Problem 3-45 Design the piston rod of the cylinder at FB of the - - PDF document

Problem 3-45

Design the piston rod of the cylinder at FB of the hydraulic floor crane problem 2-80. Select both the material and the factor of

• safety. The rated crane load is 0.5 ton.

Law of Cosine

( ) ( )( ) ( )

32.57 a 58.87 cos 38 18 2 38 18 A cos c b 2 c b a

2 2 2 2 2

= → − + = − + =

Law of Sine

( ) ( )

28.23 α 18 α sin 32.87 58.87 sin = ⇒ =

Problem 3-45 Cont

( ) ( ) ( )( ) ( ) ( )( ) ( )

17.985 54 1000 F 5 76.77 cos F 17.3 76.77 sin F 54 1000 M

C

= = − − = + ∑

( ) ( ) ( )

4 3 2 cr 2 4 2 2 2 cr cr cr

E π C 64 L P D 64 L D π E π C L EI Cπ P 12,012lbs 3003 4 P P P P = = = = = = ⇒ = n n

Design the piston rod of the cylinder at FB of the hydraulic floor crane problem 2-80. Select both the material and the factor of

• safety. The rated crane load is 0.5 ton.

36.7’’

( )

76.77 Fsin Fy =

17.3’’ 5’’ 1000 lbs C

( )

76.77 Fcos F

x =

Use: n=4 , UNS G-10400 cold drawn steel (Sy = 71 kpsi) B.C’s: One end Fixed, one end rounded & guided C=1.2

36 18 9

Problem 3-45 Cont

( )( )( )(

)

' ' 8 7 is size Standard nearest 0.81 D Column Euler k L k L Since 100.04 71000 10 30 π 2 . 1 2 S E π C 2 k L 123.46 4 0.81 25 4 d 25 k L

1 6 2 y 2 1

= ⇒ " # $ % & ' > = × = = " # $ % & ' = = =

∴ ∴