leet ch05 01-63

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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

hinge

P5.47

M Diagrams Deflected Share

Joint C

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