Structural Analysis Book

Introductory Structural Analysis Problems

Nielsen

Introduction:

This book is intended as a study aid for students studying Introductory Structural Analysis. The Author has strived to present problems that would be found in a typical engineering class, in a hand drawn style that will be familiar to any student who has put pencil to engineering paper.

If any errors or omissions are discovered, please report them to NieKo Technical Publishing for correction in future editions.

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Problems: Determinate Structures:

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1) Equations of Equilibrium a) Beams b) Frames c) Trusses

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2) Shear and Moment Diagrams a) Beams b) Frames

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3) Virtual Work – Deflections a) Beams b) Frames c) Trusses

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4) Visual Integration –Deflections a) Beams b) Frames c) Trusses

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Indeterminate Structures – Support Reactions Page 1) Force Method with Virtual Work a) Beams b) Frames

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2) Force Method with Visual Integration a) Beams b) Frames

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3) Moment Distribution Method a) Beams b) Frames

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Notation: A - Area (sq. in.) L – Length (feet or inches) E – Modulus of Elasticity (K/in2) or (ksi) I – Moment of Inertia (in4) k – kips = 1000 lbs. mv – Virtual Moment (kft) M – Real Moment (kft) n – Virtual Axial Force (k) N – Real Axial Force (k) FEM – Fixed End Moment (kft) DF – Distribution Factors FBD – Free Body Diagram ƒ aa – Flexibility Coefficient Δ - Deflection (in)

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Equations of Equilibrium Statically Determinate Structures Beams Frames Trusses

Since the problems shown deal with 2 dimensional structures, the following equations of equilibrium are used throughout this book. Sum of the forces in the X direction are zero.

∑Fx = 0 Sum of the forces in the Y direction are zero.

∑Fy = 0 Sum of the moments about the Z axis are zero.

∑M = 0

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Shear And

Moment Diagrams

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Virtual Work Deflections

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Visual Integration Deflections

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Force Method With Virtual Work

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Force Method With Visual Integration

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Moment Distribution Method

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