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PROBLEM 15.15
For the beam and loading shown, determine (a) the
equation of the elastic curve, (b) the slope at end A, (c) the
consent of McGraw-Hill Education.
PROBLEM 15.15 (Continued)
dy
3
0
1
dy w L
PROBLEM 15.16
For the beam and loading shown, determine (a) the equation of the
consent of McGraw-Hill Education.
PROBLEM 15.16 (Continued)
(a) Elastic curve.
24 5 6 42
02
1 1 11
24 30 120 24
w
y Lx Lx x Lx
EIL
=− −+−
(b) Deflection at x = L.
4
66 66
00
2
11 1 1
24 30 120 24 40
B
w wL
y LL LL EI
EIL
=− −+ − =−
4
0
40
BwL
yEI
= ↓
consent of McGraw-Hill Education.
[ 0, 0] [ , 0]
0, 0
= = = =
= =
x y x Ly
dy
xdx
PROBLEM 15.17
For the beam and loading shown, determine the reaction at the
roller support.
[ 0, 0] [ , 0]
,0
= = = =
= =
x y x Ly
dy
xL
dx
PROBLEM 15.18
For the beam and loading shown, determine the reaction at the
roller support.
[ 0, 0] [ , 0]
0, 0
x y x Ly
dy
xdx
= = = =
= =
PROBLEM 15.19
For the beam and loading shown, determine the reaction at
the roller support.
[ 0, 0] [ , 0]
,0
x y x Ly
dy
xL
dx
= = = =
= =
PROBLEM 15.20
For the beam and loading shown, determine the reaction at the roller
support.
PROBLEM 15.21
Determine the reaction at the roller support and draw the bending
consent of McGraw-Hill Education.
PROBLEM 15.15
For the beam and loading shown, determine (a) the
equation of the elastic curve, (b) the slope at end A, (c) the
consent of McGraw-Hill Education.
PROBLEM 15.15 (Continued)
dy
3
0
1
dy w L
PROBLEM 15.16
For the beam and loading shown, determine (a) the equation of the
consent of McGraw-Hill Education.
PROBLEM 15.16 (Continued)
(a) Elastic curve.
24 5 6 42
02
1 1 11
24 30 120 24
w
y Lx Lx x Lx
EIL
=− −+−
(b) Deflection at x = L.
4
66 66
00
2
11 1 1
24 30 120 24 40
B
w wL
y LL LL EI
EIL
=− −+ − =−
4
0
40
BwL
yEI
= ↓
consent of McGraw-Hill Education.
[ 0, 0] [ , 0]
0, 0
= = = =
= =
x y x Ly
dy
xdx
PROBLEM 15.17
For the beam and loading shown, determine the reaction at the
roller support.
[ 0, 0] [ , 0]
,0
= = = =
= =
x y x Ly
dy
xL
dx
PROBLEM 15.18
For the beam and loading shown, determine the reaction at the
roller support.
[ 0, 0] [ , 0]
0, 0
x y x Ly
dy
xdx
= = = =
= =
PROBLEM 15.19
For the beam and loading shown, determine the reaction at
the roller support.
[ 0, 0] [ , 0]
,0
x y x Ly
dy
xL
dx
= = = =
= =
PROBLEM 15.20
For the beam and loading shown, determine the reaction at the roller
support.
PROBLEM 15.21
Determine the reaction at the roller support and draw the bending
consent of McGraw-Hill Education.
