b)With the vertical spring, determine the overall stiffness of the system with both the forceand displacement are vertically downward at B. Figure 1 shows a simply supported beam with a concentrated force P applied at the mid-span,B. Given the modulus of elasticity is E = 210GPa. To reduce the displacement of the system, avertical spring with spring constant ks is installed at B as shown in the figure.P1 mI= 2.5 x 10-4 m4B1 mFigure 1Ck = 2 × 108 N/m7IIIIT

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Answered: b) With the vertical spring, determine…

b) With the vertical spring, determine the overall stiffness of the system with both the force and displacement are vertically downward at B.

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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Concept explainers

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

b)
With the vertical spring, determine the overall stiffness of the system with both the force
and displacement are vertically downward at B.

Figure 1 shows a simply supported beam with a concentrated force P applied at the mid-span,
B. Given the modulus of elasticity is E = 210GPa. To reduce the displacement of the system, a
vertical spring with spring constant ks is installed at B as shown in the figure.
P
1 m
I= 2.5 x 10-4 m4
B
1 m
Figure 1
C
k = 2 × 108 N/m7IIIIT

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