Leet Ch05 01-63
Transcript of Leet Ch05 01-63
5-5
Copyright © 2018 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
For 4 ft < x < 13 ft
2
0 ( ) 10 5
( ) 5 10 kips
(13) 55 kips
( ) 52
5( ) +
Σ
Σ 0
10( 4) 40 kip2
(13) 332.5 ki
10( 4)
ft
ftp
y
C
C
z
V x x
V x x
V VxM x x
M x x x
M M
F
M x
= =- + -
=- +
= =-æ ö÷ç- - ÷ç ÷ç ÷è ø
=
= = + -
- -
= =- ⋅
- ⋅
P5.4. Write the equations for shear V and
moment M between points B and C. Take the
origin at point A. Evaluate V and M at point C
using the equations. B
AC D
w = 5 kips/ft
P = 10 kips
4ʹ9ʹ4ʹ
P5.4
5 kips/ft
B
x
10 kips4 ft
AM(x)
V(x)
z
5-23
Copyright © 2018 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
FBD “AB”
2
2
/1 2
/1
5 (20 )Σ 0; 12 (20 ) (20 ) 0
2
62
Σ 0; (20 ) 62 12 0
50
kk
A B
kB
k k ky y
ky
M V
V
F A F
A
+
+
¢ ¢ ¢= + - =
=
¢ = - + - =
=
FBD “BCD”
/1 25 (30 )Σ 0; 62 (30 ) (24 ) 0
2
171.25
Σ 0; 62 5 (30 ) 171.25 0
40.75
kk
D y
ky
k k ky y
ky
M C
C
F C
D
+
+
¢¢ ¢= - - + =
= ¢ = - - + + =
=
P5.21. For each beam, draw the shear and
moment curves label the maximum values
of shear and moment, locate points of inflection,
and sketch the deflected shape.
P = 12 kips
w = 5 kips/ft
B C DA
20ʹ 24ʹ6ʹ
hinge
P5.21
5-49
Copyright © 2018 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
P5.47. For the frame in Figure P5.47, draw the
shear and moment curves for all members. Next
sketch the deflected shape of the frame. Show
all forces acting on a free-body diagram of
joint C.
A
B
D
C E
20 kips
w = 5 kips/ft
4ʹ
hinge
4ʹ
4ʹ
6ʹ
6ʹ
P5.47
M Diagrams Deflected Share
Joint C