An element representative of a composite comprising an isotropic fiber enveloped by the isotropic resin is shown in Figure 1. Note that the two materials stick together perfectly and that the external surface of the element is free of stress. Calculate the axial stress in the fiber (of) and that in the resin (om) in the middle of the axis longitudinal fiber (L/ 2) using the material strength approach in the case where the element is exposed to a change in temperature AT, depending on following variables The thermal expansion coefficients af and am • The Af and Am sections • The moduli of elasticity Ef and Em • AT Guide: • There is no external force • Relations to consider: balance, geometric compatibility and relation stress-strain. ΔΤ
An element representative of a composite comprising an isotropic fiber enveloped by the isotropic resin is shown in Figure 1. Note that the two materials stick together perfectly and that the external surface of the element is free of stress. Calculate the axial stress in the fiber (of) and that in the resin (om) in the middle of the axis longitudinal fiber (L/ 2) using the material strength approach in the case where the element is exposed to a change in temperature AT, depending on following variables The thermal expansion coefficients af and am • The Af and Am sections • The moduli of elasticity Ef and Em • AT Guide: • There is no external force • Relations to consider: balance, geometric compatibility and relation stress-strain. ΔΤ
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:An element representative of a composite comprising an isotropic fiber
enveloped by the isotropic resin is shown in Figure 1. Note that the two materials
stick together perfectly and that the external surface of the element is free of
stress. Calculate the axial stress in the fiber (of) and that in the resin (om) in the
middle of the axis longitudinal fiber (L/ 2) using the material strength approach in
the case where the element is exposed to a change in temperature AT, depending
on following variables
The thermal expansion coefficients af and am
• The Af and Am sections
• The moduli of elasticity Ef and Em
• AT
Guide:
There is no external force
• Relations to consider: balance, geometric compatibility and relation
stress-strain.
Fibre :
At, Er,
Of, af
Matrice :
Am, Em,
Ớm, đm
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