ME 562 Homework Set 4 Solutions
1.
Due May 17, 2011
7
d 0.105" , D 0.80" , Pmax 25 lb , Pmin 0 , Nd 10 cycles .
From (141),
c D / d 7.619
Sut Bd a 184,600(0.105)0.1625 266.1 ksi
From Table 14.8 for s
ME 562 Homework Set 4
Due May 17, 2011
1. An existing helicalcoil compression spring is wound from unpeened music wire
with a diameter of d 0.105" . The mean diameter of the spring is D 0.80" as
show
dm .
( c f~&4%6%
El
A
Problem L . The figure shows a brake with only one shoe, being applied by a 1.5 kN force. Four seconds
after force F is applied, the drum comes to a stop. During this time the
Contact Examples
Example 1
Rollers supported by a steel base
( E = 30 106 psi, = 0.30 ) are
used to allow a top plate to
translate in two directions while
carrying a pile of material with a
density of
Estimating Fatigue Cycles
Fatigue failure is often addressed by
considering two different regions, low cycle
( N 103 cycles) and high cycle ( N 103
cycles). Some materials may have a definite
bilinea
Linear Elastic Fracture Mechanics
y
Determining the state of stress near the tip of a
crack can be complicated. Depending on the
loading conditions, different modes of fracture
can be identified. Thes
Load Sharing Examples
Example 1
Assume a similar situation to that in example 1, except that the two pillars at the
end of the beam are to be replaced with a single steel pillar. The top 2 of the pill
Modified Goodman Diagram
This presentation is designed to give the flavor of what was involved in fatigue analysis for high cycle fatigue
using a modified Goodman diagram before current approaches wer
Multiaxial Fatigue
Different approaches to identifying the equivalent completely reversed normal stress for multiaxial fatigue
are explored. The basic relationship to be determined is the equivalent c
Press Fit Examples
Example 1
A 3indiameter steel shaft ( E 30 106 psi , =0.3 ) is
pressed into a steel hub with an outside diameter of 6 in.
and an inside diameter of 3 in. Knowing that the
contacti
=
a d"
B = / y &XI psi
J
=
 o /LZ<
.
(d
def I P C ~
yw
=
FK

=
5.$4
Y Y $
ProMem3. A helical compression spring made of oil tempered carbon steel, is subjected to a load which
varies fiom 400 N to
ME 562 Homework Set 5
Spring 2007
Due May 8, 2007
Problem 1 . Using the structural method of assuming all rivets to carry a proportional share of the load,
compute the tensile stress in the main plate
Name
5
,
I~jbh~
M E 562 EXAM I1
O PEN BOOK (Closed Notes)
Thursday May 1 7,2007
Instructions: (1) Write your name in the upper right hand comer of this sheet. (2) Complete the exam,
using your book, b
ME 562 Homework Set 1 (Review Problems)
Spring Quarter 2007
Due April 3 2007
Problem 1. A hollow shaft must carry a torque of 3,400,000 Nmm at a shearing stress of 55 MPa. The
inside diameter is to b
ME562 Homework Set 2
Due April 10, 2007
Problem 1. The shaft AD is supported in bearings at A and D and has pulleys attached at B and C. The
pulley at B is 40in. diameter and weighs 300 lb. while at
ME 562 Homework
Due Tuesday April 17, 2007
Problem 1. The shaft shown below is made of stainless steel (E = 26 x 106 psi). Determine asaft diameter
to insure that the first critical speed be no less t
ME562 Homework Set 4
Due April 24, 2007
Problem 1. The lead screw of a lathe has Acme threads of 50 mm outside diameter and a pitch of 8 mm. The screw
must exert an axial pressure of 2500 N in order t
ME 562 Homework Set 5
Spring 2007
Due May 8, 2007
Problem 1. Using the structural method of assuming all rivets to carry a proportional share of the load,
compute the tensile stress in the main plate
ME 562 Homework Set 6
Spring 2007
Due May 15, 2007
Problem 1. Prob. 149 Text
Problem 2. A helical spring of rate 10 N/mm is mounted on top of another spring of rate 7 N/mm. Find
the force required to
ME 562 Homework Set 7
Spring 2007
Due May 29, 2007
Problem 1. Problem 16.1 Text
Problem 2. The figure shows a brake with only one shoe, being applied by a 1.5 kN force. Four seconds
after force F is a
Practice Problems: Spring 2006
1. A steel shaft of constant diameter is simply supported at the ends. The distance between supports is 20
in. and a mass weighing 50 lb is located 4 in. to the right of
ME 562 Homework Set 1 Solutions
Spring 2007
Problem 1. A hollow shaft must carry a torque of 3,400,000 Nrnm at a shearing stress of 55 MPa. The
inside diameter is to be 0.65 of the outside diameter.
ME562 Homework Set 2
Due April 1 0,2007
Problem 1. The shaft AD is supported in bearings at A and D and has pulleys attached at B and C. The
pulley at B is 40in, diameter and weighs 300 lb. while at
ME 562 Homework
Due Tuesday April 17,2007
Problem 1. The shaft shown below is made of stainless steel (E = 26 x lo6psi). Determine $af)diameter
to insure that the first critical speed be no less than
ME562 Homework Set 4
Due April 24,2007
Problem 1 . The lead screw of a lathe has Acme threads of 50 mm outside diameter and a pitch of 8 mm. The screw
must exert an axial pressure of 2500 N in order t
Stress Concentration and Failure Examples
Example 1
A structural component is subjected to an axial
force, a bending moment , and a torque as shown.
Knowing that d 1.25" , a design factor of safety of