If δ is the depression produced in a beam of length L, breadth b and thickness d, when a load is placed at the mid point, then

Question

If δ is the depression produced in a beam of length L, breadth b and thickness d, when a load is placed at the mid point, then (A) δ propto L3 (B) δ propto (1/b3) (C) δ propto (1/d) (D) All of these

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/493d995d10fd8e1590b0956c27072b8f-.png" /> Since we know δ=(W L3/4 Y b d3) So we can say δ propto L3

Q. If $δ$ is the depression produced in a beam of length $L$ , breadth $b$ and thickness $d$ , when a load is placed at the mid point, then

$δ \propto L^{3}$

$δ \propto \frac{1}{b ^{3}}$

$δ \propto \frac{1}{d}$

All of these

Since we know
$δ = \frac{W L ^{3}}{4 Yb d ^{3}}$
So we can say $δ \propto L^{3}$

Q. If δ is the depression produced in a beam of length L, breadth b and thickness d, when a load is placed at the mid point, then

δ∝L3

δ∝b31​

δ∝d1​