Let's use Quantity and divide by meter unit implicitly? No, w is load PER meter. Let's use Real for loadVal (N/m).

rectangleMomentOfInertia

public static Real rectangleMomentOfInertia(Quantity<Length> width,
 Quantity<Length> height)

Rectangle moment of inertia. I = b * h³ / 12

circleMomentOfInertia

public static Real circleMomentOfInertia(Quantity<Length> radius)

Circular cross-section moment of inertia. I = π * r⁴ / 4