Question

Problem 4.150 K) 2 of 10 Replace the loading by an equivalent foroe Express your answer to three sigaificant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward -58 kN/m Take that t (Figure 1) FRValue kN Figure 1 of 1 Submit Previous Answers Request Answer X Incorrect: Try Again 15kN 500 kN m Part E Replace the loading by a couple moment acting at point O 7.5 m 45 m Express your answer to three significant figures and include the appropriate units. Enter positive value if the moment is counterclockwise and negative value if the moment is clockwise

Answer 1

Answers:

Basically the entire loading consist of 2 loadings which are triangular.

the 1st triangle extends from the left support to 7.5 m

The concentrated load will act at a distance (2/3)*7.5 = 5m from the left end

w = 5.8 kN/m

F1 = (1/2) * 5.8 * 7.5

= 21.75 kN

For the 2nd triangular loading from the right end, it will act at a distance (2/3)*4.5 = 3 m from the right end.

F2 = (1/2)*5.8 * 4.5

= 13.05 kN

and you have the concentrated load of 15 kN

So equivalent force = 21.75 + 13.05 + 15 = 49.8 kN

the force is downward so - 49.8 kN

For equivalent moment we take

$\sum$ M about point O = 0

500 + F1* 5 + F2*9 + 15*12 = M at point O

500 + 21.75*5 + 13.05*9 + 180

= 906.2 kN-m clockwise

So - 906.2 kN-m