Thursday, June 20, 2019
Torsion Lab Report Example | Topics and Well Written Essays - 1500 words
Torsion - Lab Report ExampleFenner and other (1984) indicated that the modulus of rigidity is devoted by the ratio of stress to shear strain often represented mathematically as ?/?. As widely cited, modulus of rigidity is essential in mensuration the materials shear stiffness and it is known to be analogous to Youngs modulus for any elastic behaviour in compression or tension (Benham, Crawford & Armstrong, 1996). Given that a ductile material component useful in providing shear, an individual need to note that the maximum shear stress is safety, which is slight than the materials yield shear stress (?y). However, a brittle material the criterion of failure is based upon its tensile stress (Gere &Timoshenko, 1984). Research indicate that the theory of complicatedness often give the torque in form of rotation as (1) The equation 1 above is often derived from Hookes law and it is also reasoned for the shear stresses though somewhat lower than shearing proportional limit (Case, Chil ver & Ross, 1993). In a solid circular section, it has been outlined mathematically that the polar guerilla moment of the area of dog section is abandoned by equation (2) (Ryder, 1969) (2) This implies that from (1), it can be shown that the maximum shear stress, that occurs at r = d/2, is provided by equation (3) (3) This essay deals with determining yield shear stress along with the modulus of rigidity for the specimen of brass and mild steel of a circular cross section. Apparatus In this experimental set up, there were various sets of apparatus utilize. Among them were the torsion machine, a torsion bar, a gearbox, a torque meter, two protractors, a counter, and a hand-wheel. This way, a torsion machine was used for carrying out a test involving a specimen that was accommodated within the socket at individually end. The 601 reduction gearbox served the purpose of manually applying the angular displacement at the left- hand side. The torsion bar was essential in this experim ent given that it was used for measuring the torque when at right-side with a torque meter being used for reading digital data. The two protractors listed above were vital in this experiment since they were used for purposes of measuring the rotation of the specimen. They were placed at the gearbox, in which case, one was placed at the input hand wheel along side a 6 degrees scale, while the second gearbox was placed at the specimen shaft at 360 degrees scale. The counter, on the other hand, was used in providing the number of revolutions each of which might be zeroed. Last but not least, the hand-wheel placed at the torque meter assembly was used in returning the right-hand of the given specimen back to the original position. Procedure It is worth enlisting that this lab exercise involved 2 experiments experiment 1 and experiment 2. This implies that there were specialized procedures for specific experimental set up. In experiment 1, which involved determining the modulus of rigid ity G for brass and mild steel, the procedure for the experiment involved the next steps. 1. The diameter of the each of the cylindrical portion of the specimen was measured. 2. Using the level, the torque meter hand-wheel was adjusted in ensuring that the torsion bar, as well as the excursus bar is maintained close to and as parallel as possible. 3. The dial gauge was thusly set to zero through rotating the outer bezel. 4. The specimen was then accommodated in the right hand hexagonal
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