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
... equation for the structure . The three equilibrium equations and the zero internal moment condition provide a total of four equations . These four equations can be solved for ... Equations of Condition Equations of Condition for Plane Frames.
... equation for the structure . The three equilibrium equations and the zero internal moment condition provide a total of four equations . These four equations can be solved for ... Equations of Condition Equations of Condition for Plane Frames.
Page 43
... equation ) ( b ) Moment condition ( hinge ) ( c ) Shear condition Unrestrained relative Unrestrained relative horizontal displacement rotation and horizontal displacement Σ Ε = 0 ( one equation ) ( d ) Axial force condition 50 ) 2F ΣΜ ...
... equation ) ( b ) Moment condition ( hinge ) ( c ) Shear condition Unrestrained relative Unrestrained relative horizontal displacement rotation and horizontal displacement Σ Ε = 0 ( one equation ) ( d ) Axial force condition 50 ) 2F ΣΜ ...
Page 45
... equation of condition since the moment is zero at the joint . This equation of condition is anal- ogous to the equation of condition associated with a hinge in a beam or frame member . In Fig . 2.3b the two parallel links in the ...
... equation of condition since the moment is zero at the joint . This equation of condition is anal- ogous to the equation of condition associated with a hinge in a beam or frame member . In Fig . 2.3b the two parallel links in the ...
Common terms and phrases
action analysis antisymmetric applied loads assumption axial loads calculation centroidal column complementary virtual Compute concentrated load conjugate beam constant cross section curvature diagram defined deformation system direct integration displacements and rotations distributed load Draw the final end moments equations of equilibrium equilibrium equations Example Figure final moment diagram forces and moments free body hinge horizontal indeterminate structure influence line integration joint kips kN/m left end linear linear elastic loading diagram magnitude mathematical model maximum member A-B member forces ment moment distribution moment of inertia Neglect axial deformations nonlinear materials nonprismatic numerical integration panel points positive reaction components shown in Fig sign convention simply supported beam slope spreadsheet statically determinate structures STEP strain energy stress stress-strain relation struc superposition tion truss U₁ uniform load unit load vertical deflection vertical displacement virtual force system virtual work principle zero ΕΙ