Abstract
The definition of Euler–Bernoulli beam elements is summarized in Table 3.1. The derivation in lectures normally starts with the introduction of an elemental coordinate system (x, z) where the x-axis is aligned with the principal axis of the element and the z-axis is perpendicular to the element. Based on the definition of this element, displacements \((u_{1z},u_{2z})\) can only occur perpendicular to the principal axis while the rotations \((\varphi _{1y},\varphi _{2y})\) act around the y-axis.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
This assumption is taken if a cross sectional area A is specified in the first geometry data field. If \(A=0\) is entered in the first geometry field, Marc uses the beam section data corresponding to the section number given in the second geometry field \((I_x)\). This allows specification of the torsional stiffness factor unequal to \(I_x + I_y\) or the specification of arbitrary sections using numerical section integration, see [7].
- 2.
The given second moment of area allows to calculate the side length.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media Singapore
About this chapter
Cite this chapter
Öchsner, A., Öchsner, M. (2016). Euler–Bernoulli Beams and Frames. In: The Finite Element Analysis Program MSC Marc/Mentat. Springer, Singapore. https://doi.org/10.1007/978-981-10-0821-4_3
Download citation
DOI: https://doi.org/10.1007/978-981-10-0821-4_3
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-0820-7
Online ISBN: 978-981-10-0821-4
eBook Packages: EngineeringEngineering (R0)