Structural Mechanics |
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Page 49
... segment of the structure to the left of the sectioning surface ( Figure 4.1 ( b ) ) . This segment will not generally be in equilibrium unless a resultant force is transmitted across the section . This force , exerted by one segment on ...
... segment of the structure to the left of the sectioning surface ( Figure 4.1 ( b ) ) . This segment will not generally be in equilibrium unless a resultant force is transmitted across the section . This force , exerted by one segment on ...
Page 51
... segments . If the bending moment is positive , a clockwise moment acts on the end of the segment towards which the direction arrow points , and an anti - clockwise moment acts on the end of the other segment ( which the direction arrow ...
... segments . If the bending moment is positive , a clockwise moment acts on the end of the segment towards which the direction arrow points , and an anti - clockwise moment acts on the end of the other segment ( which the direction arrow ...
Page 54
... segment is in equilibrium S = w ( L - x ) T = 0 . ( 4.1.6 ) The segment load w ( L - x ) is uniformly distributed . When we consider the equilibrium of the segment , by taking moments about X , the moment of the segment load about X is ...
... segment is in equilibrium S = w ( L - x ) T = 0 . ( 4.1.6 ) The segment load w ( L - x ) is uniformly distributed . When we consider the equilibrium of the segment , by taking moments about X , the moment of the segment load about X is ...
Contents
DEFORMATIONS OF STRUCTURES | 62 |
VIRTUAL WORK | 82 |
RIGIDJOINTED STRUCTURES | 111 |
Copyright | |
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acting angle applied axial bar tensions bending moment buckling C₁ calculation cantilever carries centre clockwise collapse load collapse mechanism column compatible components compressive corresponding displacement critical load cross-section curvature deformation dimensions in metres direction displacement diagram distribution of bending elastic modulus element elongations equilibrium conditions equilibrium equations Example exerted external loads flexural rigidity forces and moments forces in kilonewtons full plastic geometric Hooke's law horizontal load horizontal reaction imaginary unit indeterminate induced joint kilonewtons FIG left-hand end left-hand support linear lower-bound method move multiplied notation obey P₁ pin-jointed framework plastic hinge polygon portal frame problem R₁ redundant rigidity F RL/AE segment shear force shown in Figure simple simply supported solid mechanics stanchion feet statically determinate structure support reactions take moments theorem unit load unknown vector sum vertical deflection vertical reaction virtual yield stress zero