By William R. Spillers
Read or Download Automated Structural Analysis. An Introduction PDF
Similar engineering & transportation books
A part of the Biomedical Engineering sequence, this ebook examines the administration of clinical know-how, together with medical engineering, moral matters and destiny instructions
Extra info for Automated Structural Analysis. An Introduction
5) by selecting the elements of F to be zero except F7 = 1. If some form other than Eq. 1) is used for the node method, it is simply necessary to use some form other than Eq. 3) for the energy. 3 THE DECOMPOSITION With numerical computation in mind, it is worthwhile to pursue the details of the system matrix, NKN, a little further. The most striking feature of the matrices N and K is that they are sparse; this sparseness discourages their direct formation in the computer. In this section a scheme is discussed which allows the formation of NKN from the elements of N and K without explicitly constructing the matrices them selves.
3. The reduction of the moment capacity of a beam due to the presence of axial load is neglected. 4. e. P = λΡ(), where P is the usual joint load matrix, P0 is a matrix which represents the fixed ratios of the loads, and λ > 0 is a scalar. 5. The members are uniform between nodes. For this problem (see P. Hodge, Plastic Analysis of Structures. McGrawHill, 1959), one possible formulation is through linear programming: Maximize λ Subject to: NF = XP0 |w/+l ^ μ, |m,~| ^ μ, (equilibrium) (the bending moment diagram must be safe) where μ, — capacity of member / In this formulation the collapse load is the largest for which it is possible to satisfy equilibrium and not exceed the capacity of any member.
This procedure is shown schematically in Fig. 2 for a plane frame with members loads. , can be handled in a similar fashion as indicated for the case of a truss subjected to tem perature change in Fig. 3. 51 Automated Structural Analysis Fig. 1. Member loads. i)
- Download Fotografie und Realität: Fallstudien zu einem ungeklärten by Julia Schmitt, Christian Tagsold, Hans-Diether Dörfler, PDF
- Download Real Photo Postcards: Unbelievable Images from the by Todd Alden PDF