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 < 80 200 < G < 300 Material Aluminum Alloy 1100-H14 Gray Cast-Iron The shafts have the following details: Shafts Geometrical Details Gauge Length (mm) Diameter (mm) 144.53 11.75 The data obtained from the test are collected for shaft A are presented by the following testing data table: Shaft A Twist Angle O (Degree) 15.81 Torque (N.m) 32.45 110.92 110.92 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).
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 < 80 200 < G < 300 Material Aluminum Alloy 1100-H14 Gray Cast-Iron The shafts have the following details: Shafts Geometrical Details Gauge Length (mm) Diameter (mm) 144.53 11.75 The data obtained from the test are collected for shaft A are presented by the following testing data table: Shaft A Twist Angle O (Degree) 15.81 Torque (N.m) 32.45 110.92 110.92 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).
Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter1: Introduction
Section: Chapter Questions
Problem 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...
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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
200 < G < 300
Material
Aluminum Alloy 1100-H14
Gray Cast-Iron
The shafts have the following details:
Shafts Geometrical Details
Gauge Length (mm)
Diameter (mm)
144.53
11.75
The data obtained from the test are collected for shaft A are presented by the following testing data
table:
Shaft A
Twist Angle D
(Degree)
Torque (N.m)
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 mm4.
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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