Question: The 8 m long cantilever beam shown in Figure Q13a, with a cross section shown...

 

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Question: The 8 m long cantilever beam shown in Figure Q13a, with a cross section shown in Figure Q13b, has a uniformly distributed load of 2 kN/m across its full length and a point load of 4 kN at its midspan. a) Determine the reaction forces, shear force and bending moment equations along the beam and sketch the corresponding diagrams, clearly showing the magnitudes and locations of the maximum values. [10 marks] b) Calculate the second moment of area, I, for the beams cross section. Take the vertical distance from the bottom of the beam to the centroid (neutral axis) of the section to be 40.3mm. [5 marks] c) Using the method of integration, determine the deflection at the midspan of the beam. Assume the Youngs Modulus of the beam to be 205 GPa. [10 marks] 4m 4 kN Figure Q13a 2 kN/m 4m N.A 70 mm y 100 mm 8 mm t = 10 mm 100 mm Figure Q13b 12 mm Question: The 8 m long cantilever beam shown in Figure Q13a, with a cross section shown in Figure Q13b, has a uniformly distributed load of 2 kN/m across its full length and a point load of 4 kN at its midspan. a) Determine the reaction forces, shear force and bending moment equations along the beam and sketch the corresponding diagrams, clearly showing the magnitudes and locations of the maximum values. [10 marks] b) Calculate the second moment of area, I, for the beams cross section. Take the vertical distance from the bottom of the beam to the centroid (neutral axis) of the section to be 40.3mm. [5 marks] c) Using the method of integration, determine the deflection at the midspan of the beam. Assume the Youngs Modulus of the beam to be 205 GPa. [10 marks] 4m 4 kN Figure Q13a 2 kN/m 4m N.A 70 mm y 100 mm 8 mm t = 10 mm 100 mm Figure Q13b 12 mm