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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. 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.

  3. 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.

  4. 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

  5. eng.libretexts.org › Bookshelves › Mechanical_Engineering4.3: Beam Displacements - Engineering LibreTexts

    \(\delta_P = \dfrac{PL^3}{48EI}\) where the length \(L\) and the moment of inertia \(I\) are geometrical parameters. If the ratio of \(\delta_P\) to \(P\) is measured experimentally, the modulus \(E\) can be determined.

  6. ocw.mit.edu › courses › 16-01-unified-engineering-i-ii-iii-iv-fall-2005-springM9 Truss Deflections and Statically Indeterminate Trusses

    Displacement diagram (to Scale) Horizontal Displacement = PL AE to the left vertical displacement = 12.9 PL AE

  7. eng.libretexts.org › Bookshelves › Civil_Engineering1.8: Deflections of Structures- Work-Energy Methods

    24 sie 2023 · First, applying a virtual or fictitious unit load Pv = 1 at a point Q, where the deflection parallel to the applied load is desired, will create an internal virtual or imaginary load f and will cause point Q to displace by a certain small amount.