ME 442 - Fall 2016
Problem Set 8
Identical Timken ISO Metric 30000 series tapered roller bearings are used in an direct mount on the
shaft below. The bearings require a life of 1200 hours at 3800 rpm and 99% reliability. Light impact is
oitside diamet er of 1.225 in with plain ground ends, and t2 totat
. Tire spring has
What should the free length be to ensure that when the spring is compressed solid
stress does not exceed the yield strength, that is, that it is
(D) What force
A compression Cpring has Squared ends and is made of carbon stdffiaThe Erearqrametef' 4
d = U.UdU
coil diameteeil.3121n.end the wire diameter. d a 0388 in. The coil enter disuse WM
_ mismmThespnghass'eelenameflMilInuandtntaleuils. % 3
a #3. & a
(a) Calcutaie the pitch of the spring at the free iength.
(1:) Calculate the solid he
ME 442 Sample Problem Shaft Desiga
A Mating an iid circular shaft :5 made of ee] tb. 3 mm strength a"? 3,; 333 km m. a remit: Mug-1h
ofSa =l4l ksi; It IS 51mph? summed by ghtvdutygauma beatings ALA and 11? MW a steady
11mm lm: ef 128.89 11;) at its center
A shaft rotatingon self-aligningbearings- which can be modeledas pinnedsupports- is mountedwith a 4 ft
diametergearloadedasshown. Draw the shearand bendingmomentdiagrams.
tJ =">' ~,
ME 422 Quiz 2 02-01-13
The rectangular beam shown has an initial curvature 7 equal to the section depth h. Determine the magnitude and
location of the maximum stress acting on the beam.
Centroidal axis 0.64h
Neutral axis '6 9'
_ e 7
The stressdistribution acting on a part in serviceis shownbelow alongwith its strengthdistribution.
a) What is the marginof safetyfor this loadingconfiguration?
b) If it is requiredthat only 2% of the partsin servicefail, what needs
1 single-sided,8.5 "xl l" handwrittenhelp sheetaI/owed
The stressdistribution acting on a part in serviceis shownbelow alongwith its strengthdistribution. Determinethe
percent~liability of this part.
(a) A pair of plates are held together in a butt joint by a 6 in.
long weld. They carry a static pure shear load as shown
(Load Case 1). The weld material has a minimum yield
strength of Sy = 35 ksi. Based upon a static factor of safety of
ME 442 Fall 2016
Problem Set 7
1. A shaft support by ball bearing is subjected to a uniform radial load of 12 kN. The life is to be
400 hours at a shaft speed of 750 rpm. What dynamic load rating should be used to enter the
Timken bearing catalog f
A full journal bearing with a circumferential groove is lubricated with SAE 40 oil at an average
film ternperature of 160'F. The bearing is 2-in in diameter and2.25-in long, and the oil groove is
0.25 in wide.
2. A fulljournal bearing is to be optimized for maximum load capacity. It is lubricated rvith SAE 20 oil
al an average temperature of 57 .5"C within the bearing. The bearing has a diameter of 30 mm and
length of 15 mm. Thd journal rotates at 1800 rpm and
M8 442 Fall2015
Name ,5*i *1r*
A circular shaft carries a transverse radial load as shown. It is supported at its eflds by two identical
light duty journal bearings made of sintered bronze. The bearings are 1.6 cm long. A design
factor/factor of sa
A single-sided, 8.5xl l" handwritten help sheet allowed
Use Castiglionos Method to determine all reactions for the rectangular beam illustrated with cross-sectional area
moment of inertia I and Youngs modulus E.
FED 1114 P g x Zcfw_%_=: YKVY-qu