2. (45 pts) A millionaire is building apalatial (big, big,big) bouse in Alaska a

Question

2. (45 pts) A millionaire is building apalatial (big, big,big) bouse in Alaska and has a 20 ft long 8"x8" cross-section boam that weighs 1000 lb dropped offnear a rivers odge. There is a rain storm and the beam rolls into the river and is floating weightlessly in thc water (ie, supported completely by the water). a (5 What is the weight/ft of this beam? d) An enterprising mammal that weights 200 lb decides to climb onto the exact middle of this beam and hops aride down the river. Now, what is the magnitude of the force supporting the beam and mammal? e) (5) Assume the mammal is on the beam. What is the supporting force per unit length? (5 Assume the mammal can be treatod as a concentrated force of 200 lb, and draw the free-body force diagram for the beam and mammal floating at rest on water. Note there are two distributed forces. 05 Draw load, shear and moment diagrams for this case Include numbers as appropriate.

Explanation / Answer

a)Weight / ft = 1000/20 = 50 lb/ft

b) it acts in upward direction in order to cancel force due to weight.

c) Since Summation of forces should be zero,

force due to water = 1000 lb

d) magnitude of new supporting force = 1000+200 = 1200 lb

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