What is bending? How can bending problems be prevented,and what is buckling?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Bending is the deformation of a structural element (like a beam) under a transverse load,causing it to sag.
To prevent excessive bending,we use the formula for the depression (sag) of a beam of length $l$,breadth $b$,and depth $d$ loaded at the center with weight $W$: $\delta = \frac{W l^3}{4 b d^3 Y}$,where $Y$ is Young's modulus. To minimize bending $(\delta)$,one should:
$1$. Reduce the length $(l)$ between supports.
$2$. Increase the depth $(d)$ of the beam (since $\delta \propto 1/d^3$).
$3$. Use a material with a higher Young's modulus $(Y)$.
Buckling is a form of structural instability that occurs when a long,slender column is subjected to a compressive axial load. Instead of just compressing,the column suddenly bends or bows out sideways,leading to potential structural failure.

Explore More

Similar Questions

The elongation of the copper wire of cross-sectional area $3.5 \,mm^2$, as shown in the figure, is (Given: $Y_{\text{copper}} = 10 \times 10^{10} \,N/m^2$ and $g = 10 \,m/s^2$).

Young's modulus of a perfectly rigid body material is

$A$ copper wire of length $2.2 \; m$ and a steel wire of length $1.6 \; m$,both of diameter $3.0 \; mm$,are connected end to end. When stretched by a load,the net elongation is found to be $0.70 \; mm$. Obtain the load applied in $N$.

Increase in length of a wire is $1 \, mm$ when suspended by a weight. If the same weight is suspended on a wire of double its length and double its radius,the increase in length will be ........ $mm$.

Two wires $A$ and $B$ of the same cross-section are connected end to end. When the same tension is applied to both wires,the elongation in wire $B$ is twice the elongation in wire $A$. If $L_A$ and $L_B$ are the initial lengths of the wires $A$ and $B$ respectively,then (Young's modulus of material of wire $A = 2 \times 10^{11} \ Nm^{-2}$ and Young's modulus of material of wire $B = 1.1 \times 10^{11} \ Nm^{-2}$):

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo