Lab # 1 Christian Axios Submitted: October, 4 2016 By: Christian Axios Partner: Coby Bryant Reviewed by: Connor Shoening Section: 27 I. Abstract: Over the course of the last few weeks my lab partner and I have conducted tests on different material of metal rods. During this time, we collected data regarding the stress and strain of the given materials and were able to come up with a report including statements about the significance and importance of their designated yield strength. II. Introduction: The purpose of this experiment was to determine the relation of affect that the shear force has based on the diameter of the rod. In order to find the double shear stress and since the lab procedure was based on a shear stress conducted on both sides, we were able to divide our answer by two for the result. The second part of the lab was to find the mean modulus of rigidity based on the two weeks of results followed by the calculation of each of the changing variables such as diameter and material. To get the angle of twist we used the formula: (1) We used this equation along with the force and displacement data to determine the normal stress of the rod when it was axially loaded. P is the applied load and A is the cross sectional area of our sample. (2) This next equation was used to find the strain. This result is calculated in order to find the ratio of the change in length to the original length. ____ is the amount of
The specimen ends were not thick or had moving wedge grips to keep it secure in the holders of the servo-hydraulic load frame. The movement of the specimen in the machine causes some of the data to be an inaccuracy. Also, the transverse strain causes issues with the strain gages that are called transverse sensitivity. The transverse sensitivity affects the accuracy of the data that is being collected for the transverse strain more than the longitudinal strain. This is greatly seen in the percent difference in the strain values such as in one case the Longitudinal strain was .4% while the transverse strain was 30%. Another issue with the strain gages was that if the strain gages weren’t properly placed on the specimen the data accuracy would
Introduction During this lab you will become more familiar with the concepts of torque. The purpose of this lab is to determine if the rotational equilibrium condition, Στ = 0, holds experimentally. Equipment Meter stick (1) - no metal ends Fulcrum (1) Clamps (4) Weight Hanger (1) Mass Set (1) Digital Scale (1)
While calculating the results from the collected data, the thin plate shows non-linear behaviour such that stress does not vary linearly with strain. In theory when pressure is concentrated at the centre of a circular plate, stress value decreases with respect to increasing radial distance from the centre. However in this case, we see that there are two principal stresses and they behave differently than one another. This experiment will introduce us to a new strain gauge called strain gauge rosette used for multi-channel strain measurement and other equations to calculate principal stresses and strains in a two-dimensional state.
Load acts over outer circumference of on end of the cylinder, while the other end remains against a
With respect to the diathesis-stress model, discuss two potential stresses (4 points) relevant to the case.
a) As the tension is increased (without changing anything else), does the number of segments increase or decrease?
Experiment Two: Stiffness Report from laboratory work performed on 12 May 2011 as a part of the unit of study CIVL2201 Structural Mechanics
Deflections of a beam are important to be able predict the amount of deflection for a given loading situation. This experiment addresses determining the yield point for a material to fail, so the stress in the material does not have to reach to that point. This is where understanding beam deflection becomes a useful tool. This experiment is using beam deflection theory to evaluate and compare observed deflection per load values to theoretical values. Beam deflection experiment done by four parts. Part 1 -Simple Supported Bean, part
Workings: To calculate the ratio, the actual length measurement is divided by the drawing length measurement. The measurements need to be represented in fraction form. The drawing length is 4cm and the actual length is 8mm.
Examine the apparatus. The top measurement device is the force sensor and will be connected into A analog input of the Science Workshop interface.
A synopsis is also given at this section. It is nearly impossible not to draw any reference during the compilation of this report and any papers referenced are given under the section, references. An appendices is attached at the end of this paper to outline the detailed derivation of formulas provided without proof in the section theory. II. Background A bifilar suspension is, literally, one in which two (bi) filaments (filar) support a rod. It is used in this study to show that the full relationship between the periodic time T, the length l of the vertical suspension threads and their distance d apart is:
Hence, the hoop stress can be used to decide the diameter (diameter ∝ hoop stress) of the pressure vessel and choose convenient material with required material strength.
Biaxial tensile testing were conducted by means of EnduraTec ELF 3200 (Bose, Minnesota, USA). This mechanical tester has two vertical axes each of which has a 1 kg load-cell (Model 31, Sensotec Honeywell) and a displacement transducer. The apparatus is equipped with a black-and-white CCD-camera video-extensometer (Watec America LCL 902C camera with Computar TEC55 Lens), allowing the automatic tracking of gauge marks, four dots forming a square plotted on the surface of the specimens.
Purpose: The purpose of this Physics Lab is to investigate what factors determine the amount of flexion of the cantilever. Hence, the objective is to establish a relationship between the length of a cantilever, which may give some insight into the physics of cantilevers.
Following tables and graphs show the result of the experiment. The tables will demonstrate the experimental and theoretical deflection for each case. The graphs will show the relationship between the load applied and deflection, in addition to compare the experimental deflection and theoretical deflection.