Download e-book for iPad: Abrams Main Battle Tank M1A1 and M1A2 by Glen Broman

By Glen Broman

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L. 1 85), one gets: The above matrix equation can also be expressed in a compacted notation as: Duc T. 184), one obtains: 2 3 O(X)= [ ~ , x , x ? 193) can be recognized as the beam element shape functions N(x), hence * O(X)= [ N ( ~ ) l l x 4 ( ~ 1 4 x 1 where the shape functions [N(x)] are given as: [N(x)l= L' - 3 h 2 + z x 3 X(L' - ~ L x + x ' ) - x * ( - ~ L + Z X )x 2 ( - L + X ) L2 ' L3 ' L2 The distributed load f(x)=fo K/in acting on the beam member can be converted into the equivalent joint loads by the following formula: I.

128)). (1177), due to the following reasons: (i) The modified system stiffness matrix [Kbc] is non-singular (ii) The modified right-hand-side vector {Ph} is completely known Thus, the unknown displacement vector canbe solved by the existing u4 efficient algorithms and software, which are available in different computer platforms. 9] will be discussed in Chapter 3. 177). SO) since the element nodal displacement vector { r }is simply a sub-set of the (known) system nodal displacement vector {D}(shown in Eq.

179m) Duc T. 5), one has: equations * 3 elements = 6 equations element 12 unknowns, which can be identified as: . u:,u:,Q: and ~ : , . 7, the "fictitious" local displacements u2 and uq are indicated in the same figure. 148]) can be slightly modified to become the 4x4 local element stiffness matrix of a 2-D ethtruss element. Duc T. 8. 8 a Typical 2-D Beam Element without Axial dof 30 Finite Element Methods: Parallel-Sparse Statics and Eigen-Solutions In the Euler-Bernoulli beam theory, it is assumed that a plane cross-section remains perpendicular to the beam axis even after deformation.

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Abrams Main Battle Tank M1A1 and M1A2 by Glen Broman

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