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  1. mathalino.com › reviewer › mechanics-and-strength-of-materialsAxial Deformation | MATHalino

    $\delta = \dfrac{PL}{AE} = \dfrac{\sigma L}{E}$ To use this formula, the load must be axial, the bar must have a uniform cross-sectional area, and the stress must not exceed the proportional limit. If however, the cross-sectional area is not uniform, the axial deformation can be determined by considering a differential length and applying ...

  2. ocw.mit.edu › courses › 16-01-unified-engineering-i-ii-iii-iv-fall-2005-springStatically Indeterminate Structures and Calculation of...

    Displacement diagrams are effectively plotting the displacement vectors of the joints as defined by the end of the bars. The displacement vector for the end of a bar is made up of two components: (1) an extension, of a magnitude defined by the bar force and the constitutive behavior of the bar which is parallel to the direction of the bar and (2) a

  3. www.physicsforums.com › threads › elastic-deformation-of-axially-loaded-membersElastic deformation of axially loaded members - Physics Forums

    You're trying to find the displacement of the bar with the load distributed longitudinally at a point A. You use the formula displacement = PL/AE where P=load, L=length of member, A=cross-sectional area tangent to the load, and E=Young's modulus.

  4. web.mit.edu › course › 3Beam Displacements - MIT

    Beam Displacements. Beam Displacements. David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, MA 02139 November 30, 2000. Introduction.

  5. spie.org › samples › PM288Chapter 1 Stress and Strain - SPIE

    Consider the beam of Fig. 1.14 axially loaded along the x axis in com-pression. If a small load or displacement is applied laterally at the location of the axial load, the beam bends slightly. If the lateral load is removed, the beam returns to its straight position.

  6. www.physicsforums.com › threads › deflection-and-modulus-of-elasticityDeflection and Modulus of Elasticity - Physics Forums

    20 mar 2011 · This is calculated using the formula d = PL/AE, where d is the end deflection of the bar in meters, P is the applied load in Newtons, L is the length of the bar in meters, A is the cross sectional area of the bar in square meters, and E is the modulus of elasticity in N/m2.

  7. mae.ufl.edu › nkim › eml5526CHAP 4 FINITE ELEMENT ANALYSIS OF BEAMS AND FRAMES - University...

    – Difficult to find approx solution that satisfies displacement BC • Finite element approximates solution in an element – Make it easy to satisfy dis placement BC using interpolation technique • Beam element – Divide the beam using a set of elements – Elements are connected to other elements at nodes