In the undamped single storey sliding frame given in the figure, rectangular section columns are has. Column section dimensions are given in the table. E = 1.5x107 kN / m2 and g = 10m / s2 will be taken. (25P) a) Calculate the stiffness of each column. b) Calculate the natural vibration period and angular frequency of the system.  k1=column1:40x40cmxcm k2=column2:30x30cmxcm k3=column3:35x35cmxcm w:238kN h:3.05m

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.