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Problem 4.106 The forces F {-6i 2j 4k) kN and F23 13i-3j -2k) kN act on the end of the beam. Replace these forces by an equivalent force and couple moment acting at O. (Figure 1) Figure 1 of 1 Fi 150 mm .F2 4 m Part A Determine the resultant force. Enter the z, y, and z components of the force separated by commas using three significant figures kN My Answers Give Up Submit Part B Determine the equivalent resultant couple moment about point O. Enter the z, y, and z onents of the moment separated by commas using three significant figures. RO),, (MRO RO kN.In My Answers Give Up Submit Provide Feedback Continue

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Answer #1

FR = F1 + F2

FR = -6i + 2j - 4k + 3i -3j - 2k

FR = -3i - j - 6k


(FR)x , (FR)y , (FR)z = -3 . -1 , -6   k N


=================

r1 = 4i -0.15j + 0.25 k

M1 = r1 x F1

M1 = 0.1i + 14.5 j + 7.1 k

r2 = 4i + 0.15j + 0.25 k

M2 = r2 x F2

M2 = 0.45 i + 8.75 j - 12.45 k


M = M1 + M2

M = 4.45i + 8.95 j - 12.2 k

(MR0)x , (MRo)y , (MRo)z = 4.45 , 8.95 , -12.2 kNm

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