Chapter 7 - Equilibrium of Beams

Objectives

Course objective:  To recall how to calculate the shear-force and bending-moment diagrams for beams.

Learning objectives:

  • Apply Newton's Laws to solve for a simply-supported (1.25) or cantilever (1.16) beam's ground reactions.
  • Draw shear-force diagram for beam.
  • Identify maximum shear force (1.21) and its location in beam.
  • Determine shear force at a particular location in beam (1.05).
  • Draw bending-moment diagram for beam.
  • Identify maximum bending moment (1.09) and its location (0.99) in beam.
  • Determine bending moment at a particular location in beam (0.83).

The values in orange represent quiz performance.  One represents average.  Values greater than one represent easier topics.  Values less than one represent harder topics.

Concepts  (13 minutes)

1. see M7.1 to M7.3 video
2. beam loading from Active Statics 
3. internal forces and moments notes
4. area method notes
5. integration method notes
6. tips for plotting diagrams notes
7. HAMLET beam analysis notes

Quiz Prep

1. The questions will be multiple-choice and will ask for ground reactions, maximum (absolute value) V, V at a particular location, maximum (absolute value) M, and/or M at a particular location.
2. The third quiz usually has about 70% of the points from chapter 6 and about 30% of the points from chapter 7.

Problems  (50 minutes)

assigned 3e 2e 1e aids WP format

derive
formulas

-- 07.001 07.001 07.001 -- -- --
-- 07.002 07.002 07.002 -- solution --
-- 07.003 07.003 07.003 -- -- --
-- 07.004 07.004 07.004 -- solution --
-- 07.005 07.005 07.005 -- -- --
-- 07.006 07.006 07.006 -- solution --
-- 07.007 07.007 07.007 -- -- TENU
-- 07.008 07.008 07.008 -- solution TENU
-- 07.009 07.009 07.009 -- -- TENU
-- 07.010 07.010 07.010 -- solution --
-- 07.011 07.011 07.011 -- -- TENU
-- 07.012 07.012 07.012 -- solution TENU
-- 07.013 07.013 07.013 -- -- --
-- 07.014 07.014 07.014 -- solution --
-- 07.015 07.015 07.015 -- -- TENU
graphical
method
-- 07.016 07.016* 07.016 -- -- --
-- 07.017 07.017* 07.017 -- -- GO
-- 07.018 07.018* 07.018 -- -- --
yes 07.019 07.019 07.019 video solution GO
yes 07.020 07.020+ 07.020 -- -- GO
-- 07.021 07.021+ 07.021 -- -- --
-- 07.022 07.022 07.022 -- -- --
-- 07.023 07.023 07.023 -- -- --
yes 07.024 07.024 07.024 strategy solution GO
-- 07.025 07.025* 07.025 -- -- GO
yes 07.026 07.026 07.026 -- -- GO
yes 07.027 07.027 07.027 strategy solution GO
-- 07.028 07.028* 07.028 -- -- GO
-- 07.029 07.029* 07.029 -- -- --
-- 07.030 07.030 07.030 strategy solution --
-- 07.031 07.031 07.031 video solution --
-- 07.032 07.032 07.032 strategy solution --
-- 07.033 07.033* 07.033 -- -- --
-- 07.034 07.034* 07.034 strategy solution --
-- 07.035 07.035* 07.035 -- -- --
-- 07.036 07.036* 07.036 strategy solution --
-- 07.037 07.037* 07.037 video solution --
-- 07.038 07.038* 07.038 -- solution --
-- 07.039 07.039 07.039 -- solution --
-- 07.040 07.040 07.040 -- -- GO
-- 07.041 07.041 07.041 -- -- --
yes 07.042 07.042 07.042 -- -- GO
-- 07.043 07.043 07.043 -- -- --
-- 07.044 07.044 07.044 -- -- --
yes 07.045 07.045 07.045 video solution GO
-- 07.046 07.046 07.046 strategy solution GO
-- 07.047 07.047 07.047 -- -- GO
-- 07.048 07.048 07.048 -- -- --
-- 07.049 07.049 07.049 -- -- GO
-- 07.050 07.050 07.050 -- -- --
    --   07.051   07.051   -- --   -- --  
    --   07.052   07.052   -- --   -- GO  
    --   07.053   07.053   -- --   -- --  
    --   07.054   07.054   -- --   -- --  
    --   07.055   07.055   -- --   -- --  
  discontinuity
functions
  --   07.056   07.056   --   --   --   GO  
    --   07.057   07.057   --   --   --   --  
    --   07.058   07.058   --   --   --   GO  
    --   07.059   07.059   --   --   --   GO  
    --   07.060   07.060   --   --   --   --  
    --   07.061   07.061   --   --   --   GO  
    --   07.062   07.062   --   --   --   --  
    --   07.063   07.063   --   --   --   GO  
    --   07.064   07.064   --   --   --   --  
    --   07.065   07.065   --   --   --   GO  
    --   07.066   07.066   --   --   --   --  
    --   07.067   07.067   --   --   --   --  
    --   07.068   07.068   --   --   --   --  
    --   07.069   07.069   --   --   --   --  
    --   07.070   07.070   --   --   --   GO  
    --   07.071   07.071   --   --   --   GO  
    --   07.072   07.072   --   --   --   GO  

* numbers changed between first and second editions
+ image changed between first and second editions

props