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Daily Essential Question

Daily Essential Question. Can stress be represented mathematically?. Stress. Importance, significance, or emphasis placed on something. Is this bridge stressed?.

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Daily Essential Question

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  1. Daily Essential Question Can stress be represented mathematically?

  2. Stress Importance, significance, or emphasis placed on something.

  3. Is this bridge stressed?

  4. Imagine you are standing on a log hanging over a small creek. Your weight is forcing the log to sink deeper into the mud. No matter what area you are standing on, the log sinking is evenly distributed. Is this log stressed?

  5. Your WEIGHT is FORCING upon the AREA and is EVENLY DISTRIBUTED. Imagine you are standing on a log hanging over a small creek. Your WEIGHT is FORCING the log to sink deeper into the mud. No matter what AREA you are standing on, the log sinking is EVENLY DISTRIBUTED. Is this log STRESSED?

  6. Scientific Definition Stress can be found from the force divided by the total surface area of an object. S = F /TSA S Stress (lbs of forces per unit area) F Applied Force (lbs of force) TSATotal Surface Area (ft2)

  7. EXAMPLE The force exerted from a desk is 500 lbs. Underneath the desk is a large cardboard box. The box is 4 ft x 5 ft x 3 ft is measurement. The box can only hold up to 4 lbs per square foot. Can this box hold this very heavy desk?

  8. ANSWER F = 500 lbs TSAbox= 2(5)(4) + 2(4)(3) + 2(5)(3) = 94 S = 500/94 = 5.319 lb/ft2 YES it can!

  9. Beam Factory You work in a factory which produces and manufactures beams to be used throughout nation on bridges. Different forces are presented to you, and your job is to check to see if your beam will be able to withstand the weight. Each beam in you factory is able to withstand up to 50 lb/ft2 at one time. 1 inch = 1 foot

  10. Number 1 A beam is put on top of two cinderblocks in the workshop, and you are told you must walk across the beam to make sure that it is able to be used for a walking bridge. Let’s say you are a grown man (150 lbs). What do you think?

  11. Number 2 The same beam is given again during the workshop. This time, however, you and three of your other 150 lb coworkers are told to walk across the beam at the same time, to really test the stress. Do you think this beam will be able to withstand that much weight?

  12. Essential Question Can stress be represented mathematically?

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