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 94
... kips 100 kips 3 3 1 2 • 120 kips 120 kips 3 320 340 kips kips 3 3 STEP 1 Compute the reactions . ( Note : The reactions can be obtained by pro- portion using the number of panels . ) R13 = ΣΜ : -100 · 40 LO 40 3.40 • - . 120 · 2 · 40 + ...
... kips 100 kips 3 3 1 2 • 120 kips 120 kips 3 320 340 kips kips 3 3 STEP 1 Compute the reactions . ( Note : The reactions can be obtained by pro- portion using the number of panels . ) R13 = ΣΜ : -100 · 40 LO 40 3.40 • - . 120 · 2 · 40 + ...
Page 95
... kips ( 7 ) 20k F , 1 300k 9 = - 20 kips 3 F1 = 0 3 3 ΣΕ 1 -300 320 + + Fg = 0 3 3 F10 F 11 = = 3F : -20 413 513 F = 8 3 kips ( 8 ) ( 9 ) 80 = kips ( 10 ) 9 100 F kips ( 11 ) 8 9 ΣΕ - 1280 80 12 F + = 0 9 9 -1360 F kips ( 12 ) 12 9 ...
... kips ( 7 ) 20k F , 1 300k 9 = - 20 kips 3 F1 = 0 3 3 ΣΕ 1 -300 320 + + Fg = 0 3 3 F10 F 11 = = 3F : -20 413 513 F = 8 3 kips ( 8 ) ( 9 ) 80 = kips ( 10 ) 9 100 F kips ( 11 ) 8 9 ΣΕ - 1280 80 12 F + = 0 9 9 -1360 F kips ( 12 ) 12 9 ...
Page 718
... Kips Moment 1-2 195 145 131 95 Kip - ft . Shear 2-3 Moment 2-3 95 -25 -25 , 10 10,0 Kips -30 0 Kip - ft . 4.18 Χ 0 10 20 30 feet Shear 3.33 -6.67 -20.7 , 16.7 16.7 , -3.33 Kips Moment 0 0 - 166.7 0 Kip - ft . Χ 40 45 50 feet Shear -3.33 ...
... Kips Moment 1-2 195 145 131 95 Kip - ft . Shear 2-3 Moment 2-3 95 -25 -25 , 10 10,0 Kips -30 0 Kip - ft . 4.18 Χ 0 10 20 30 feet Shear 3.33 -6.67 -20.7 , 16.7 16.7 , -3.33 Kips Moment 0 0 - 166.7 0 Kip - ft . Χ 40 45 50 feet Shear -3.33 ...
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