A cantilever I beam is subjected to a load as shown in Fig. la and b. A concrete

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A cantilever I beam is subjected to a load as shown in Fig. la and b. A concrete splitting test is conducted with a cylinder (6 m in diameter and 12 in long) and the cylinder fails at a load of 58500 lb (Fig. 1c). Determine the maximum load P that the beam can carry up to cracking at the support. Hint: sigma = My/I where sigma = flexural stress; M = applied moment; y = distance from the neutral axis to the extreme tension fiber of the beam; and I is the moment of inertia of the section. Fig. 1 A concrete beam test (not to scale): (a) test scheme; (c) cross section; (c) cylinder splitting test (source: http://theconstmctor.org)

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