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Statics

Statics. Chapter 3 Equilibrium of Coplanar Force Systems. Equilibrium Equations. Body is equilibrium when resultant of all external forces are zero All forces All moments Sums of all corresponding rectangular components must be 0 External forces about an arbitrary point must be 0.

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Statics

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  1. Statics Chapter 3 Equilibrium of Coplanar Force Systems

  2. Equilibrium Equations • Body is equilibrium when resultant of all external forces are zero • All forces • All moments • Sums of all corresponding rectangular components must be 0 • External forces about an arbitrary point must be 0

  3. Free Body Diagram • Is a sketch of a body isolated from its supports or other connected bodies with all external forces indicated • Should included clearly the magnitude direction and location of all external forces, including weight, applied forces, reactions and dimensions and angles • Weight – represents the gravitational attraction of the earth – acting downward through center of gravity • Applied forces – loads that are applied to the free body • Reactions – represents the constraining forces exerted or the free body by the supports or by the connected bodies • Dimensions and angles – must included all dimension and angles and location of all forces • Internal forces must not be included.

  4. Types of Supports • Roller supports with one unknown reaction element • Examples – page 105 • Hinge support with two unknown reaction elements • Examples page 105 • Fixed Support with three unknown reaction elements • Examples page 106 • Pulley • Examples page 106 • Linear Spring • F=kx • Example 107 • Example 3-1, 3-2, 3-3

  5. Equilibrium of a concurrent coplanar force system • Body subjected to concurrent coplanar forces is in equilibrium if the resultant of the forces acting on the body is zero. • Moment of the forces about the common point is always zero • Equilibrium conditions would be Sum Fx=0 and sum Fy =0 • Example 3-4 page 111 • Example 3-5 page 112 • Example 3-6 page 113 • Example 3-7 page 114

  6. Equilibrium of a non concurrent coplanar force system • Sum of Fx =0 • Sum of Fy =0 • Sum of M=0 • If a problem contains to moments • Sum of Fx =0 • Sum of Ma =0 • Sum of Mb =0 • X axis is arbitrarily and line segment AB must not be perpendicular to the x axis • Example 3-8 • Example 3-9 • Example 3-10 • Example 3-11 • Example 3-12

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