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# E3_5 - NANYANG TECHNOLOGICAL UNIVERSITY First Year Common...

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NANYANG TECHNOLOGICAL UNIVERSITY First Year Common Engineering Course FORMAL REPORT FOR C3 SIMPLE BEAM EXPERIMENT TUTOR : DR POH SOON HUAT BY : OH SAY TUCK GROUP NO : A6B Content Page 1 Introduction 1.1 Objective 1.2 Theory 1.2.1 Statically Determinate Structure 1.2.2 Statically Indeterminate Structure 1.2.3 Principle of Superposition 1.2.4 Maxwell's Reciprocal Theorem 2 Experiment 2.1 Apparatus 2.2 Procedure

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2.2.1 Verification of the Principle of Superposition 2.2.2 Verification of Maxwell's Reciprocal Theorem i) Cantilever Beam ii) Propped cantilever Beam 2.2.3 Determination of reaction at simple support of a Propped Cantilever Beam 2.2.4 Deflected shape of a Propped Cantilever 3 Results and Calculations 3.1 Results tables Table 1 - readings for procedure 2.2.1 Table 2 - readings for procedure 2.2.2(i) Table 3 - readings for procedure 2.2.2(ii) Table 4 - readings for procedure 2.2.3 Table 5 - readings for procedure 2.2.4 3.2 Calculations 3.3 Graphs i) Graph of Load-deflection curve for P and P ii) Experimental and Calculated deflected shapes for the Propped Cantilever 4 Discussion 4.1 Discussion on the compatibility equations required in the case of a Fixed-ended beam 4.2 Sketches of the deflected shapes of the following beams under mid-point load and their salient features :- i) Simply Supported Beam ii) Cantilever Beam iii) Fixed-ended Beam iv) Propped Cantilever Beam 5 Conclusion 6 Reference
1.1 Objectives a) To study and verify the Principle of Superposition and Maxwell's Reciprocal Theorem. b) To analyze a propped cantilever which is a statically indeterminate beam by using the principle of superposition and compatibility equations. c) To construct the deflected shape of a propped cantilever beam under a min-span load by using maxwell's reciprocal theorem. Introduction A beam by definition is a structure member that is designed to resist forces acting transverse to its axis. It differs from bars in tension and bars in torsion primarily by virtue of the direction of the loads that act upon them. In the varied forms in which they occur ,beams are one of the most important types of members for resisting loads. Many machine and structural components function as beams ; for example , the shaft which supports a gear , the spokes in a large gear , and in addition , the gear teeth , are all loaded as beams. As such , the studies of the various types of beams will equip us with the fundamentals to the analysis of a more complex structure or machine.

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1.2 Theory In the analysis of any static structure, the number of independent equations of static formed must be equal to the number of unknowns. Unfortunately, not every problem can provide us with the number of equations equal to the number of unknowns. As such, static problems can be usually grouped into statically determinate and statically indeterminate structure.
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