MET414_Midterm_Richardson_Brendon
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ECPI University, Virginia Beach *
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Course
414
Subject
Mechanical Engineering
Date
Apr 3, 2024
Type
docx
Pages
5
Uploaded by AmbassadorWildcatMaster552
Problem One
The circular rod shown is made of the steel alloy AISI 4140 OQT 700. It has a diameter of 2.00 in and an initial length of 72 in. An axial tensile load of 35 000 lb is applied during a certain operation.
Compute:
1.
the equivalent spring constant K,
2.
the deformation X of the rod.
The Young’s modulus of the steel is known to be 30,000,000 psi.
Problem Two
Write the global stiffness matrix of the spring assemblage shown. Assume that all springs remain horizontal, the vertical bars at nodes 2 and 3 are rigid
and allowed to slide horizontally to the left or right.
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Problem Three
In this problem, you are asked to perform a linear static stress analysis of the
fitting
shown. The procedure is the same as that of the “Linear Static Analysis of a fitting” tutorial except for the size of the part and thus, the location of the applied load. Make sure that diagrams of displacement and Von Mises stress are included in your analysis report.
Download and save the part file
fitting altered.ipt
Start Autodesk Inventor
Open the file
fitting altered.ipt
you downloaded previously
Click
File
,
Save As
and save the part as
fitting altered Midterm.ipt
. This allows you to reuse the original part.
Enter the Nastran through “Environments” tab
Walk through the entire
Linear Static Analysis of a Fitting
tutorial and complete all the tasks. (Skip any slide that asks you to download or open the original fitting file).
Make sure that you have saved the
report
and the
Inventor file
as instructed at the end of the tutorial
Problem Four
In this problem, you are asked to perform a linear static stress analysis
of simple lever arm shown. The procedure is the same as that of
Sec 05
“Cast Lever Exercise” except for the loading
. Make sure that diagrams of displacement and Von Mises stress are included in your analysis report.
Analytically re-calculate the force R acting on point C. It will no longer be 687.5 N as previously found and listed in the slides
Download and save the part file
Cast Lever.ipt
Start Autodesk Inventor
Open the file
Cast Lever.ipt
you downloaded previously
Click
File
,
Save As
and save the part as
Cast Lever Midterm.ipt
. This allows you to reuse the original part.
Enter the Nastran through “Environments” tab
Walk through
Sec 05 Cast Lever Exercise
Links to an external site.
and complete all the tasks. Remember that while the boundary
conditions are the same, the loading
will be different
. (Skip any slide that asks you to download or open the Cast Lever file).
Generate and save the report HTML file as “Cast Lever New Load”. Make sure the displacement and Von Mises stress diagram are included.
Save the Inventor file
Related Documents
Related Questions
PROBLEM: 5 A helical valve spring is to be designed for an operating load range of 90N to 195N. The maximum deflection of the spring for this load range is 7.5 mm. Assuming a spring index of 9, a permissible shear stress of 550 N/mm2 for the material and the modulus of rigidity of 0.85x105 N/mm2. Determine the dimensions of the spring. (i.e. Diameter of the spring wire ,Mean coil diameter, Outer diameter of the spring, number of active turn and free length of the spring). Assume the spring coil is squared and ground.
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A helical compression spring has a scale of 500 lb/in., an outside diameter of 2.75 in, a free length of 8 inches and with squared and ground ends. The load is 1,000 lbs and the working stress on the wire material is 65000 psi. If the Wahl factor of 1.25 is to be used, calculate the following:
A. The standard wire diameter
B. The number of active coil if G = 10 800 000 psi
C. The solid height
D. The stress at solid height
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Required information
A helical compression spring is wound using music wire of diameter, d, 2.16 mm. The
spring has an outside diameter, OD, of 27 mm with plain ground ends and 14 coils.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to
return to this part.
What should be the free length to ensure that the torsional stress does not exceed the yield strength
when the spring is compressed solid? What is the critical free length? Is there a possibility that the spring
might buckle in service?
The free length should be
|mm.
The critical free length should be
Buckling is likely
Eto occur.
mm.
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A helical compression spring has a scale of 400 lbs/inch, an inside diameter of 2.5 inches, a free length of 8 inches and with squared and ground ends. Material is to be chrome vanadium steel. For a load P of 750 lbs and for the average service
Determine the standard size wire diameter
Determine the number of active coils
Determine the solid height
Determine the stress at solid height
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A helical compression spring is wound using 0.12-in-diameter phosphor-bronze B159 wire. The spring index
C = 10 and the total number of coils is N = 14. You may assume that the spring has both ends squared and
ground and is supported between fixed ends. Also, Sgy = 0.45 · Sut-
a. Estimate the spring rate.
b. Estimate the static load corresponding to the yield strength.
c. What should the free length of the spring be to ensure that when it is compressed solid the torsional
stress does not exceed the yield strength?
d. Calculate the critical value of the free length of the spring to avoid buckling.
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Required information
A helical compression spring is wound using music wire of diameter, d, 2.16 mm. The
spring has an outside diameter, OD, of 27 mm with plain ground ends and 14 coils.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to
return to this part.
What is the force needed to compress this spring to closure assuming that the spring will reach its shear
strength at its solid length?
The force needed to compress this spring to closure is
|N.
arrow_forward
4. A vertical spring loaded valve is required for a compressed air receiver. The valve is to start opening
at a pressure of 1 N/mm2 gauge and must be fully open with a lift of 4 mm at a pressure of 1.2 N/mm?
gauge. The diameter of the port is 25 mm. Assume the allowable shear stress in steel as 480 MPa and
shear modulus as 80 kN/mm.
Design a suitable close coiled round section helical spring having squared ground ends. Also specify
initial compression and free length of the spring.
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Problem 4:
A helical compression spring is to be cycled between 150 lbf and 300 lbf with a 1-in stroke. The number of
cycles is low, so fatigue is not an issue. The coil must fit in a 2.1-in diameter hole with a 0.1-in clearance
all the way around the spring. Use unpeened music wire with squared and ground ends.
(a) Determine a suitable wire diameter, using a spring index of C = 7.
(b) Determine a suitable mean coil diameter.
(c) Determine the necessary spring constant.
(d) Determine a suitable total number of coils.
(e) Determine the necessary free length so that if the spring were compressed to its solid length,
there would be no yielding
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Design of machine elements
solve according to Khurmi
Please write clearly
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Design a helical compression spring to be used in a cam and follower mechanism made of oil tempered carbon steel, is subjected to a load which varies from 416 N to 970 N. The spring index is 6.2 and the design factor of safety is 1.25. If the yield stress in shear is 770 MPa and endurance stress in shear is 350 MPa,find:
1. Size of the spring wire,
2. Diameters of the spring,
3. Number of turns of the spring, and
4. Free length of the spring.
The compression of the spring at the maximum load is 30 mm. The modulus of rigidity for the spring material may be taken as 80 kN/mm2.
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3. A helical compression spring with squared and ground ends is made of music wire. It is to
have a spring rate of 2,400 N/m. The force corresponding to a solid length is 120 N. The
spring index is set to be 10. At closure use a design factor of 1.2 guarding against yielding.
For static loading, determine the wire diameter, the mean coil diameter, the number of coils,
the free and solid lengths of the spring, and show whether buckling may occur.
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Please don't provide handwriten solution ....
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A mechanism used in printing machinery consists of a tension spring assembled with a preload of 40 N. The mean diameter of the coilis 32 mm with a spring index of 8. The spring has 18 active coils. The spring wire is hard drawn and oil tempered having the following material properties:
a.Design shear stress = 700 MPb
b. .Modulus of rigidity = 80 kN/mm2
Identify (a) the initial torsional shear stress in the wire, (b) the spring rate, and (c) the force to cause the body of the spring to reach its yield strength.
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A helical compression spring is made with oil-tempered wire of diameter 0.2", mean coil
diameter of 2", 12 total coils, 5" free length, and squared ends. (a) Find the solid length. (b) Find
the force required to compress the spring to closure? (c) Find the factor of safety against yield
when compressed to the solid length. (Hint: Uses Say= 0.5 Sut for shear strength.)
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The free end of a torsional spring deflects through 90° when subjected to a torque of 4 N-m. The spring index
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When a coil spring with a spring rate of 150 lb/in. is compressed 1.5 in., the coils are closed. The allowable shear
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a. The required wire diameter d,
b. The required coil diameter D,
%3D
C. The required number of coils,
d. And the closed length of the spring.
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-
Required information
A helical compression spring is made of hard-drawn spring steel wire of diameter
0.0773in. and has an outside diameter of 0.85 in. The ends are plain and ground, and
there are 8 coils.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to
return to this part.
What is the pitch of this spring? What force is needed to compress the spring to its solid length? Estimate
the spring rate.
The pitch of the spring is
in.
The force needed to compress the spring to its solid length is
lbf.
The spring rate is
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Related Questions
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SEE MORE QUESTIONS
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Recommended textbooks for you
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning

Mechanics of Materials (MindTap Course List)
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ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning