A cast iron channel carries water as shown in Fig. 16.10. It is supported at two points 12 m apart. Density of water is 1000 kg/m3 and that of cast iron 7000 kg/m3. Calculate the depth of water in the channel if the tensile and compressive stresses in bending are not to exceed 20 MPa and 50 MPa respectively.

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Channel section N- T y -20mm Water 20mm 20mm t 500mm Fig. 16.10 Channel Section containing water. 320mm A