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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 62 = 36 is more than double the value of 42 = 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 cross-section 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 bd2. - 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 bd2=(2)(32)=18 is larger than bd2=(3)(22)=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 mid-length. - 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(bd2)/(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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