A single story building model is shown in the figure. The rigid bar of mass 'm' is supported by three massless elastic columns whose ends are fixed against rotation. For each of the columns, the applied lateral force (P) and corresponding moment (M) are also shown in the figure. The lateral deflection (8) of the bar is given by PL3 8 = 12EI column. E is the Young's modulus of elasticity where L is the effective length of the %3D and I is the area moment of inertia of the column cross-section with respect to its neutral axis. Rigid bar P cmo To lo Column Building model Lateral deflection profile of any column For the lateral deflection profile of the columns as shown in the figure, the natural frequency of the system for horizontal oscillation is
A single story building model is shown in the figure. The rigid bar of mass 'm' is supported by three massless elastic columns whose ends are fixed against rotation. For each of the columns, the applied lateral force (P) and corresponding moment (M) are also shown in the figure. The lateral deflection (8) of the bar is given by PL3 8 = 12EI column. E is the Young's modulus of elasticity where L is the effective length of the %3D and I is the area moment of inertia of the column cross-section with respect to its neutral axis. Rigid bar P cmo To lo Column Building model Lateral deflection profile of any column For the lateral deflection profile of the columns as shown in the figure, the natural frequency of the system for horizontal oscillation is
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A single story building model is shown in the
figure. The rigid bar of mass 'm' is supported by
three massless elastic columns whose ends are
fixed against rotation. For each of the columns,
the applied lateral force (P) and corresponding
moment (M) are also shown in the figure. The
lateral deflection (8) of the bar is given by
PL3
8 =
12EI
column. E is the Young's modulus of elasticity
where L is the effective length of the
and I is the area moment of inertia of the column
cross-section with respect to its neutral axis.
Rigid bar
M
P.
Column
Building model
Lateral deflection
profile of any column
For the lateral deflection profile of the columns as
shown in the figure, the natural frequency of the
system for horizontal oscillation is
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