1.0 INTRODUCTION 1.1 Beam Deflections 1.2 Theory - Calculations DeflectionF formula for the load given above: A determination of flexural stress yields: When rectangular it is Where; δ = Deflection (mm) E = Coefficient of Elasticity L = Span (mm) I = Inertia Factor Mb = Moment of flexure (Nmm) F1 = Load occasioned by weight Wb = Resistance to flexure (mm3) of Load Device (N) σb = Flexural Stress (N/mm2) F = Load of occasioned by
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Assignment 9 – Beam Deflection Experiment Report 1) L(mm) L3 680 314432000 700 343000000 800 512000000 900 729000000 1000 1E+09 1100 1.331E+09 1200 1.728E+09 This graph shows a strong linear relationship the deflection and L3. The black line on the graph shows a trend line found from the regression of the data, it lines up very well with the experimental data showing it is fairly accurate. The graph shows y to be proportional to L3 (y ∝ L3), hence y=K L3 where K is a constant
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safety or 2. This factor of safety was expected to be the outcome in FEA SolidWorks and it was not. The reason for this is simply SolidWorks is not the best tool to use for complex designs and loads as ours was. It worked great for the simple beam deflection in the last project. Many times hand calculations are the long way of doing things. In this case, it took much longer to figure out the correct way of adding fixtures, load, and connections in SolidWorks. Many of the material properties in SolidWorks
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Experiment 7: Deflection of beams (Effect of beam length and width) 1. OBJECTIVE The objective of this laboratory experiment is to find the relationship between the deflection (y) at the centre of a simply supported beam and the span, width. 2. MATERIALS - APPARATUS Steel Beams, Deflection measuring device, 500g weight 3. INTRODUCTORY INFORMATION The deflection of a beam, y, will depend on many factors such as: - • The applied load F (F=m•g). • The span L. • The width
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questions. 1. When the deflections of a statically determinant beam are calculated using singularity functions, it is necessary to know the values of 2 boundary conditions. For each of the beams below, what are the boundary conditions? 2. Calculate the reactions and draw the SFD and BMD for the cantilever beams below. Using singularity functions, calculate the deflection at 2 metres, the deflection at the tip, and sketch the deflected shape. The cross section of the beam is 300 mm deep by 200
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of discipline chosen was Structures. Situation The assignment precisely emphasizes on Beams for the construction of a residential apartment, which is closely interrelated with columns and slabs. Controls: 1) Configurations of beam span. (Width, length, shape, bracing) 2) Material particularities (steel, bar spacing, concrete, admixtures) 3) Known/ Estimated Loads on beam Pattern of the geometry could be modified at any stage to optimize the objective. Along with
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INFLUENCE LINE FOR DEFLECTION 2 1.1. INTORDUCTION 2 1.2. OBJECTIVES 2 1.3. EQUIPMENT NEEDED 2 1.4. PROCEDURE 3 1.5. RESULTS 4 1.6. ANALYSIS OF THE RESULTS 4 1.7. DISCUSSION 6 1.8. CONCLUSION 7 1.9. REFERENCES 7 LIST OF FIGURES and CHARTS Figure 1: Force diagram for influence line of deflection Figure 2: Set-up for influence line of deflection Chart 1: Deflection curves (0 N, 5 N, 10 N) Chart 2: Deflection curves (15 N, 20 N, 25 N) EXPERIMENT 1: INFLUENCE LINE FOR DEFLECTION 1.1
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Experiment 3 Bending test – tensile strength Objective: 1. To investigate the relationship between load, span, width, height and deflection of a beam, placed on two bear affected by a concentrated load at the center. 2. To ascertain the coefficient of elasticity for steel, brass, aluminum and wood. Theory The stress-strain behavior of brittle materials (e.g. ceramic, low toughness composite material) is not usually ascertained by tensile tests as outline in Exp. 1. A more suitable transverse bending
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Forces and Bending Moments 4.1 Introduction Consider a beam subjected to transverse loads as shown in figure, the deflections occur in the plane same as the loading plane, is called the plane of bending. In this chapter we discuss shear forces and bending moments in beams related to the loads. 4.2 Types of Beams, Loads, and Reactions Type of beams a. simply supported beam (simple beam) b. cantilever beam (fixed end beam) c. beam with an overhang 2 Type of loads a. concentrated load
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mraChapter 9 9.1 Introduction Deflections of Beams in this chapter, we describe methods for determining the equation of the deflection curve of beams and finding deflection and slope at specific points along the axis of the beam 9.2 Differential Equations of the Deflection Curve consider a cantilever beam with a concentrated load acting upward at the free end the deflection in the y v is the displacement direction of the axis the angle of rotation (also called slope) is the angle
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