## 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 41

Consequently, a condition that the moment at this point be

the hinge. The structure of Fig 2.1c has four unknown reaction components, but

there are three equations of equilibrium and one known condition of

...

Consequently, a condition that the moment at this point be

**zero**is introduced atthe hinge. The structure of Fig 2.1c has four unknown reaction components, but

there are three equations of equilibrium and one known condition of

**zero**internal...

Page 103

These extra members seem to complicate the analysis, but a few observations

from Fig. 3.11 will simplify the situation. At joint 7, using the concept presented in

Fig. 3. 1 la. it can be concluded that the force in member 6-7 must be

...

These extra members seem to complicate the analysis, but a few observations

from Fig. 3.11 will simplify the situation. At joint 7, using the concept presented in

Fig. 3. 1 la. it can be concluded that the force in member 6-7 must be

**zero**. At joint...

Page 446

1 1 .3 Application of the Slope-Deflection Equations to the Solution of Structures

with No Joint Translation With no joint translations taking place, the vA and vB

terms in the slope-deflection equations are

of ...

1 1 .3 Application of the Slope-Deflection Equations to the Solution of Structures

with No Joint Translation With no joint translations taking place, the vA and vB

terms in the slope-deflection equations are

**zero**and rotations at points of supportof ...

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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