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Structural Analysis with the Finite Element Method Linear Statics: Volume 2. Beams, Plates and Shells [EXP-2918]

28 SOLVED PROBLEMS

Comparison of open and closed thin-walled sections.

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The torsional behaviour of thin-walled closed sect...

Computation of ω, Sω and Iω for a double L-shaped section.

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Let us consider the thin-walled section shown in t...

Compute the stiffness matrix and the self-weight equivalent nodal modal force amplitude vector for a 3-noded triangular

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The faces of the prism are linear triangles (Figur...

Derive a 2-noded beam element by imposing the condition of zero transverse shear strain at the two Gauss points

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The transverse shear strain distribution for the q...

Derive a beam element with linear bending and constant transverse shear fields starting from the cubic/quadratic

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Figure 2.10 shows the original element and the cub...

Derive the 2-noded Euler-Bernoulli beam element by imposing the condition of zero transverse shear strain over the

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The transverse shear strain is obtained as ...

Derive the beam element of the previous example starting from the standard quadratic Timoshenko beam element in

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The curvature and transverse shear strain fields f...

Derive the displacement field for an unloaded beam segment by integrating the differential equation of equilibrium.

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Let us consider the beam segment of length l of Fi...

Derive the generalized constitutive matrix Dˆ‘ for an arbitrary position of the beam axis.

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Let us assume that the {x}' axis d...

Derive the linked interpolation of Eq.(2.68) for the 2-noded Timoshenko beam element. Eq.(2.68)

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The starting point is the 3-noded Timoshenko beam ...
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