Page 1 of 4 MT-204/ROBO-240 Lab FILL OUT THIS SECTION IN FEN COLLEGE Course Code and Section CENTENNIAL Name Student Number Attendance for Part A (dd/mm/}}) _/_/_Lab Instructor's signature Attendance for Part B (dd/mm/vy) _/_/_ Lab Instructor's signature TORSION TEST OBJECTIVE To experimentally determine the angle of twist due to torsion, for a circular (round) steel shaft using different shaft diameters and different shaft lengths, then to compare the experimental angles of twist with the theoretically predicted angles. PART A - TORSION TESTING OF CIRCULAR SHAFTS 1- Tum ON the Torsion Tester and install a steel shaft with a diameter D = 4.6 mm and a free length 1 = 300 mm. 2- With no weight mounted on the hanger, zero the angle of twist indicator. 3- Mount a 10-N weight on the hanger and record the angle of twist, to the nearest 0.1', in the given table, noting that the lever armi radius for calculating the torsional moment, or torque, is 100 mim. 4- Repeat Step 3 increasing the mounted weight as indicated in the given table, until the maximum allowable angle of twist of 9%, built into the tester, or the maximum weight of 60 N, is reached. 5- Repeat Steps 1 to 4 using steel shafts having D = 6.3 mm with 1 = 300 mm, D = 7.9 mm with _ = 300 mm, and D= 6.3 mm with _ = 600 mm. Experimental Angle of Twist (2) D = 4.6 mm D = 6.3 mm D =7.9 mm D = 6.3 mm Weight (N) Torque (N.mm) L = 300 mm L = 300 mm L = 300 mm L = 600 mm 10 1000 _4.4 _1.4_ 0.7 2.8 20 2000 3.0 29 1.4 5.7_ 30 3000 4.3 2.1_ 8.5 40 1000 5.6 2.7_ 50 5000 7.0 3.3 6000 8.4Page 2 of 4 PART B - ANALYSIS OF THE RESULTS 1- Using the following graph (with labelled axes) plot the experimental angle of twist p versus the torsional moment, or torque ], for the three shafts with _ = 300 mm, using dark crosses (+) to indicate he actual data points; label each set of data points according to its shaft diameter, "D= - - - mm". (30 point:) Angle of Twist versus Torque Angle of Twist . (") 5.0 - 2500 5000 Torque T (N.mm) THE Yellow line 600mm GREEN 30mm 2- 3- Using the following graph (with labelled axes) plot the experimental angle of twist o versus the torsional moment, or torque ], for the two shafts with D= 6.3 mm, using dark crosses (+) to indicate the actual data points; label each set of data points according to its shaft length, "[ =- - mm" (20 points)Page 3 of 4 the purple line = 4.6 mm The green= 6.3mum The yellow= 7.9mm Angle of Twist versus Torque Angle of Twist . (") 5.0 - 2500 5000 Torque T (N.mm) 4- Using the following theoretical relationship, determine the theoretical relationship between the angle of twist p versus the torsional moment, or torque ], by first calculating the torque, to the nearest 50 N.mm, required for an angle of twist of 3", converted to radians, for the four shafts (20 points) GJ " : Angle of twist in radians (1 rad = 57.3) _ Torque in N.mim I : Length of shaft in mm G : Shear modulus, for steel G = 77 Gea = 77,000 MPa = 77,000 N/mm: J : Polar moment of inertia J = 32d * in mm +. Theoretical Torque (N.mm) for an Angle of 30 D = 4.6 mm D = 6.3 mm D =79 mm D = 6.3 mm L = 300 mm L = 300 mm L = 300 mm L = 600 mmPage 4 of 4 5- Noting that the theoretical relationship indicates that p is a linear function of 7, plot in each of the two previous graphs, the theoretical relationship, as a dashed lime, by connecting the appropriate theoretical torque at 3", calculated in Step 3 of Part B, to the origin, extending each line to match the experimental data points. (20 points) 6- By observing where the experimental data points are located relative to the theoretical line, comment on the agreement between the experimental and theoretical relationships in the space below. (10 points)Hi everyone. This is Pouria Tavakkoli, instructor of ROBO240. The third experiment of ROBO 240 is Torsion Test. The objective of the experiment is to experimentally determine the angle of twist due to torsion for a circular steel shaft using different shaft diameters and different shaft lengths. Then, to compare the experimental angle of twist with the theoretical values. We are going to do torsion test on four different specimens. All these specimens are made of Steel but their geometry is different. The first one has the diameter of 4.6 mm, the length of 300 mm, the second one has the same length but its diameter is 6.3 mm, the third one has the same length but its diameter is 7.9 mm, and the fourth one has the diameter of 6.3 mm and its length is 600 mm. This is our torsion test setup. I have already mounted the second specimen which has the diameter of 6.3 mm and length of 300 mm. I have applied the pre-load of 5 N but I have already zeroed the indicator (measuring the angle of twist). Now, I'm going to apply the first load of 10 N. 10 N multiplied by moment arm which is 100 mm, it will produce the torque of 1,000 N.mm. The load of 10 N which produces the torque of 1,000 N.mm, it produces the angle of twist of 1.4 degrees. We will record the numbers with positive values. Therefore, our first reading is 1.4 degrees. So, for the first loading which is 10 N, the angle of twist is 1.4 degrees. I added another 10 N, the angle of twist is 2.9 degrees. The applied load is 30 N, and the angle of twist is 4.3 degrees. Next reading: 5.6 degrees. Next reading: 7 degrees. Now, the applied load is 60 N producing the torque of 6,000 N.mm, it produces the angle of twist of 8.4 degrees. I have finished Part A of the experiment; these are all the readings you require to complete Part B. To get the full mark for this lab, you need to answer the questions in Part B. It includes five questions