Answered: Consider a 2-DOF shear building, with…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A cube of side 100 mm is subjected to an axial compressive load of 200 kN. Its lateral strain is prevented by applying uniform pressure but only one fourth of lateral strain could be prevented, then which of the following statements is/are correct? Assume E = 200 MPa and μ = 0.3. A The decrease in length in direction of load after applying pressure is 9.358 x 10-3 mm. B The uniform pressure applied has a value of 8.57 N/mm². C The uniform pressure applied has a value of 2.14 N/mm². D The increase in length in lateral direction after applying pressure is 2.25 x 10-³ mm.
Please answer the question in the picture 1.1 , and make sure you do the right work.
Part of a two story building is shown in the figure in which a concerte column and a steel column are used in the first and second floor. The compressive force on the roof of the second floor is PC = 400 kN. The compressive force on the first floor is PB = 310 kN. The steel [Esteel = 200 GPa] column is a wide angle steel shape that has a cross section area of A2 = 1850 mm2. The concrete [Econcrete = 30 GPa] column has a circular section with a diameter of d = 530 mm.[L1 = 4.8 m, L2 = 5.8 m] What is the displacement of the column at B?in mm What is the displacement of the column at C? In mm

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Consider a 2-DOF shear building, with ?1 = 2 ?g and ?2 = 1 ?g. The lateral stiffnesses of floors are ?1 = 10 ?/?m and ?2 = 5 ?/?m. a. Form the mass and stiffness matrices. b. Solve Generalized Eigenvalue Problem and find vibration frequencies and mode-shapes.