## 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 510

All moment distribution calculations

occur. • A special staged solution process is required if joint displacements can

occur. • The axial deformations of members of frames are

All moment distribution calculations

**assume**that no joint displacements canoccur. • A special staged solution process is required if joint displacements can

occur. • The axial deformations of members of frames are

**assumed**to be zero.Page 615

In Section 15.3 this involved

member and using Castigliano's first theorem to establish the equilibrium

equations for solution. For laterally loaded frames with prismatic members and

using the boxed ...

In Section 15.3 this involved

**assuming**a displacement function along themember and using Castigliano's first theorem to establish the equilibrium

equations for solution. For laterally loaded frames with prismatic members and

using the boxed ...

Page 618

Example 15.4 2.08/ 2.08/ Obtain an approximate solution to the laterally loaded

single-story frame of Example 12.6.

frame are the same and equal to 6. Use the minimum total potential energy

principle.

Example 15.4 2.08/ 2.08/ Obtain an approximate solution to the laterally loaded

single-story frame of Example 12.6.

**Assume**that all rotations at the top of theframe are the same and equal to 6. Use the minimum total potential energy

principle.

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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