Distribution

100
100
100
100
100
100          
 99          
 99          
 99          
 98          
 98          
 98          
 97  94        
 97  94        
 97  94        
 97  94        
 96  94  89      
 96  94  89      
 96  93  88          75
 96  93  88          74
 96  93  88  84  78  74
 96  92  88  84  78  73            
 96  92  87  84  77  72  69          
 96  92  86  83  77  71  69  63      
 95  90  86  82  77  71  68  62          38
 95  90  85  82  76  70  66  62  56  44  31
 95  90  85  80  76  70  65  62  52  40  30

Mean: 82.4, Median 88

Problem 1

Problem 2

Problem 3

Problem 4

This answer does a good job of making clear its logic and reasoning.

Problem 5

Problem 6

The solution below clearly explains the behavior in terms of the load on the beam and the deflections of the beam. Many people talked about the stress and strain in the material, rather than the loads and deflection of the beam, such an answer is not completely correct, since behavior at the scale of material may be different than behavior at the scale of the element (the next question addresses this issue as well).

Note that the calculations in the following solution are used to verify the soltion rather than to find it. The solution is found by reasoning about force balance and moment balance, clearly explained in the verbal answer.