A uniformly loaded propped cantilever beam and its free

A uniformly loaded propped cantilever beam and its free body diagram are shown below. The reactions are

R₁ + R₂ = ql ...(i)
Moment about (1),

R₂l +	ql²	− M ...(ii)
	6

Moment about (2),

R₁l −	ql²	− M ...(iii)
	6

From (i), (ii), (iii), we get

R₁ =	5ql	,R₂ =	3ql	and M =	ql²
	8		8		8

R₁ =	5qL	R₂ =	3qL	,M =	qL²
	8		8		8

R₁ =	3qL	,R₂ =	5qL	,M =	qL²
	8		8		8

R₁ =	5qL	,R₂ =	3qL	,M = 0
	8		8

R₁ =	3qL	,R₂ =	5qL	,M = 0
	8		8