CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Sufficient Condition for an Extrema

what is the s...

Question

what is the shape of influence line diagram for the maximum bending moment in respect of a simply supported beam?

A

Triangular

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

Parabolic

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

Circular

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

Rectangular

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B Parabolic
The maximum bending moment for any position of load occur under the load. So the equation for maximum bending moment is

$M_{m a x} = \frac{x (L - x)}{L}$

Thus the ILD for maximum bending moment is parabolic. This is also called envelop of maximum bending moment.

Suggest Corrections

thumbs-up

6

Similar questions

Q. For a simply supported beam on two end supports, the bending moment is maximum

Q. In a simply - supported beam loaded as shown below, the maximum bending moment in Nm is

Q. Shear force diagram of a simply supported beam of length 4 m is shown below , the design bending moment in the beam will be ________kNm

Q. A simply supported beam AB has the bending moment diagram as shown in the following figure.

The beam is possibly under the action of following loads:

Q. A simply supported beam has uniform cross-section, b = 100 mm, d = 200 mm, throughout its length. The beam is subjected to a maximum bending moment of

6 \times 10^{7}

N-m. The corresponding bending stress developed in the beam is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Extrema

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Sufficient Condition for an Extrema

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon