Simply Supported Beam - Shear, Bending Moment, Displacement, Rotation, Frequecy

Simply Supported Beam

Compiling the form below, it is possible to calculate max bending moment, shear, maximum displacement, rotation and frequency of a simply supported beam with distributed uniform load

Input

Output Results

$$V = \frac{q \cdot L}{2} = $$		Max shear force on beam near support
$$M = \frac{1}{8} \cdot q \cdot L^2 = $$		Max bending moment in mid-span
$$f = 5/384 q L^4 / (EJ) =$$		Max displacement in mid-span
$$\phi = $$	rad	Max rotation near supports
$$freq = $$	Hz	Frequency of beam

$$q = $$		ex. \( N/m, N/mm \) etc.
$$L = $$		Span length ex. in \( mm, m, ft, in \) etc.
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$$ E = $$		Young Modulus (ex. Steel \( 200-210 GPa\) )
$$ J $$		Second Moment area ex. in \( m^4, mm^4, in^4, ft^4 \) etc.
$$ a_g $$		Ground acceleration ex. in \( m/s^2, mm/s^2, \) etc.