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Calculation Example Temperature CivilEngineer # Calculation Example – Cantilever Beam, Temperature change

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The beam is fixed at end B and free at end A. It is loaded at end A with the concentrated force 2F. At the same time there is a temperature change ΔT. Calculate the length change Δx. (Modulus of elasticity E, Cross section area AS , Temperature coefficient a.)

Solution There are two causes for the length change. The first cause for the length change is force 2F. The area of the cross section of the beam is AS so the stress is ?=2F / AS . The change in length is ?x1 and the deformation of the beam is ?1= ?x1/x. The Hook law gives : ;

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