Consider a (simply supported) beam with E = 210 x 10^9 [N/m^2], 1 = 5 x 10^-4 [m^4] and L = 3 [m]. Suppose at 2 [m] away from the fixed end, a spring (k = 1 x 10^8 [N/m]) is attached to support a mass m = 100 [kg] (all directions aligned with gravity). Find the equivalent spring constant of the described system. E, I, L 2 [m] www m 1 [m] Figure: Setup with a simply supported beam and mass at 2/3 distance suspended by spring k. a. 3.32 x 10^7 [N/m] b. 5.48 x 10^8 [N/m] O c. 7.02 x 10^7 [N/m] O d. 3.36 x 10^8 [N/m]

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Consider a (simply supported) beam with E = 210 x 10^9 [N/m^2], 1 = 5 x 10^-4 [m^4] and L =
3 [m]. Suppose at 2 [m] away from the fixed end, a spring (k = 1 x 10^8 [N/m]) is attached to
support a mass m = 100 [kg] (all directions aligned with gravity). Find the equivalent spring
constant of the described system.
E, I, L
2 [m]
www
m
1 [m]
Figure: Setup with a simply supported beam and mass at 2/3 distance suspended by spring k.
a.
3.32 x 10^7 [N/m]
b. 5.48 x 10^8 [N/m]
O c. 7.02 x 10^7 [N/m]
O d. 3.36 x 10^8 [N/m]
Transcribed Image Text:Consider a (simply supported) beam with E = 210 x 10^9 [N/m^2], 1 = 5 x 10^-4 [m^4] and L = 3 [m]. Suppose at 2 [m] away from the fixed end, a spring (k = 1 x 10^8 [N/m]) is attached to support a mass m = 100 [kg] (all directions aligned with gravity). Find the equivalent spring constant of the described system. E, I, L 2 [m] www m 1 [m] Figure: Setup with a simply supported beam and mass at 2/3 distance suspended by spring k. a. 3.32 x 10^7 [N/m] b. 5.48 x 10^8 [N/m] O c. 7.02 x 10^7 [N/m] O d. 3.36 x 10^8 [N/m]
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