/// <summary>
/// Calculate the maximum bending moment (about the major axis).
/// Requires UDL and Length.
/// </summary>
/// <returns></returns>
public double MaxMoment(ICalculationLog log = null)
{
// M = wl²/8
log?.Symbol("Moment").Write(" = ").Symbol("UDL").Symbol("Span").Superscript("2").WriteLine("/8");
return(UDL * Span.Squared() / 8);
}
/// <summary>
/// Calculate the bending moment at a position along the beam.
/// Requires UDL and Length.
/// </summary>
/// <param name="x">The position along the beam, as a distance from
/// the start (in m).</param>
/// <returns></returns>
public double MomentAt(double x, ICalculationLog log = null)
{
// Mx = (wx/2)(l - x)
log?.Write("(").Symbol("UDL").Symbol("x").Write("/2)(").Symbol("Span").Write("-").Symbol("x").WriteLine(")");
return((UDL * x / 2) * (Span - x));
}
/// <summary>
/// Calculate value of K
/// </summary>
/// <param name="M">The design moments, in Nm</param>
/// <param name="b">The bredth of section, in m</param>
/// <param name="d">The depth of section, in m</param>
/// <param name="fck">The cylinder strength of the concrete, in MPa</param>
/// <returns></returns>
public static double CalculateK(double M, double b, double d, double fck, ICalculationLog log = null)
{
// K = M/(bd²fck)
log.Write("{K} = {M}/({b}{d}²{fck}");
return(M / (b * d * d * fck));
}