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Unformatted text preview: Mechanics of Deformables Spring 2007
Homework 4 (Due Tuesday 02/130007) 4.1 The ship is pushed through the water using an A36 steel propeller shaft
that is 8 m long, measured from the propeller to the thrust bearing D at the
engine. If it has an outer diameter of 400 mm and a wall thickness of 50 mm,
determine the amount of axial contraction of the shaft when the propeller
exerts a force on the shaft of 5 kN. The bearings at B and C are journal
bearings. 17 #30 kN
H ——>
5' KN ‘
R
S __ FL .5.0 (log) __ ﬂ 2: f
a E Tr (0.4i—1'r03L) (202))“
+%: (l0)
#6)”.
 r 3.63800 7.  3 6+ (to #3)“ Z — V1 Means WOJQS "1th Nels D  4.2 The A—36 steel column is used to support the symmetric loads from the
two ﬂoors of a building. Determine the vertical displacement of its top A if
P1 = 40 kip, P2 = 62 kip, and the column has a cross—sectional area of 23.4
 2
1n . K
S=ZPL
13 E 1' agoo ((2)020
93+c29o)“°3) U“? \L it») w? .1— (— 20‘?) (l1)(l2.] Q‘Ic 
~93 ‘H 003)) 62 ,1, 62 WP \h‘ 1’ k‘P “230*,de S {UM
Moms 9
W‘s,qu dowoi’ds C. 4.3 The post is made of Douglas ﬁr and has a diameter of 60 m. If it is
subjected to the load of 20 kN and the soil provides a frictional resistance
that is uniformly distributed along its sides of w = 4 kN/m, determine the
force F at its bottom needed for equilibrium. Also, what is the displacement
of the top of the post A with respect to its bottom B? Neglect the weight of
the post. T’sr’ce.
TFF.5 = , $30“;
F+6'0020=O "
F” lQo kid 3‘“ $20 “4
BN5 4(1)
= 80
KN . j
. ‘ti
D‘s IMOWent
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r:
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~ * 32 W m .w m 4.4 The assembly consists of two A—36 steel suspender rods AC and BD
attached to the 100lb uniform rigid beam AB. Determine the position x for
the 300—lb loading so that the beam remains in a horizontal position both
before and after the load is applied. Each rod has a diameter of 0.5 in. =r———— Bum—4 +23!“ 2 0‘. Flat”)  30th  100(15) = 0 + 2M. :2 0; F:4c(30) + MSO—x} + 10005} I: 0 ﬁc  350 — 10:: {2)
54 I 8’
From Eq. (1) and (2). (350  10:)(15) = (10: + 50x25)
.415 u: A 3 (5"
5250111: = 250.: + 1250 molt x 10m Ans ...
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 Spring '07
 Speich
 Trigraph, Bearing, steel propeller shaft, A—36 steel

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