## Analysis and Behavior of StructuresOffering students a presentation of classical structural analysis, this text emphasizes the limitations required in creating mathematical models for analysis, including these used in computer programs. Students are encouraged to use hand methods of analysis to develop a feel for the behaviour of structures. |

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Page 61

rTMK'" H xo (a)

q(x) dx = -Q Q = area under

load a \6 'i - .vo' qix) TMo b x Centroid of

rTMK'" H xo (a)

**Loading diagram**for general distributed load q(x)dx Q q(x)dx Q dxq(x) dx = -Q Q = area under

**loading diagram**(b) Sum of forces with distributedload a \6 'i - .vo' qix) TMo b x Centroid of

**loading diagram**,h ,b ,b q(x]xdx-xo ...Page 148

4.9 Loading and Internal Axial Force Diagrams The

member in Fig. 4.6a is shown in Fig. 4.6c where positive loads and load

intensities are plotted above the horizontal axis. Concentrated loads are

indicated by a ...

4.9 Loading and Internal Axial Force Diagrams The

**loading diagram**for themember in Fig. 4.6a is shown in Fig. 4.6c where positive loads and load

intensities are plotted above the horizontal axis. Concentrated loads are

indicated by a ...

Page 149

The change in internal axial force between two points of an axi- ally loaded

member is equal to the negative of the area under the

the two points, provided that there are no applied concentrated axial loads

between ...

The change in internal axial force between two points of an axi- ally loaded

member is equal to the negative of the area under the

**loading diagram**betweenthe two points, provided that there are no applied concentrated axial loads

between ...

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### Common terms and phrases

action analysis applied loads assumptions axial loads axis of symmetry behavior calculation centroidal chord column complementary virtual concentrated load conjugate beam constant cross section curvature diagram defined deformation system direct integration distributed load end moments equation of condition equations of equilibrium equilibrium equations Example Figure final moment diagram force in member forces and moments free body geometrically stable horizontal indeterminate influence line integration joint kips left end linear linear elastic loading diagram loads acting magnitude mathematical model maximum member forces ment method nonlinear materials numerical integration panel points portal frame positive reaction components rigid bodies rotation shown in Fig sign convention simply supported beam slope slope-deflection spreadsheet static determinacy statically determinate structures Step strains stress stress-strain relation struc structure of Fig summing moments superposition symmetric structure tion uniform load unit load unknown vertical deflection vertical displacement virtual force system virtual work principle zero