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Unformatted text preview: Statics problem solving strategies, hints and tricks Contents 1 Solving a problem in 7 steps 3 1.1 To read . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 To draw . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 To assign names . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.4 To plan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.5 To formulate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.6 To calculate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.7 To evaluate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2 How to handle 3D problems 4 2.1 Dissect forces (and of course naming them) . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 But what about torques? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Equilibrium equations in 3D . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3 Truss structures and frames 6 3.1 Cutting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.2 Important things to remember . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.3 Looking at hinges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.4 0-force members . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.5 Planning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4 Using signs: always a difficult thing 7 4.1 Which direction is positive, and which is negative? . . . . . . . . . . . . . . . . . . . . . . 7 4.2 Whats the use of it? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4.3 But what about torques? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.4 Two-force members . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.5 The conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 5 Distributed Loads 9 5.1 Constant distributed loads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5.2 Lineair distributed loads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5.3 Combined lineair and constant loads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 5.4 Other distributed loads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 6 Sections 10 1 6.1 The convention . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 6.2 Normal forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 6.3 Shear forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Shear forces ....
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