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q= 3 kN/m B a=4m b=2m y 17 mm 63 mm A beam ABC with an overhang from B to C supports a uniform
q= 3 kN/m B a=4m b=2m y 17 mm 63 mm A beam ABC with an overhang from B to C supports a uniform load of 3 kN/m throughout its length. The beam is a channel section with dimensions as shown in the figure. The moment of inertia about the z axis (the neutral axis, I) equals to 210 cm. (a) Calculate the maximum tensile stresss and maximum compressive stress due to the uniform load. (b) Find the required span length a that results in the ratio of larger to smaller compressive stress being equal to the ratio of larger to smaller tensile stress for the beam. Assume that the total length L = a + b = 6 m remains unchanged. m B 3 m 20 mm 70 mm 20 mm 50 mm B The overhang beam is subjected to the uniform distributed load having an intensity of w 50 kN/m. Answer to the following questions. (a) Draw SFD and BMD, respectively, following the sign convention we learned in the class. (b) Determine the maximum tensile stress in the beam. (c) Determine the maximum shear stress in the beam.
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