Question

Which sketch best represents the moment diagram for the given beam and shear diagram. Use the relationships between the load, shear, and moment to make your choice. The sketches below are not to scale Shear 45om 285bf A 1171 50B 3t A) B) Moment m

Answer 1

as per given information

option B is correct.

reason:

1. as from loading diagram, it will produce hogging moment through out the beam so bending moment must be in negative direction or in down ward direction.

2. again from loading diagram, bending moment diagram have 3-degree curve equation because loading diagram have 1-degree loading so

3. nature of 3-degree equation of bending moment is decided from slope of shear force diagram:

let we start from point B

at this point(point B) moment will be zero.

as we move toward point A of the given beam we note that magnitude of shear force is increasing from point B to toward point A so the curve will be incresing.

all these 3 point best fit in option B curve