Question

Determine
(a) The distributed load 0 w at the end D of the beam ABCD for which the reaction at B is zero,
(b) The corresponding reactions at C.

Answer 1

did you draw the freebody diagram?

Answer 2

what position did you take for the load?

Answer 3

remember the centroid.

Answer 4

the load would not change!! it would be just one location

Answer 5

and dependent on \(w_0\)

Answer 6

no as a function variable

Answer 7

correct.

Answer 8

yes.. variable on \(w_0\).
you will get an equation in terms of \(w_0\) and you solve for that.

Answer 9

dont think. just put it on paper. you'll see

Answer 10

place the force first...

Answer 11

the load equation is: (measuring from A)
\[L(x)=w_0+3.5-{3.5\over12}x\]

Answer 12

so, its position is:
\[
\bar{x}=\frac{\int_0^{12} xL(x)dx}{12}
\]

Answer 13

using equation of line!! its linear

Answer 14

or shortcut, for such linear ones,
it will be (1/3)rd distance from the maximum value

Answer 15

yes

Answer 16

redraw the picture with forces and locations just in case

Answer 17

3 forces and 1 moment

Answer 18

moment on end, two forces for two reactions and one load

Answer 19

correct.
but write down the complete equation so you may reuse it later.
if they say set \(N_B\) to 0, do it on the next step

Answer 20

Enter your equation here so I can verify

Answer 21

also, post your diagram

Answer 22

Like I said, the load is NOT in the center!!!!

Answer 23

thats after calculation?

Answer 24

but that is if there was no uniformity at all.