A SDOF portal frame fixed at its base has a mass of 1,300 kg at roof level. Lateral stiffness of frame columns together is 27,000 N/m. The initial displacement of the mass from its equilibrium position was 15 mm and the initial velocity was 17mm/s. After how many seconds since the release of the initial displacement (after t = 0) will the mass first reach its peak displacement? Note: Get the value of t without using the formula for maximum response u0, instead use a calculus method.
A SDOF portal frame fixed at its base has a mass of 1,300 kg at roof level. Lateral stiffness of frame columns together is 27,000 N/m. The initial displacement of the mass from its equilibrium position was 15 mm and the initial velocity was 17mm/s. After how many seconds since the release of the initial displacement (after t = 0) will the mass first reach its peak displacement? Note: Get the value of t without using the formula for maximum response u0, instead use a calculus method.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A SDOF portal frame fixed at its base has a mass of 1,300 kg at roof level. Lateral stiffness of frame columns together is 27,000 N/m. The initial displacement of the mass from its equilibrium position was 15 mm and the initial velocity was 17mm/s. After how many seconds since the release of the initial displacement (after t = 0) will the mass first reach its peak displacement?
Note: Get the value of t without using the formula for maximum response u0, instead use a calculus method.
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