A machine of mass m = 500 kg is mounted on a simply supported steel beam of length = 2 m and having a rectangular cross section (depth = 0.1 m and width = 1.2 m) and Young’s modulus E= 2.06 x 1011 N/m^2. To reduce the vertical deflection of the beam by 25% of its original value, a spring of stiffness k is attached at midspan. -What is the total displacement of the system? -What is the stiffness of the spring that will limit the system displacement? -What is the total spring stiffness equivalent of the system?
A machine of mass m = 500 kg is mounted on a simply supported steel beam of length = 2 m and having a rectangular cross section (depth = 0.1 m and width = 1.2 m) and Young’s modulus E= 2.06 x 1011 N/m^2. To reduce the vertical deflection of the beam by 25% of its original value, a spring of stiffness k is attached at midspan.
-What is the total displacement of the system?
-What is the stiffness of the spring that will limit the system displacement?
-What is the total spring stiffness equivalent of the system?
-What is the arrangement of the springs in the system?
-What is the original deflection of the beam?
-What is the beam’s spring stiffness?
-What is the area moment of inertia of the beam?
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