3 A cantilever beam is loaded as shown What is the magnitude

3. A cantilever beam is loaded as shown. What is the magnitude of the reaction V and the moment M at the fixed end, neglecting the weight of the beam? 1000 #/FT 5000 12\'-0 A. V = 11,000, M = 84,000 ft.-lbs. B. V = 11,000, M = 96,000 ft.-lbs. C. V = 17,000#; M = 108,000 ft.-lbs. D. V = 17,000#; M = 132,000 ft.-lbs.

Solution

Apply eqilubrium equations:

v=5000+(1000*12/2)

=11000#

M=5000*12+(1000*12/2)*12/3

=60000+24000

=84000 ft.lb

Option A is correct.