If the bearing pads at \(A\) and \(B\) support only vertical forces, determine the greatest magnitude of the uniform distributed loading \(w\) that can be applied to the beam. \(\sigma_{\text {allow }}=15 \mathrm{MPa}\), \(\tau_{\text {allow }}=1.5 \mathrm{MPa}\).

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W A 1 m 150 mm, 25 mm 150 mm H 25 mm 1 m B