Article 5/6
Beams - External Effects
ENGR B36 - Statics
Pat Aderhold
10/27/2014
Schedule and Notes
• Individual Excel Project
 Due today
 Electronic submission
• Got email confirmation?
• Check with me after if not
 -or- Hard copy submission: now
• SolidWorks Design Project eliminated
• Group Design Project
 Details TBD
 Expect full write-up in next couple weeks
 More time intensive than Excel Project
Review & Preview
• Wednesday
 Theorems of Pappus
 Easy (?) way to find area/volume for objects with
rotational symmetry
• Today
 Distributed loading of beams
 A bit more in depth than concentrated loading
 A bit less in depth than Mechanics II (Strength of
Materials) analysis
Beams
• “Beams are undoubtedly the most important
of all structural members”*
• Start by looking at external reactions
• Next look at internal effects
 You’ll see a lot of this in Mechanics II
 Look at deflection
 Look at maximum loading
• Support conditions
 Remember determinate and indeterminate
 Remember reactions based on support type
*Meriam, JL and Kraige, LG. Statics 7th Ed. Wiley 2012. p. 272
Distributed Loading
• In theory, anything you can dream up
• In practice, usually uniform or linear increase
Distributed Loading
• Text identifies two categories
• Constant vs. Variable
• Continuous vs. Discontinuous
Meriam, JL and Kraige, LG. Statics 7th Ed. Wiley 2012. p. 273
Problem Solving
1. Need two pieces of information
 Area under curve
 Centroid of loading “shape”
2. Replace distributed load with concentrated
3. Solve as usual
Meriam, JL and Kraige, LG. Statics 7th Ed. Wiley 2012. p. 273
Distributed => Concentrated
Meriam, JL and Kraige, LG. Statics 7th Ed. Wiley 2012. p. 273
Practice Problem 5/101
Meriam, JL and Kraige, LG. Statics 7th Ed. Wiley 2012. p. 275
Practice Problem 5/112
Meriam, JL and Kraige, LG. Statics 7th Ed. Wiley 2012. p. 276
Practice Problem 5/116
Meriam, JL and Kraige, LG. Statics 7th Ed. Wiley 2012. p. 277
Exam #2 on Wednesday!
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No homework on 5/6 yet
Cover Chapter 4 (all) & Chapter 5 (Arts. 1-5)
Expect 3 problems
As stated before
 Space trusses too lengthy for full problem
 Centroid by integration poor use of exam time
 Expect Method of Joints or Sections problem
Review Questions?
• I’ll work through problems or concepts now
• Can be reached by email most times
• Office hours (room MS-11)
 Monday 3-5pm
 Tuesday 8-11am
 By appointment