Problem 4.139 Part A Take that uo 5.8 kN/m Figure 1) Replace the distributed loa
ID: 3280046 • Letter: P
Question
Problem 4.139 Part A Take that uo 5.8 kN/m Figure 1) Replace the distributed loading with an equivalent resultant force. Express your answer to three significant figures and include the appropriate units Fa = 175.5 lkN Submit My Answers Give Up Incorrect; Try Again; 6 attempts remaining Part B Specily as location on the beam measured from point O Express your answer to three significant figures and include the appropriate units. 04 1 i| | |alue || Units Wo Submit My Answers Give Up Continue 15 mExplanation / Answer
A)
Total force = Area of the triangle
= 1/2 x base x height
= 1/2 x (3 + 1.5) m x 5.8 kN / m
= 13.05 kN.
B)
The net force will be acting on the center of mass of the triangle.
The center of mass of a triangle is its centroid.
The x co-ordinate of the centroid is
X = (0 + 3 + 4.5) / 3 = 2.5 m
So the force is acting at 2.5 m from point O.