## 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 211

Example 6.3 (continued) Step 1 Obtain the

and moment diagrams. STEP 2 Divide the

simple geometric figures. Compute areas and locate centroids of the figures.

Example 6.3 (continued) Step 1 Obtain the

**curvature diagram**from the loadingand moment diagrams. STEP 2 Divide the

**curvature diagram**into a composite ofsimple geometric figures. Compute areas and locate centroids of the figures.

Page 213

simply the total area of the

curve at the left support is horizontal. Note how simple the computation becomes

if the

...

simply the total area of the

**curvature diagram**since the tangent to the elasticcurve at the left support is horizontal. Note how simple the computation becomes

if the

**curvature diagram**is divided into areas that are rectangles and triangles as...

Page 439

For the MAB term, the product of the moment diagram for 8Af, of Fig. 1 1.5 and the

positive since the two diagrams are both negative. For the MBA term, the product

of ...

For the MAB term, the product of the moment diagram for 8Af, of Fig. 1 1.5 and the

**curvature diagram**of Fig. 1 1.4 is located at position 1-1 in Table 7.1, and ispositive since the two diagrams are both negative. For the MBA term, the product

of ...

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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