Notations and units:

= Deflection, = Slope, = Modulus of elasticity/youngs modulus, = Area moment of inertia

Units of the notations are in SI units.

**1) CANTILEVER BEAM**

Cantilever beam with point load at free end:

At free end :

At fixed end : Maximum bending moment = PL

Cantilever beam with uniformly distributed load:

At free end :

At free end :

Maximum bending moment = at fixed end

Cantilever beam with one point load acting in between the ends:

At free end :

Cantilever beam with moment acting at the free end:

At free end :

At free end :

**2) SIMPLY SUPPORTED BEAM**

Simply supported beam with point load at centre:

at centre

Maximum bending moment = at centre

Simply supported beam with uniformly distributed load:

at centre

Maximum bending moment =

Simply supported beam with only point load:

At point load :

Maximum bending moment =

Simply supported beam with two moments at each end:

At centre :

Simply supported beam with moment at centre:

Maximum bending moment =

**2) FIXED BEAM**

Fixed beam with point load at centre:

At point load :

Fixed beam with uniformly distributed load:

Fixed beam with only point load:

At point load :