Question
In: Mechanical Engineering
A spring with a spring rate of 75 lb/in has a working deflection of 1 in....
A spring with a spring rate of 75 lb/in has a working deflection of 1 in. It provides a minimum of 150 lb at installation. The spring is formed from 0.25 in diameter unpeened music wire. The coil has squared and ground ends, and it fits in a 2.1 in diameter hole with 0.1 in clearance.
Assuming a 15% clash allowance, find:
a) Safety factor for infinite life in fatigue
b) Shut height
c) Safety factor at shut height
d) Total number of coils
e) Free length
Solutions
samet mamat answered 2 years agoRelated Solutions
A 128-lb weight is attached to a spring having a spring constant of 64 lb/ft. The...
A 128-lb weight is attached to a spring having a spring constant
of 64 lb/ft. The weight is started in motion with no initial
velocity by displacing it 6 in below the equilibrium position and
by simultaneously applying an external force F(t) = 8sin(4t). a.
Assuming no air resistance, find the equation of motion. b. What is
the long term behavior of the motion? Please use differential
equations to solve this
1 A steel helical spring carries a compressive load of 32.4 pounds at a deflection of...
1 A steel helical spring carries a
compressive load of 32.4 pounds at a deflection of 0.25 inches.
Maximum stress is 73240psi. The spring has 1.5 end turns. Calculate
the value of c for the spring of minimum volume material.
Calculate the value of d and choose the nearest standard
wire diameter for the actual spring. Calculate the corresponding
R and the number of active coils Nc.
Also, calculate the material in the spring.
a. A force of 40 lb is necessary to hold a spring that has been stretched...
a. A force of 40 lb is necessary to hold a spring that has
been stretched from its natural
length of 10 ft to a length of 15 ft. How much work is done in
stretching the spring from 15 ft to a length of 18 ft? (Hint: Use
Hook’s Law F = kx, where x represents distance that the spring is
stretched or compressed past its natural length)
b. A tank full of water has the shape of an...
A mass is connected by means of a spring to an inelastic support. The static deflection...
A mass is connected by means of a spring to an inelastic
support. The static deflection due to the weight of the mass is 60
mm. The support is oscillated with simple harmonic motion at 3Hz
and amplitude 10.0mm. Determine the amplitude of vibration of the
mass and phase angle if the damping is negligible.
The mass is now damped in an oil bath which exerts a resistance
proportional to velocity, and the spring anchorage is oscillated as
before. It...
An industrial machine weighing 1000 lb is supported by springs with a static deflection of 0.20...
An industrial machine weighing 1000 lb is supported by springs
with a static deflection of 0.20 inches. The machine has a rotary
unbalance of 20 lb / in. If this machine is mounted on a large
concrete block weighing 2500 lb and the stiffness of the springs or
supports under the block is increased so that the static deflection
is still 0.20 in, what will be the dynamic amplitude?
If an undamped spring-mass system with a mass that weighs 24 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 24 lb
and a spring constant 9 lbin is suddenly set in motion at t=0 by an
external force of 180cos(8t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.
If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 6 lb
and a spring constant 9 lb/in is suddenly set in motion at t=0 by
an external force of 99cos(20t) lb, determine the position of the
mass at any time. Assume that g=32 ft/s2. Solve for u in feet.
If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 6 lb
and a spring constant 9 lbin is suddenly set in motion at t=0 by an
external force of 33cos(20t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.
Enclose arguments of functions in parentheses. For example,
sin(2x).
u(t)=?
If an undamped spring-mass system with a mass that weighs 24 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 24 lb
and a spring constant 9 lbin is suddenly set in motion at t=0 by an
external force of 288cos(4t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.
Enclose arguments of functions in parentheses. For example,
sin(2x).
If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 6 lb
and a spring constant 4 lbin is suddenly set in motion at t=0 by an
external force of 63cos(12t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.
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