Republic F-84 (Swept-Wing Variants) - Aerofax Minigraph 15 by Kevin Keaveney

By Kevin Keaveney

Aerofax Minigraph #15

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3. 1. Applying Displacement BCs by Reduction . . . . 2. Solving for Displacements . . . . . . 4. 1. Recovery of Reaction Forces . . . . . . 2. Recovery of Internal Forces and Stresses . . . . 5. 1. Assembly by Freedom Pointers . . . . . . 2. Applying Displacement BCs by Modification . . . 3–11 3–11 3–11 . . . . . . . . . . . 1. INTRODUCTION Chapter 2 explained the breakdown of a truss structure into components called members or elements. Upon deriving the stiffness relations at the element level in terms of the local coordinate system, we are now ready to go back up to the original structure.

Force equilibrium: The sum of forces exerted by all members that meet at a joint balances the external force applied to that joint. The first rule is physically obvious: reconnected joints must move as one entity. The second one can be visualized by considering a joint as a free body, but care is required in the interpretation of joint forces and their signs. 2 for joint 3 of the example truss, at which members (2) and (3) meet. Application of the foregoing rules at this particular joint gives Rule 1: (3) u (2) x3 = u x3 , (3) u (2) y3 = u y3 .

1. Assembly by Freedom Pointers . . . . . . 2. Applying Displacement BCs by Modification . . . 3–11 3–11 3–11 . . . . . . . . . . . 1. INTRODUCTION Chapter 2 explained the breakdown of a truss structure into components called members or elements. Upon deriving the stiffness relations at the element level in terms of the local coordinate system, we are now ready to go back up to the original structure. This process is called assembly. Assembly involves two substeps: globalization, through which the member stiffness equations are transformed back to the global coordinate system, and merging of those equations into the global stiffness equations.

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