cure https W11 blem 470 session master gengineering cornmyct

cure https W#11 blem 4.70 session master gengineering corn/myct item ewassignmentProblemD-6732863&offset-prev; wo couples act on the beam igure 1) Part A If F 128 lb, determine the resultant coople Express your answer to three significant figures include the appropriate units. M-Value Units Submit Request Answer Provide Feedback gure

Solution

Resultant couple acting on the above beam is the algebraic sum of couples due to

i) 200 lb force acting on either side of beam at a perpendicular distance of 1.5 ft

ii) Force \'F\' horizontal component acting 30 degrees horizontal at a perpendicular distance of 1.25 ft

Given F = 128 lb

F cos 30 = 128 cos 30 = 25.98 lb

Therefore total moment = (200 x 1.5) + (25.98 x 1.25) (Both producing an Anti-clockwise moment)

= 332.475 lb-ft (Anti-clockwise)

Note:Here the vertical component of velocity doesn\'t produce any moment since no perpendicular force existing between the vertical components. So only horizontal moment exists.