The 8-meter span AC beam made of steel material with a section height of 40 cm and a width of 20 cm carries the mass of m = 50kg at the B point. Assuming that the mass m is at rest (u (0) = 0 m / s) at t = 0 sec and has a displacement of 10 mm (u (0) = 10 mm) in the downward direction in the Single Degree of Freedom system, which is created by neglecting the mass of the beam and supports: a) Write the equation for the mass m. b) Calculate the period (T) of the vibrational motion. c) Calculate the velocity and displacement of the mass m at time t = 3 seconds. g=9.81 m/s2 , Esteel= 200 GPa
The 8-meter span AC beam made of steel material with a section height of 40 cm and a width of 20 cm carries the mass of m = 50kg at the B point. Assuming that the mass m is at rest (u (0) = 0 m / s) at t = 0 sec and has a displacement of 10 mm (u (0) = 10 mm) in the downward direction in the Single Degree of Freedom system, which is created by neglecting the mass of the beam and supports: a) Write the equation for the mass m. b) Calculate the period (T) of the vibrational motion. c) Calculate the velocity and displacement of the mass m at time t = 3 seconds. g=9.81 m/s2 , Esteel= 200 GPa
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The 8-meter span AC beam made of steel material with a section height of 40 cm and a width of 20 cm carries the mass of m = 50kg at the B point. Assuming that the mass m is at rest (u (0) = 0 m / s) at t = 0 sec and has a displacement of 10 mm (u (0) = 10 mm) in the downward direction in the Single Degree of Freedom system, which is created by neglecting the mass of the beam and supports:
a) Write the equation for the mass m.
b) Calculate the period (T) of the vibrational motion.
c) Calculate the velocity and displacement of the mass m at time t = 3 seconds.
g=9.81 m/s2 , Esteel= 200 GPa
Transcribed Image Text:40
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