## 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 282

7.14 Find the location and compute the magnitude of the maximum downward

displacement of the beam shown (EI

Find the vertical deflection and rotation change of slope of the left end, a (EI

7.14 Find the location and compute the magnitude of the maximum downward

displacement of the beam shown (EI

**constant**). 150 kN 4 m 6 m 60 kN -A 7.15Find the vertical deflection and rotation change of slope of the left end, a (EI

**constant**).Page 513

Neglect axial deformations (E

Obtain the final moment diagram for the structure shown. Use the moment

distribution method (£

structure ...

Neglect axial deformations (E

**constant**). formations (£**constant**). 3.6 m 12.7Obtain the final moment diagram for the structure shown. Use the moment

distribution method (£

**constant**). 777777 ~ " ' ' h20'- -30'- -30' 4 20'- 12.8 For thestructure ...

Page 607

Member under

the member is

displacements divided by L. This yields the linear displacement indicated in the ...

Member under

**constant**axial load and**constant**strain FromEqs. ... The strain inthe member is

**constant**and therefore it may be taken as the difference in enddisplacements divided by L. This yields the linear displacement indicated in the ...

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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