## 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 192

6.2 a

shown along with the strains that take place in the x-y plane. The unde- formed

...

6.2 a

**segment**of beam that is deformed through the action of a pure moment isshown along with the strains that take place in the x-y plane. The unde- formed

**segment**of length As (= Ax) is shown in Fig. 6.2b with the line**segment**AB at the...

Page 193

AB = AiB\ = Ax h = y, - v* (b) Member

c) Member

the x-y plane of beam

AB = AiB\ = Ax h = y, - v* (b) Member

**segment**in x-y plane before deformation 0 (c) Member

**segment**in x-y plane after deformation Figure 6.2a-c Deformation inthe x-y plane of beam

**segment**due to pure bending. of the member can be ...Page 209

Rectangle Area bh b/2 bl2 Triangle Parabolic

shapes. Example 6.3 Use the curvature-area theorems to obtain the rotation,.

Rectangle Area bh b/2 bl2 Triangle Parabolic

**segment**Parabolic**segment**Cubic**segment**Cubic**segment**3W5 2W5 Figure 6.6 Properties of common geometricshapes. Example 6.3 Use the curvature-area theorems to obtain the rotation,.

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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