Three forces act on the anchor bolt connection shown below. The forces are concu

Question

Three forces act on the anchor bolt connection shown below. The forces are concurrent at point A. Express all answers to three significant figures with the appropriate units. F2 = 35 kN F3 = 10 kN Problem #1 Express force F1 in rectangular vector form. Take F, = 20 kN and 6, = 50". Express force Pa in rectangular vector form Express force Fa in rectangular vector form Determine the resultant force FR in rectangular vector form. Take F-20 kN and 6,-50°. Determine the magnitude Fe of the resultant force. Take F, = 20 kN and ,-50". Problem #6 Determine the angle of the line of action BR of the resultant force from the nearest horizontal axis. Take F, = 20 kN and ,-50°. Determine the required magnitude F,and line of action 1 for the resultant force acting at point A to be equal to zero.

Explanation / Answer

Problem #1

(20cos50)i+(20sin50)j

(12.8557i+15.32j)kN

Problem #2

(35cos40)-i+(35sin40)j

(26.812-i+22.497j) kN

Problem #3

-10i

Problem #4

(12.8557i+15.32j)kN+(26.812-i+22.497j) kN-10i

=29.6677i+37.817j

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