A carbon fiber having a diameter df = 0.0003 in. is to be tested in tension

A carbon fiber having a diameter df = 0.0003 in. is to be tested in tension, according to ASTMC1557/03R08. The fiber is adhesively bonded to a backing strip with a droplet of adhesive on each end of the fiber. Assume that the adhesive droplets are hemispherical in shape with diameter D = 0.1 in. and that the adhesive shear strength is τmax = 4000 psi. If the fiber is fully embedded in the adhesive droplets over the full diameter of the droplet on each end of the fiber, and the backing strip has been cut so that all the tensile load is transmitted through the fiber, what is the theoretical maximum tensile stress, σfmax, that could be applied to the fiber?

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