concentrated loads P. A horizontal beam A B of length L is supported by a fixed support at its left end A and a horizontal roller support at its right end B. A point load P acts downwards at a distance a to the right of A and another

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Consider the figure below, depicting a simple beam AB supporting two equal concentrated loads P.
A horizontal beam A B of length L is supported by a fixed support at its left end A and a horizontal roller support at its right end B. A point load P acts downwards at a distance a to the right of A and another point load P acts downward at a distance a to the left of B.
*Inserted Photo*
(Use the deformation sign convention. When entering expressions, use the following as necessary: PL, and a.)
Now assume the left-hand load is upward and the right-hand load is downward. With this assumption, draw the shear-force diagram.
V(X)
V( x)
Vmax
Vmax
a
L-a
L.
O'min
L-a
V X)
VX)
Vmax
Vmax
a
Lta
Lta
L
O'min
OVmin
State expressions for the minimum and maximum values of V(x) for this diagram.
Vmin
V
max
Continuing with this assumption, draw the bending-moment diagram.
M(x)
M(X)
Мmax
Mmax|
a
L-a
L.
OMmin
L-a
a
M(X)
M(x)
Mmax
Mmax
X
Lta
L.
Lta
L
a
OMmin
O Mmin
State expressions for the minimum and maximum values of M(x) for this diagram.
M.
'min
M.
max
Transcribed Image Text:Now assume the left-hand load is upward and the right-hand load is downward. With this assumption, draw the shear-force diagram. V(X) V( x) Vmax Vmax a L-a L. O'min L-a V X) VX) Vmax Vmax a Lta Lta L O'min OVmin State expressions for the minimum and maximum values of V(x) for this diagram. Vmin V max Continuing with this assumption, draw the bending-moment diagram. M(x) M(X) Мmax Mmax| a L-a L. OMmin L-a a M(X) M(x) Mmax Mmax X Lta L. Lta L a OMmin O Mmin State expressions for the minimum and maximum values of M(x) for this diagram. M. 'min M. max
A
B
Transcribed Image Text:A B
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