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Question

iii! 5 4) 78% (a Sun 10:09 PM Q E Firefox File Edit View History Bookmarks Tools Windo Help x Bb Module 6 Assignment E... x Bb Take Test: M6 Assignmen... x Netflix a https://bblearn missouri.edu/webapps/assessment/take/launch jsp?course assessment id _91123 1&course; id c a Search Most Visited Apple Getting started Disney ESPN Yahoo B iCloud If Facebook B Twitter 3 Wikipedia News Popular Bookmarks Bookmarks Toolbar Save and submit Save All Answers Close Window Book ks Menu v Unsorted Bookmarks myzou: University of M QUESTION 1 0.5 points Save Answer Sig In l MasteringPhy Bb Login Blackboard Le Determine the compressive force (absolute value) in member DC in kilo-newtons. The uniform beam has has a mass of 149 N Netflix kg. Be sure to include units as part of your answer! All-New Episodes I Ne... 4 kN 1.5 m 1.5 m 1.5 m FPOS 02.jpg Copyright 2010 Pearson Prentice Hall, Inc. Click Save and Submit to save and submit. Click Save All Answers to save all answers.

Explanation / Answer

let force in DC is F.

angle made by DC with horizontal (the angle ACD)=arctan(1.5/1.5)=45 degrees
its component along horizontal =-F*cos(45)=-0.7071*F (-ve sign is because it is along to the left)(

its component along vertical=-F*sin(45)=-0.7071*F (-ve sign because it is vertically downward)

let normal force at A be F1, to the right

weight of the beam is acting at C in vertically downward direction with a magnitude=149*9.8=1460.2 N

hence balancing the vertical forces:

0.7071*F=1460.2+4000

==>F=7721.88 N

hence the magnitude of force in member DC is 7.72188 kN

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