# Building Systems

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 Author: janelle596 ID: 105071 Filename: Building Systems Updated: 2011-09-28 22:10:38 Tags: Statics Folders: Description: Building Systems Show Answers:

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1. What is STATICS
"mechanics dealing with the relationship of forces that produce equilibrium among material bodies"
2. State of Equilibrium
• There are no unbalanced forces acting on the structure
• The sum of all external and internal forces must equal zero
• If the sum does not equal zero then movement exists
3. State of Equilibrium
4. Vectors in Statics
• Forces expressed as vectors
• Vector has two components, magnitude (6k, 15lbs, etc) and direction (vertical, horizontal, 60 degrees)
5. Simply Supported Beam, single span beam supported at each end, shear connection
6. Free Body Diagram
• Beam, loads and reactions drawn as isolated "free body"
• Shown with a uniformly distributed load
• Other load types include; varying, concentrated and movement
• Supports replaced with reactions (R)
7. Shear Diagram
• Shear stresses in the Y direction, vertical shear (V) are graphically represented
• Shear stress is greatest at the supports
• Shear stress is zero at mid-span
8. Moment Diagram
• Moments - bending stresses - graphically represented
• Moment stress is zero at the reactions
• Moment is greatest at mid span
9. Moment Diagram
• Interestingly, the shape of this diagram is the same as that of the form-active shape for a distributed load. This indicates that the intensity of the bending-type internal force (bending moment) at any cross-section is directly proportional to the distance of the cross-section from the equivalent point on the form-active shape.

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