Sample Calculations I-Beam (S8x18.4) Dimensions: D= 8 in; h= 7.148 in; bf= 4.001 in; tw= 0.271in; tf= 0.426in; L (length of the beam) =18.4 in I= (bf*D3 – h3 (bf – tw))/12= 57.6 in4; E (Referenced value of Young’s modulus) = 29X106 psi Theoretical Strain: ε= σ/E= (M*y)/(E*I) P = load a = distance from support to the applied load (48 in) y = distance from neutral axis to the extreme element in y-direction The sing in the theoretical strain (±) determines if the strain is in compression
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will be using Bending Light simulation found at http://phet.colorado.edu/en/simulation/bending-light II) Initial Observations: First‚ let’s get acquainted with the PhET sim that we will be using. The red button on the laser turns the light on. What do you notice about the angles of the reflected and refracted light? Briefly‚ give a qualitative description of the following features: What happens to the reflected and refracted rays as you change the angle of the incident light beam? The ray will
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Birmingham. Experiments and Statistics‚ 2014.) Objectives 1. To calculate bending moment at the “cut” using displayed force (figure 1) times the perpendicular distance between the load cell and the “cut” and see its agreement with the theory. Bending moment =Applied Load X Distance (eq. 1) 2. To examine the relationship of bending moment‚ loading and cut positions for given set of conditions. 3. To examine whether the bending moment at the ‘cut’ equal to the algebraic sum of moment of force acing
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Definition Parallel Axis Theorem on Product of Inertia Moments of Inertia About an Inclined Axes Principal Moments of Inertia Mohr’s Circle for Second Moment of Areas II. Unsymmetrical Bending II Unsymmetrical Bending Unsymmetrical Bending about the Horizontal and Vertical Axes of the Cross Section Unsymmetrical Bending about the Principal Axes 1 5/3/2011 Lecture 1‚ Part 1 Product of Inertia for an Area Consider the figure shown below y x A dA y x Product of Inertia of A wrt x and y axis:
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strain in an externally loaded beam with the help of a strain gauge indicator and to verify theoretically. Apparatus: - Strain gauge Indicator‚ weights‚ hanger‚ scale‚ verniar caliper. Formula: - f = M y I Theory : - When a beam is loaded with some external loading‚ moment & shear force are set up at each strain. The bending moment at a section tends to deflect the beam & internal stresses tend to resist its bending. This internal resistance is known as bending stresses. Following are the
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Outline No. ST01 ST02 ST03 ST04 ST05 ST06 Assessment • • Attendance: 10% Group Report: 90% (Each Lab Session: 15%). The report will be submitted 1 week after the lab session. Topic Bending Stress in a Beam Steel Bars under Pure Tensile Forces Torsion of Circular Sections Buckling of Struts Continuous and Indeterminate Beams Redundant Truss Please provide the following parts in your report: • Introduction (purpose of the experiment) • Theory • Experimental Results • Analyzing the Experimental Results
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Deflection of beams and cantilevers is an important study for clear understanding of behavioral properties of various structural components in aircrafts and around us. Various aircraft structural components such as wing and fuselage ribs and spars (or longerons) require structural analysis for research and cross-examination. Our aim is to study the phenomenal deflection changes experienced during beam and cantilever deflection‚ we will be conducting controlled experiments of various beam materials
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The purpose of this assignment is to experimentally and analytically determine shear forces and bending moments when an external load is applied in various scenarios. In turn‚ we aim to investigate the relative accuracy of such comparisons taking into considerations possible practical applications and possible attributes to the error. Additionally‚ we attempt to develop shear force and bending moment diagrams using MATLAB. Finally we investigate the loadings in a real life situation to provide
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Lab #5: Refraction of Light Theory: Refraction can be defined as the bending of a wave when it enters a medium which causes it to have some reduced speed. In terms of light‚ refraction occurs when the ray passes through some medium which slows its speed; such as water or glass. In this instance the ray tends to bend towards the normal of the medium. The amount of bending or refraction which occurs can be calculated using Snell’s Law (). Objective: To measure the index of refraction of Lucite
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a load of 1.5 tonnes along I-beam of 4 metres long. The research that we did was mainly on existing trolley cranes and the configurations of these cranes which allowed us to familiarize ourselves with what the crane does and how it works. The way that the crane operates is by having a person pull a chain. This chain is connected to a drive shaft which in turn is connected to a pinion and two wheels. These wheels allow the crane to move horizontally along the I-beam whilst sustaining a load.
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