Influence Lines for Plane and Three-dimensional Continuous Structures |
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Page 54
... influence line is obtained by connecting the ordinates by means of smooth and continuous curves . The signs of the influence areas are obtained according to §1.3 5th . - The operations of §4.1 b ) and c ) should only be performed for ...
... influence line is obtained by connecting the ordinates by means of smooth and continuous curves . The signs of the influence areas are obtained according to §1.3 5th . - The operations of §4.1 b ) and c ) should only be performed for ...
Page 59
... influence line for the bending moment at the cross section S has been plotted in Fig . 4le . The signs of the influence areas were determined from the fact that the loading is vertical and downward . 6 ) Let us suppose that the loading ...
... influence line for the bending moment at the cross section S has been plotted in Fig . 4le . The signs of the influence areas were determined from the fact that the loading is vertical and downward . 6 ) Let us suppose that the loading ...
Page 79
... influence line shown in Fig . 50b : Ms = M.q Ф This product will be positive for M and rotating in the same direction . In view of the difficulties in measuring the angles of the tan- gents to an influence ... areas will be those that ...
... influence line shown in Fig . 50b : Ms = M.q Ф This product will be positive for M and rotating in the same direction . In view of the difficulties in measuring the angles of the tan- gents to an influence ... areas will be those that ...
Contents
General Remarks | 1 |
Drawing and Use of Influence Lines of Continuous Frames | 38 |
Summary of Operations | 54 |
Copyright | |
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according to expression angular displacement apply Beam fixed bending moment bending moments bending stiffness index calculate the ordinates Calculation of ordinates carry-over or transmission causes a unit coeff continuous beam continuous structure corresponding carry-over factors cross section cycle derived influence line draw the influence Eclc end hinged end rotations expressions 53 fixed-end constraint fixed-end moments force K force Q hinged end index and induced induced moments inertia varying according influence areas K₁ Kmax Let us suppose line for bending M₁ M₂ method of displacement moment of inertia moments and shearing moving load multiplied obtain influence lines obtained from expressions Operation order to obtain plane XZ plotted Portland Cement primary displacements primary rotation primary translation rotation of joint shearing forces shown in Fig statically determinate stresses superposition Table translational stiffness index transmission factors unit displacement vertical deflection ΚΑ ΜΑ ΣΚΑ Мв Фов