2. Draw shear force and bending moment diagrams for the beam shown in figure 50 kN/m 20 kN/m D B 2 m 2 m 2 m - | KA Ro Hello sir, please the

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Chapter6: Stresses In Beams (advanced Topics)
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2. Draw shear force and bending moment diagrams for the beam shown in figure.
50 kN/m
20 kN/m
2 m
2 m
-
2 m
Ro
Hello sir, please the
same source as the
question solution.
3. Relation between load, shear and moment:
The free body diagram
wdx
:-
%3!
W (N/m)
严
of segment of this beam
of length (dx) is shown
M+4M
but wdx is the summation of area between (x, and x2)
in figure (2).
V+av
..V, -V, = AV = (area) nad
RI
%3!
similarly
M2
(1)
(2)
( dM = Vdx
EF, =0= V +wdx-(V+dV)%3D0
w ------- Intensity of load (N/m)
. dV =wdx
M1
M, - M, = AM = (area ) hm
%3!
dx
M, =0= M+Vdx + (wdx)-(M + dM) =0
shear
AP
. W =-
(dr)?
dx
(slope of shear diagram)
Where:
:ero
2
.. dM Vdx
dM
:.V =
dx
(slope of moment diagram)
for (dV = wdx )
we can integrating
Transcribed Image Text:2. Draw shear force and bending moment diagrams for the beam shown in figure. 50 kN/m 20 kN/m 2 m 2 m - 2 m Ro Hello sir, please the same source as the question solution. 3. Relation between load, shear and moment: The free body diagram wdx :- %3! W (N/m) 严 of segment of this beam of length (dx) is shown M+4M but wdx is the summation of area between (x, and x2) in figure (2). V+av ..V, -V, = AV = (area) nad RI %3! similarly M2 (1) (2) ( dM = Vdx EF, =0= V +wdx-(V+dV)%3D0 w ------- Intensity of load (N/m) . dV =wdx M1 M, - M, = AM = (area ) hm %3! dx M, =0= M+Vdx + (wdx)-(M + dM) =0 shear AP . W =- (dr)? dx (slope of shear diagram) Where: :ero 2 .. dM Vdx dM :.V = dx (slope of moment diagram) for (dV = wdx ) we can integrating
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