2. Consider the below dam with a height of H = 80 m, base of B...

Transcribed Image Text:

2. Consider the below dam with a height of H = 80 m, base of B = 60 m, and length of Lz = 1 km. Water is taken to be incompressible with p = 1000 kg/m at Earth's surface, g = 9.81 m/s. B 0 = pgx (tan B) The stress field in the solid material composing the dam is given as -pgy pgx (tan B) 0 2pgx (tan B) + K 0 p = pgy linear pressure profile pgy (tan B) 0 i. Compute the traction vector acting on the vertical face of the dam at (x = 0, y = 40 m). Hint: First evaluate the stress field at (x = 0, y = 40 m). Next, multiply the stress matrix by the outward normal vector of the vertical face, i.e. n = Express your answer numerically in units of MPa. 2. Consider the below dam with a height of H = 80 m, base of B = 60 m, and length of Lz = 1 km. Water is taken to be incompressible with p = 1000 kg/m at Earth's surface, g = 9.81 m/s. B 0 = pgx (tan B) The stress field in the solid material composing the dam is given as -pgy pgx (tan B) 0 2pgx (tan B) + K 0 p = pgy linear pressure profile pgy (tan B) 0 i. Compute the traction vector acting on the vertical face of the dam at (x = 0, y = 40 m). Hint: First evaluate the stress field at (x = 0, y = 40 m). Next, multiply the stress matrix by the outward normal vector of the vertical face, i.e. n = Express your answer numerically in units of MPa.