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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.
The Maxwell–Mohr procedure presents a universal method for computation displacement at any point of any deformable structure. Also, the Maxwell–Mohr procedure allows calculating mutual displacements. Different sources, which cause displacements of a structure, are considered. They are different types of and change of temperature.
In the linear portion of the stress-strain diagram, the tress is proportional to strain and is given by $\sigma = E \varepsilon$ since $\sigma = P / A$ and $\varepsilon = \delta / L$, then $\dfrac {P} {A} = E \dfrac {\delta} {L}$ $\delta = \dfrac {PL} {AE} = \dfrac {\sigma L} {E}$ To use this formula, the load must be axial, the bar must have a ...
(a) Determine the deflection of a coil spring under the influence of an axial force \(F\), including the contribution of bending, direct shear, and torsional shear effects. Using \(r = 1\ mm\) and \(R = 10\ mm\), compute the relative magnitudes of the three contributions.
the constants of integration by evaluating our expression for displacement v(x) and/or our expression for the slope dv/dx at points where we are sure of their val-ues. One such boundary condition is that, at x=0 the displacement is zero, i.e., vx()= 0 x = 0 Another is that, at the support point B, the displacement must vanish, i.e., vx() = 0
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
Beam Displacements. Beam Displacements. David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, MA 02139 November 30, 2000. Introduction.
