Clamped beam, divided load up to middle

Use this calculator to determine deflection of a profile with second moment of inertia I, length l and Young's Modulus E under influence of divided load q.

Optionally x can be used to determine the deflection at a specific point along the axis of the profile.

νx νmax θmax l 2 l 2 q

\[ v_{max}=\dfrac {7ql^{4}} {384EI} \]

\[ \theta =\dfrac {ql^{3}} {48EI} \]

\[ v_{(x<=l/2)}=\dfrac {qx^{2}} {24EI} (x^{2}-2lx+1.5l^{2})\]

\[ v_{(x>=l/2)}=\dfrac {ql^{3}} {192EI} (4x-0.5 l)\]