1. A beam element with length L = 10.0 m is used in a finite element analysis and the displacement and rotation of the nodes of the beam are vy = -3.25 x 10-6 m, 01 = -3.15 x 10- rad vz = 0 and o2 = 1.12 x 10- rad. For this beam element, find the deflection, normal strain, normal stress and bending moment at the center of the beam element. Assume the beam Young's modulus and Poisson's ratio are respectively 200 GPa and 0.3. The beam second moment of inertia I = 5 x 10- m'.

1. A beam element with length L = 10.0 m is used in a finite element analysis and the displacement and rotation of the nodes of the beam are vy = -3.25 x 10-6 m, 01 = -3.15 x 10- rad vz = 0 and o2 = 1.12 x 10- rad. For this beam element, find the deflection, normal strain, normal stress and bending moment at the center of the beam element. Assume the beam Young's modulus and Poisson's ratio are respectively 200 GPa and 0.3. The beam second moment of inertia I = 5 x 10- m'.

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

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

1. A beam element with length L = 10.0 m is used in a finite element analysis and
the displacement and rotation of the nodes of the beam are vi = -3.25 x 10-6 m,
01 = -3.15 x 10-5 rad vz = 0 and o2 = 1.12 x 10- rad. For this beam element, find
the deflection, normal strain, normal stress and bending moment at the center of the
beam element. Assume the beam Young's modulus and Poisson's ratio are respectively
200 GPa and 0.3. The beam second moment of inertia I = 5 x 10-5 m'.

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