A beam of length /= 1m, which is clamped at both ends, is modelled using four flexural elements. The first modeshape of the beam is described by:20.5443.0451.0000.0000.544- 3.045Note that Y₁ = ₁=Y₁ = =0 due to the boundary conditions. Recalling that displacement of a flexural element is given by:0y=S₁₂(x) y₂ +S₂(x) @ + S₂(x) y₂ + S₂(x) O111/22where the shape functions are given by:2$, (x) = 1 - 3 ( - ) ²+ ² ( ² ) ³*+2x3$₂(x)=x- 2 + ² + + ²2L L²x$₂(x) = ³ ( 7 ) * - 2 ( ² ) ³+2 x35(x) = -1/ 2 + + 20S₂(x)LL²Find the displacement of the first modeshape at position x=//8. Express your answer to three decimal places and do not include units in your answer.

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A beam of length /= 1m, which is clamped at both ends, is modelled using four flexural elements. The first modeshape of the beam is described by: O e O 0.544 3.045 1.000 0.000 0.544 -3.045 Note that Y₁ = ₁=Y₁ == 0 due to the boundary conditions. Recalling that displacement of a flexural element is given by: 1 1 5 5 y=S₂(x) y₂ +S₂(x) + S₂(x) y₂ + ₂(x) ₂ O 1 2 where the shape functions are given by: $₁(x) = 1-3 ( ² ) ² + 2 (²) ² S₂(x)=x-2-² +²2 L L2 $₂(x) = 3 ( ² ) ² - ² (+) ² x² x3 + S₂(x)=-I L² Find the displacement of the first modeshape at position x=//8. Express your answer to three decimal places and do not include units in your answer.

A beam of length /= 1m, which is clamped at both ends, is modelled using four flexural elements. The first modeshape of the beam is described by: O e O 0.544 3.045 1.000 0.000 0.544 -3.045 Note that Y₁ = ₁=Y₁ == 0 due to the boundary conditions. Recalling that displacement of a flexural element is given by: 1 1 5 5 y=S₂(x) y₂ +S₂(x) + S₂(x) y₂ + ₂(x) ₂ O 1 2 where the shape functions are given by: $₁(x) = 1-3 ( ² ) ² + 2 (²) ² S₂(x)=x-2-² +²2 L L2 $₂(x) = 3 ( ² ) ² - ² (+) ² x² x3 + S₂(x)=-I L² Find the displacement of the first modeshape at position x=//8. Express your answer to three decimal places and do not include units in your answer.

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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