Strength of Materials Please give me abAbstract about f Experiment: Torsion Test All thank and appreciation ?? ?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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MENG222 Strength of Materials Please give me abAbstract about f Experiment: Torsion Test All thank and appreciation ?? ?
1.
ОВJЕСTIVE
To carry out a torsion test to destruction in order to determine the following for a
specimen.
a) The general characteristics of the torque and angle of twist relationship.
b) The modulus of rigidity using torque and angle of twist.
c) The general characteristics of the shear strain, shear stress.
d) The modulus of rigidity using shear stress and shear strain relationships.
e) The shear stress at the limit of proportionality and the maximum shear stress.
2.
APPARATUS AND EQUIPMENT USED
Tecquipment Torsion Testing Machine , steel rule and Vernier caliper
LO
paralel
d0= mm test diameter metric
Figure 1. Standard torsion specimen for use with the torsion testing machine
Specimen Dimensions
Dimensions
Brass
Steel
Aluminium
do=Diameter (mm)
6
Lo=gauge length (mm)
(L)i=Specimen Length(mm) | 140
76.5
77.09
77.15
140
140
3.
THEORY
From the general torsion theory for a circular specimen.
Tr
t =-
(1)
J
1 = Gy
(2)
TL
(3)
JG
Where,
T= Applied Torque
J= Polar second moment of area.
Nm or lbf in
mm* or in*
G= Modulus of rigidity
Ibf
or
in?
mm
0 = Angle of twist (over length L)..
Radians
N
T = Shear stress at radius ʻr’.
Ibf
or
mm?
in?
Radians
y = Shear strain..
r =
radius...
mm or in
Transcribed Image Text:1. ОВJЕСTIVE To carry out a torsion test to destruction in order to determine the following for a specimen. a) The general characteristics of the torque and angle of twist relationship. b) The modulus of rigidity using torque and angle of twist. c) The general characteristics of the shear strain, shear stress. d) The modulus of rigidity using shear stress and shear strain relationships. e) The shear stress at the limit of proportionality and the maximum shear stress. 2. APPARATUS AND EQUIPMENT USED Tecquipment Torsion Testing Machine , steel rule and Vernier caliper LO paralel d0= mm test diameter metric Figure 1. Standard torsion specimen for use with the torsion testing machine Specimen Dimensions Dimensions Brass Steel Aluminium do=Diameter (mm) 6 Lo=gauge length (mm) (L)i=Specimen Length(mm) | 140 76.5 77.09 77.15 140 140 3. THEORY From the general torsion theory for a circular specimen. Tr t =- (1) J 1 = Gy (2) TL (3) JG Where, T= Applied Torque J= Polar second moment of area. Nm or lbf in mm* or in* G= Modulus of rigidity Ibf or in? mm 0 = Angle of twist (over length L).. Radians N T = Shear stress at radius ʻr’. Ibf or mm? in? Radians y = Shear strain.. r = radius... mm or in
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