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The beam hypothesis has been used to analyze bending tests for determining the Young's modulus.
Based on von Kármán geometric nonlinear theory and Euler Bernoulli beam hypothesis, the nonlinear equations of motion for the fiber-metal laminated beams under moving loads are derived by using Hamilton's principle.
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If shear reinforcement based on the plain section hypothesis (beam theory) is designed, its uniform distribution along the length of the member can lead to failure, as in Fig. 1.
(5.b) and (6.b) are derived from composite beam theory where Bernoulli's hypothesis is applied.
Thermal and mechanical stresses have been calculated based on the hypothesis of Classical Beam Theory.
Similar to the design analysis of reinforced concrete beam, the hypothesis for the rigid-plastic equilibrium of the forces across the section is adopted for the analysis of the flexural strength of the retrofitted beam.
Polyurethane foam was employed to fill the core of the beam to eliminate any hypothesis of global buckling.
A model to validate this concept is presented in this paper; this analytical model is based on typical material law behaviour hypotheses of beam nonlinear mechanical behaviour.
Furthermore, the Timoshenko beam kinematic and appropriate hypotheses on the stress field are considered in order to enforce the boundary equilibrium.
The analytical model of beam is based on this hypothesis.
The mathematical model of three-layered beams developed based on the hypothesis of the Grigolyuk Chulkov and the modified couple stress theory and the size depended equations governing the layers motions on the micro- and nano-scales is constructed.
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