Chapter 2 - Analysis of Statically Determinate Structures

Objectives

  • Identify common support connections.
  • Identify/draw idealized structures.
  • Calculate tributary loadings.
    • Judge between one-way or two-way system.
    • Determine beam/joist's distributed load from appropriate tributary area.
    • Determine girder loads.
    • Determine column loads.
  • Judge whether a structure is stable/unstable.
  • Judge whether a structure is statically determinate/indeterminate.
    • If indeterminate, specify degree of indeterminacy.
  • Calculate a structure's support reactions.
    • Identify any two-force members.
    • Draw free-body diagram(s).
    • Derive summation-of-forces and summation-of-moments equations.
    • Apply algebra to solve for requested values.

Concepts

1. idealized structure
    - support connections
    - idealized structure
    - tributary loadings ^
2. principle of superposition
3. equations of equilibrium
4. determinacy and stability ^
5. application of the equations of equilibrium

Terms

one/two-way slab
joist, girder, purlin, bent, frame, deck
statically determinate/indeterminate
stable/unstable
degree of indeterminacy

Problems

* examples to be discussed in class

7e
Example
7e
Homework
Autodesk
Robot
tributary
loadings
  1-way   02.001 -- solution --
  1-way   02.002 solution*2 -- --
  2-way   02.003 solution*3 -- --
  1-way   02.004 solution*1 -- --
  1-way   02.005 -- solution --
  2-way   02.006 solution -- --
  2-way   02.007 -- solution --
  stability &
determinacy
  beam   02.008 solution -- --
  beam   02.009 solution -- --
  beam   02.010 -- solution --
  beam   02.011 solution -- --
  beam   02.012 -- solution --
  beam   02.013 -- solution --
  frame   02.014 solution*2 -- --
  frame   02.015 solution*3 -- --
  beam   02.016 solution*1 -- --
reaction
loadings
  1-fbd   02.017 solution* -- solution
  1-fbd   02.018 -- solution --
  1-fbd   02.019 solution* -- solution
    1-fbd   02.020   --   solution   solution  
    1-fbd   02.021   solution*   --   --  
    1-fbd   02.022   solution*   --   solution  
    2-fbd   02.023   solution*   --   --  
    1-fbd   02.024   solution*   --   --  
    1-fbd   02.025   solution   --   solution  
    1-fbd   02.026   --   solution   solution  
    1-fbd   02.027   --   solution   solution  
    1-fbd   02.028   solution   --   --  
    1-fbd   02.029   --   solution   --  
    1-fbd   02.030   solution   --   solution  
    1-fbd   02.031   solution   --   solution  
    1-fbd   02.032   solution   --   --  
    1-fbd   02.033   solution   --   solution  
    2-fbd   02.034   solution*   --   --  
    3-fbd   02.035   solution*   --   --  
    3-fbd   02.036   solution*   --   solution  
    3-fbd   02.037   solution*   --   solution  
    2-fbd   02.038   --   --   --  
    1-fbd   02.039   --   --   --  
    1-fbd   02.040   --   --   --  
    2-fbd   02.041   --   solution   solution  
    3-fbd   02.042   --   --   --  
    2-fbd   02.043   --   solution   solution  
    1-fbd   02.044   --   --   --  
    2-fbd   02.045   --   --   --  
    3-fbd   02.046   --   --   solution  
    2-fbd   02.047   solution*   --   --  
    2-fbd   02.048   --   --   solution  
    2-fbd   02.049   --   --   solution  
    5-fbd   02.050   --   --   solution