The strain energy stored in a body of volume $V$ due to shear strain $\phi$ is (shear modulus is $\eta$ )
Medium
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Compressibility per unit atm. pressure of water is $'\sigma '$ and if due to pressure $P$ there is decrement in volume $V$, find change is volumeView Solution
- 2A composite rod made up of two rods $AB$ and $BC$ are joined at $B$ . The rods are of equal length at room temperature and have equal masses. The coefficient of linear expansion a of $AB$ is more than that of $BC$. The composite rod is suspended horizontal by means of a thread at $B$. When the rod is heatedView Solution
- 3Two wires are made of the same material and have the same volume. However wire $1$ has crosssectional area $A$ and wire $2$ has cross-section area $3A$. If the length of wire $1$ increases by $\Delta x$ on applying force $F$, how much force is needed to stretch wire $2$ by the same amount?View Solution
- 4A steel rod is projecting out of rigid wall. The shearing strength of steel is $345 \,\,MN/m^2.$ The dimensions $AB = 5\,\, cm,\,BC = BE = 2\,\, cm.$ The maximum load that can be put on the face $ABCD$ is .......... $kg$ (neglect bending of the rod) $(g = 10\,\, m/s^2)$View Solution
- 5If a spring is extended to length $l,$ then according to Hook's lawView Solution
- 6The stress-strain curves are drawn for two different materials $X$ and $Y$. It is observed that the ultimate strength point and the fracture point are close to each other for material $X$ but are far apart for material $Y$. We can say that materials $X$ and $Y$ are likely to be (respectively)View Solution
- 7Four identical hollow cylindrical columns of mild steel support a big structure of mass $50 \times 10^{3} {kg}$, The inner and outer radii of each column are $50\; {cm}$ and $100 \;{cm}$ respectively. Assuming uniform local distribution, calculate the compression strain of each column. [Use $\left.{Y}=2.0 \times 10^{11} \;{Pa}, {g}=9.8\; {m} / {s}^{2}\right]$View Solution
- 8The ratio of diameters of two wires of same material is $n : 1$. The length of wires are $4\, m$ each. On applying the same load, the increase in length of thin wire will beView Solution
- 9A wire of length $L$ and radius $r$ is clamped rigidly at one end. When the other end of the wire is pulled by a force $f$, its length increases by $l$. Another wire of same material of length $2 L$ and radius $2 r$ is pulled by a force $2 f$. Then the increase in its length will beView Solution
- 10View SolutionThe following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?