Theory of simple bending (assumptions) Material of beam is homogenous and isotropic => constant E in all direction Young’s modulus is constant in compression and tension => to simplify analysis Transverse section which are plane before bending before bending remain plain after bending. => Eliminate effects of strains in other direction (next slide) Beam is initially straight and all longitudinal filaments bend in circular arcs => simplify calculations Radius of curvature is large compared
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for reactions‚ shear force and moment for: a. Simply supported beam b. Simply supported beam with one end overhanging c. Simply supported beam with both ends overhanging. 2. To calculate shear force and moment using influence line 3. To determine maximum shear force and moment 4. Calculate Absolute Maximum Moment (MMM) 4.1 INTRODUCTIONS: Influence line is to: Analysis a structure due to moving load along the beam. Show the changes in reaction‚ shear stress‚ moment and displacement in certain point
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DEPARTMENT OF CIVIL ENGINEERING COLLEGE OF ENGINEERING CEMB 121 MECHANICS OF MATERIALS LABORATORY LABORATORY EXPERIMENT NO. 3 BENDING OF BEAMS - (a) Bending Moment I (b) Bending Moment II SECTION 1 GROUP NUMBER 3 GROUP MEMBERS 1. YEOW SU LEE ( CE085335 ) 2. JOUDI J. MOOSOM ( CE085338 ) 3. NINI EZLIN ROSLI ( CE086340 ) 4. MOHD AFIQ AFIFE BIN ABAS ( CE085310 ) 5. ROHAM HADIYOUN ZADEH ( CE085851 ) DATE OF LABORATORY SESSION 6 DECEMBER 2010
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Bending Moment EXPERIMENT 2B: SHEAR FORCE AND BENDING MOMENT 1. ABSTRACT Performance-based design approach‚ demands a thorough understanding of axial forces. Bending characterizes the behavior of a slender structural element subjected to an external load applied perpendicularly to a longitudinal axis of the element. By this experiment we can verify the limit load for the beam of rectangular cross-section under pure bending. Moments at the specific points are calculated by the method of statics
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Introduction A bending moment is simply defined as “the algebraic sum of the moments of all the forces which induces bending of an element” (1). The aim of this assignment is to work out the bending moment in a simply supported beam when different concentrated loads are applied to it. A simply supported beam is a structure‚ usually with a straight profile supported at the ends‚ often pinned on one side and simply supported or on a roller on the other. There will be three series of loads applied
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Objective The objective of this experiment is to compare the theoretical internal moment with the measured bending moment for a beam under various loads. Introduction and Background Theory Definition of a Beam Members that are slender and support loadings that are applied perpendicular to their longitudinal axis are called beams. Beams are important structural and mechanical elements in engineering. Beams are in general‚ long straight bars having a constant cross-sectional area‚ often classified
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Applied mechanics laboratory report “Measurement of bending moment and shear forces for structural analysis” Azamat Omarov ID201102658 1.Theory and background 1.1 Summary That performed laboratory session on bending moments and shear forces requires good understanding and sufficient knowledge of axial forces. Bending is defined as a behavior of any structural element that undergoes the external load‚ which is applied perpendicularly to longitudinal axis. That experiment helps us to find
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determine both the theoretical and actual support reactions of a simple vertically loaded beam‚ showing that the loadings on the supports are directly proportional to the distances of the loads from the supports; thus illustrating the principle of the moments of forces. 2. To determine the beam support reactions for a horizontal beam carrying vertical loads at positions across the span. APPARATUS Two support stands‚ beam of uniform round bar‚ load hangers‚ known loads‚ two spring balances with suitable
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analysis Objectives: 1- To determine the experiment value of stress in three direction axial‚ radial and tangential. 2- To calculate the theoretical stress. 3- To plot a graph that compares experiment and theoretical value of stress. Theory: If a thick –walled vessel is placed under internal pressure‚ a axial stress state is created in the walling.The axial stress state incorporates radial‚ tangential and axial stresses and their magnitudes are obtained by the following formula:
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TOPIC: Spring Mass Oscillator OBJECTIVE: To determine the spring constant (K)‚ using mass system. APPARATUS: STEEL RULE SPRING STOP WATCH TAPE MEASURE SLOTTED MASS THEORY: In classical mechanics‚ a harmonic oscillator is a system which ‚ when displaced from its equilibrium position‚ experience a restoring force‚ F‚ proportional to the displacement‚ X‚ according to Hooke’s Law; F = – KX = mα …………………………………. Where‚
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