Strain Energy Methods of Stress Analysis |
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... obtained solely by the arrangement of the bars , and since the joints are incapable of transmitting a bending moment , all the members of the frame are in a state either of pure tension or pure compression when the load system is ...
... obtained solely by the arrangement of the bars , and since the joints are incapable of transmitting a bending moment , all the members of the frame are in a state either of pure tension or pure compression when the load system is ...
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... obtain the relationship n = 3j - 6 . ( 2 ) as the criterion for the minimum number of bars required in a space frame . This relation , like that for a plane frame , must be used with attention to arrangement and suitability of the ...
... obtain the relationship n = 3j - 6 . ( 2 ) as the criterion for the minimum number of bars required in a space frame . This relation , like that for a plane frame , must be used with attention to arrangement and suitability of the ...
Page 1
... obtained , is to be supported so that it can transmit any load system to supporting points , the reactions at these points must provide such forces that they and the applied loads are in a state of static equilibrium . The conditions of ...
... obtained , is to be supported so that it can transmit any load system to supporting points , the reactions at these points must provide such forces that they and the applied loads are in a state of static equilibrium . The conditions of ...
Page 3
... obtained that 3J members are needed to brace J points to any number of pinned supports . Fig . 1 illustrates the case of a plane frame . At ( a ) we have seven joints which are to be connected to the two points A and B on the wall ...
... obtained that 3J members are needed to brace J points to any number of pinned supports . Fig . 1 illustrates the case of a plane frame . At ( a ) we have seven joints which are to be connected to the two points A and B on the wall ...
Page 4
... obtaining the stress distribution . Pseudo - Redundant Frames . - In some cases it may appear that a frame is redundant when in reality it is just - stiff . As an example consider the plane frame shown in Fig . 3 . This frame has eight ...
... obtaining the stress distribution . Pseudo - Redundant Frames . - In some cases it may appear that a frame is redundant when in reality it is just - stiff . As an example consider the plane frame shown in Fig . 3 . This frame has eight ...
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Common terms and phrases
A. J. S. Pippard Aeronautical Research Committee angle applied axis beam bending moment bow girder braced bulkhead calculated coefficients component compression considered cos2 cosec cross-sectional area curved member deflection determined direction of W₁ due to bending equations equilibrium evaluated example external load system ƏR₁ ƏR₂ flexural rigidity force H fuselage given Hence Hooke's law hoop stress horizontal integrals just-stiff frame length longeron M₂ method modulus of elasticity moment of inertia movement number of bars obtained pinned plane frame polygon Q₁ R₁ R₂ radius reactions redundant members resultant actions shear stress shown in Fig Simpson's rule space frame static stiff joints strain energy due stress analysis stress diagram structure struts supports Suppose symmetry T₂ Table tangential component tension torque total strain energy truss vertical W₂ wires zero амо ано әм ән
Popular passages
Page 12 - According to this principle, the strains that are produced in a body by the application, to a small part of its surface, of a system of forces statically equivalent to zero force and zero couple, are of negligible magnitude at distances which are large compared with the linear dimensions of the part.
Page 76 - On a Method for the Direct Design of Framed Structures having Redundant Bracing," AJS Pippard, Reports and Memoranda, No.
Page 31 - This equation is generally referred to as the principle of least work, since it is the condition that the force, Pab, in the bar be such as to make the strain energy of the system a minimum.
Page 1 - S are in equilibrium, each will be equal and opposite to the sum of the components of the...
Page 24 - W1, is the same as the deflection at A in the direction of Wj when a unit load acts at B in the direction of Wa.
Page 17 - P within the limits of proportionality, where L is the length of the specimen and A is its cross-sectional area.