
Bending Strength of a Beam Word Problems Fun Math Game Tips:  A '2 by 6' stick of lumber can be more than twice as strong as a '2 by 4' of the same material length, when the 'depth = 6' is kept vertical and the stick length is horizontal with support at each end.  Experiments show that the vertical strength of a horizontal beam varies as the square of its depth. Since the value of 6^{2} = 36 is more than double the value of 4^{2} = 16, then a '2 by 6' stick of lumber is more than twice as strong as a '2 by 4'.  Experiments on timber beams with a rectangular crosssection of 'breadth = b' and 'depth = d' also show that a beam's loading strength varies directly as its breadth. Generally speaking, a beam's bending strength S depends on the formula bd^{2}.  A beam with b=2 cm and d=3 cm is stronger than a beam with b=3 cm and d=2 cm when they have the same material length, since bd^{2}=(2)(3^{2})=18 is larger than bd^{2}=(3)(2^{2})=12.  This game assumes all the rectangular beams have the same horizontal length and are supported beneath their ends with the bending load strength measured midlength.  Other experiments for Load = S include the beam length = L and a material constant = K to yield a more detailed formula for bending strength S = K(bd^{2})/(L).  Engineers use Strength formulas to establish the safe size of beams for community Building Codes. This ensures safe floor joists, door and window headers, roof trusses and bridge components.  Refresh/Reload the web page to start over again.  If the game doesn't respond to keyboard input, click inside the game area to reset the game's focus.  The score report automatically appears after you have made 10 choices.  The Formula score is based on your choices only and does not count the kangaroo hits.  The Game score is reduced by the number of kangaroo hits.  The game speeds up as your score increases. Adjust this with the  and + keys.  
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