Shown in the following figures, a wood beam (L = 5 m) with rectangular cross section...

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Shown in the following figures, a wood beam (L = 5 m) with rectangular cross section (b=300 mm, h = 400 mm) carries uniform load q = 10 kN/m. Young's modulus of the beam is 15 GPa. Ignore the weight of the beam. A i) When the beam is simply supported at the two ends A and B as shown in Fig. (a), determine the expression of deflection equation of the beam and sketch the deflection curve. ii) When an additional roller support is added at C, the mid-span of the beam as shown in Fig. (b), determine the reaction forces at all the supports. 9 L Figure (a) B OOO b h A 9 OOO C L Figure (b) B Shown in the following figures, a wood beam (L = 5 m) with rectangular cross section (b=300 mm, h = 400 mm) carries uniform load q = 10 kN/m. Young's modulus of the beam is 15 GPa. Ignore the weight of the beam. A i) When the beam is simply supported at the two ends A and B as shown in Fig. (a), determine the expression of deflection equation of the beam and sketch the deflection curve. ii) When an additional roller support is added at C, the mid-span of the beam as shown in Fig. (b), determine the reaction forces at all the supports. 9 L Figure (a) B OOO b h A 9 OOO C L Figure (b) B