- Assuming This Stress Is Uniform In The Tube Wall The Torque Producing The Stress Is Given By 8t Force In Tube Radius 1 (71.85 KiB) Viewed 52 times
- Assuming This Stress Is Uniform In The Tube Wall The Torque Producing The Stress Is Given By 8t Force In Tube Radius 2 (104.11 KiB) Viewed 52 times
- Assuming This Stress Is Uniform In The Tube Wall The Torque Producing The Stress Is Given By 8t Force In Tube Radius 3 (83.19 KiB) Viewed 52 times
- Assuming This Stress Is Uniform In The Tube Wall The Torque Producing The Stress Is Given By 8t Force In Tube Radius 4 (51.72 KiB) Viewed 52 times
- Assuming This Stress Is Uniform In The Tube Wall The Torque Producing The Stress Is Given By 8t Force In Tube Radius 5 (72.69 KiB) Viewed 52 times
if it's possible also do part B.
attached is results for Brass material so please for the instruction and give value for modulus
of rigidity
Assuming this stress is uniform in the tube wall the torque producing the stress is given by 8T = force in tube * radius = (S stress * area in shear) * radius = t2nror*r Substituting for t 8T = 21 mm GO r38r Therefore, the torque in the whole shaft is given by GOR T = 270 3 dr GO =219672 2/4 - -) GOTER L 2 GO TD4 (Nm) L32 The terms in the brackets are the "Polar second moment of area of the shaft denoted by J. Part A Methodology 1. Set up the specimen. 2. Position the deflection gauge at approximately three quarters of the length of the specimen, measured from the fixed end. 3. Accurately measure the distance L before applying any load. 4. Apply a load of 0.2kg to the load hanger and record the deflection obtained. 5. Increase the load by increments of 0.2kg up to the maximum available each time recording the corresponding total value of e. 6. Tabulate the results in the table provided. • m. Results Effective length of shaft Diameter of shaft Radius of torsion pulley . m m.
MM/CV211 - Solid Mechanics 1 Lab 3 - Torsion Experiment Objective To observe the relationship between the torque and angular deflection of a specimen subjected to torsional loading and to determine the Modulus of Rigidity of the shaft. Introduction The following assumptions are made when considering the shaft subject to pure torque as shown in the figure below. 1. The twisting action is uniform along the whole length of the shaft. 2. Radii remain straight 3. Transverse planes remain parallel to each other. Theory Sr. Shear strain Figure 1. Torsional load on a circular shaft. These are reasonable assumptions if the deformation is elastic and the shaft is circular. Consider an elemental tube of radius r and thickness & in the shaft. The tangential displacement on the tube wall due to angular displacement 0 is ro ( in radians) therefore Shear strain around the wall of the tube = (radians) re L And the definition of the rigidity modulus G = Stress Strain = Gre Hence t = N/m2 L This study source was downloaded by 100000804202887 from Course Hero.com on 05-06-2022 22:46:51 GMT-05:00 https://www.coursehero.com/file/8677695 ... rimentpdf/
Load Mass M (kg) Torque T (Nm) Angular Deflection (rad) Results Analysis Plot a graph of T vertically against angular deflection 0. The graph should be a straight line of a slope 7 Measure the slope of the straight part of the graph ignoring any initial variations. Hence determine the value of G. Compare the value obtained for G with typical values for the material obtained from data books or reference works. Comment on any discrepancies, suggest reasons for its origin. Comment also on the shape of the graph and the information it provides on torsion theory. Part B Methodology 1. Set up the specimen. 2. Keep the torque T constant with a value of 3kg. 3. Measure the angular deflection obtained over the same length L for a range of shaft diameters D. 4. Tabulate the results in the table below. Results Load mass M= kg Radius of torsion pulley a = m Nm Torque Mga = Effective length L = m
Diameter D (m) Angular Deflection 0 (rad) Log D Logo Analysis and Discussion Plot the graph of log o against log D. 1 ө GT 32LT D4 Taking logarithms on both sides we get Gп - log 0 = 4 log D + 10832LT Gп log @ = -4 log D-log 32LT logo log D Gm K-log 32LT From the intercept the value of G can be determined. Compare the value of G with the results obtained in Part A and other references.
Brass Effective length of shaft Diameter of shaft Radius of pulley Fixed end to linear deflecti Fixed end to angular defled Shaft to linear deflection pl 458 mm 6.32 mm 57 mm 368 mm 336 mm 51 mm 1 1.5 2 3 AWN UP voulu 41 Load (kg) Linear deflection (mm) Angular deflection (°) 0.2 0.23 0.4 0.71 0.6 1.26 0.8 1.89 1 2.61 1.2 3.4 1.4 4.11 1.6 4.81 1.8 5.32 6.19 3 8.55 5 5.5 6 7 2. oo 8 11