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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 × 10-4 m B www. 1 m k= = 2 × 108 N/m////// Figure 1

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 × 10-4 m B www. 1 m k= = 2 × 108 N/m////// Figure 1

Structural Analysis
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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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
Transcribed Image Text: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
c) Calculate the vertical deflection at the mid-span of the beam (with the vertical spring) under a vertical force P = 200 kN as shown in the figure.
Transcribed Image Text:c) Calculate the vertical deflection at the mid-span of the beam (with the vertical spring) under a vertical force P = 200 kN as shown in the figure.
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