erial and/or rsional propertiès ôf th A torsion test most often is performed on shafts to determine the ma material. Your role in a recognized material testing company is to determine the material of a circular bar fron experimental data of angle of twist obtained from a torsion test to be selected later in a design of a gearbo machine. The datasheet provides the following tables: Material Aluminum Alloy 1100-H14 Gray Cast-Iron Modulus of Rigidity (GPa) 60 < G < 80 200 < G < 300 The shafts have the following details: Shafts Geometrical Details Gauge Length (mm) Diameter (mm) 144.53 23.5 The data obtained from the test are collected for shaft A are presented by the following testing data table: Shaft A Torque KN.m Twist Angle (Degree) 32.45 15.81 110.92 110.92 Elastic Range Your manger asked you to perform the following: 1- Calculate the polar 2nd moment of inertia in mmª. 2- Determine the materials of shaft A using the tests data and datasheet, explain your results. 3- Plot the torsion vs the angular deflection, using the slope that you have found from the table (MatLab or Exce only). 4-Plot the shear stress vs shear strain, using the modulus of rigidity that you have found from calculation

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A torsion test most often is performed on shafts to determine the material and/or the torsional properties of the
material. Your role in a recognized material testing company is to determine the material of a circular bar from
experimental data of angle of twist obtained from a torsion test to be selected later in a design of a gearbox
machine. The datasheet provides the following tables:
Modulus of Rigidity (GPa)
60 < G < 80
Material
Aluminum Alloy 1100-H14
Gray Cast-Iron
200 < G < 300
The shafts have the following details:
Shafts Geometrical Details
Gauge Length (mm)
Diameter (mm)
144.53
23.5
The data obtained from the test are collected for shaft A are presented by the following testing data
table:
Shaft A
Torque KN.m
Twist Angle
(Degree)
32.45
15.81
110.92
110.92
Elastic Range
Your manger asked you to perform the following:
1- Calculate the polar 2nd moment of inertia in mm*.
2- Determine the materials of shaft A using the tests data and datasheet, explain your results.
3- Plot the torsion vs the angular deflection, using the slope that you have found from the table (MatLab or Excel
only).
4-Plot the shear stress vs shear strain, using the modulus of rigidity that you have found from calculations
(MatLab or Excel only).
Transcribed Image Text:A torsion test most often is performed on shafts to determine the material and/or the torsional properties of the material. Your role in a recognized material testing company is to determine the material of a circular bar from experimental data of angle of twist obtained from a torsion test to be selected later in a design of a gearbox machine. The datasheet provides the following tables: Modulus of Rigidity (GPa) 60 < G < 80 Material Aluminum Alloy 1100-H14 Gray Cast-Iron 200 < G < 300 The shafts have the following details: Shafts Geometrical Details Gauge Length (mm) Diameter (mm) 144.53 23.5 The data obtained from the test are collected for shaft A are presented by the following testing data table: Shaft A Torque KN.m Twist Angle (Degree) 32.45 15.81 110.92 110.92 Elastic Range Your manger asked you to perform the following: 1- Calculate the polar 2nd moment of inertia in mm*. 2- Determine the materials of shaft A using the tests data and datasheet, explain your results. 3- Plot the torsion vs the angular deflection, using the slope that you have found from the table (MatLab or Excel only). 4-Plot the shear stress vs shear strain, using the modulus of rigidity that you have found from calculations (MatLab or Excel only).
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