In: Mechanical Engineering

Design a straight ended helical torsion spring for a static load 200 N-m at a deflection of 45 deg with a safety factor of 1.8. Specify all parameters necessart to manufacture the spring state all assumntions. You make the following design choices:

*Use unpeened oil tempered wire with 40mm long, straight ends. The coil is loaded to close it

* Design safety factory Nyd=1.8

*spring index C=11

*Yield Strength Factor K=0.85

*length of the ends L1=40 mm=L2

*Material choice = ASTMA299wire

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 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...

A spring has a Hooke's law spring constant of 3.4 N/m. If you
load it with 1.3 kg, how far will it extend from its equilibrium
length?
A spring 10 cm long extends 0.5 cm when a mass of 8 kg is hung
from it. Suppose you made an similar spring of the same material,
but twice as long. How much would it extend with the same mass?
If you apply a force {f} newtons on a spring, and it...

A 200 g block attached to a spring with spring constant 2.1 N/m
oscillates horizontally on a frictionless table. Its velocity is 20
cm/s when x0 = -4.6 cm .
A. What is the amplitude of oscillation?
B. What is the block's maximum acceleration?
C. What is the block's position when the acceleration is
maximum?
D. What is the speed of the block when x1 = 3.2 cm
?

An as-wound helical-coil compression spring with infinite
fatigue life is needed to resist a dynamic load that varies from
8.0 to 24.0 lbf at 45.0 Hz over a dynamic deflection of 0.3 in.
Because of assembly considerations, the solid length of the spring
cannot be more than 1.2 in. The spring should have squared and
ground ends and is to be made from peened music wire. Upon closure,
use a design factor of 1.2 guarding against yielding and a
fractional...

1. Design and check for stability for a square and ground end
helical spring subjected to a maximum force of 1300 N supported
between flat surfaces. The deflection of the spring corresponding
to the maximum force should be approximately 25mm. The material
used for the spring is cold drawn steel wire with ultimate tensile
strength, modulus of elasticity and rigidity of 1090, 207000 and
81730 MPa, respectively. Assume and state relevant parameters.

1. The static spring constant k (in N/m) can be determined
from:
Select Answer:
- the reciprocal of the slope of a graph of displacement (in
meters) as a function of total added weight (in Newtons)
- the slope of a graph of final position (in cm) as a function
of total added mass (in grams)
- the y-intercept of a graph of displacement (in meters) as a
function of total added weight (in Newtons)
- the slope of a...

10-35: A helical coil compression spring is needed for food
service machinery. The load varies from a minimum of 4 lbf to a
maximum of 18 lbf. The spring rate k is to be 9.5 lbf/in. The
outside diameter of the spring cannot exceed . The springmaker has
available suitable dies for drawing 0.080-, 0.0915-, 0.1055-, and
0.1205-in-diameter wire. Use squared and ground ends, and an
unpeened material. Using a fatigue design factor nf of 1.5, and the
Gerber-Zimmerli fatigue-failure...

A 20 cm long horizontal spring (k= 200 N/m) is attached
to a wall. A 2 kg box is attached to the other end. You pull the
box 3 cm, displacing the spring from equilibrium. Assume the floor
is frictionless.
If the box is released from rest at t = 0
s:
Write an equation describing the position of the box at
some arbitrary time âtâ. Go ahead and fill in the values for
amplitude, phase angle, and angular frequency....

A 200 g mass hangs from a massless spring (k = 10 N/m). At t =
0.0 s, the mass is 20 cm below the equilibrium point and moving
upward with a speed of 100 cm/s. What is the a. oscillation
frequency? b. distance from equilibrium when the speed is 50 cm/s?
c. distance from equilibrium at t = 1.0 s?

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