A rod is fixed between two points at $20°C$. The coefficient of linear expansion of material of rod is $1.1 \times {10^{ - 5}}/^\circ C$ and Young's modulus is $1.2 \times {10^{11}}\,N/m$. Find the stress developed in the rod if temperature of rod becomes $10°C$
Easy
Download our app for free and get started
(a)Thermal stress =$Y\alpha \Delta \theta $
$ = 1.2 \times {10^{11}} \times 1.1 \times {10^{ - 5}} \times (20 - 10)$$ = 1.32 \times {10^7}\;N/{m^2}$
$ = 1.2 \times {10^{11}} \times 1.1 \times {10^{ - 5}} \times (20 - 10)$$ = 1.32 \times {10^7}\;N/{m^2}$
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
- 1Increase 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 ........ $mm$View Solution
- 2View SolutionThe load versus elongation graph for four wires of the same material is shown in the figure. The thickest wire is represented by the line
- 3A uniformly tapering conical wire is made from a material of Young's modulus $Y$ and has a normal, unextended length $L.$ The radii, at the upper and lower ends of this conical wire, have values $R$ and $3R,$ respectively. The upper end of the wire is fixed to a rigid support and a mass $M$ is suspended from its lower end. The equilibrium extended length, of this wire, would equalView Solution
- 4Which of the following curve represents the correctly distribution of elongation $(y)$ along heavy rod under its own weight $L \rightarrow$ length of rod, $x \rightarrow$ distance of point from lower end?View Solution
- 5In the given figure, two elastic rods $A$ & $B$ are rigidly joined to end supports. $A$ small mass $‘m’$ is moving with velocity $v$ between the rods. All collisions are assumed to be elastic & the surface is given to be frictionless. The time period of small mass $‘m’$ will be : [$A=$ area of cross section, $Y =$ Young’s modulus, $L=$ length of each rod ; here, an elastic rod may be treated as a spring of spring constant $\frac{{YA}}{L}$ ]View Solution
- 6View SolutionIn solids, inter-atomic forces are
- 7The elastic potential energy stored in a steel wire of length $20\,m$ stretched through $2 \,m$ is $80\,J$. The cross sectional area of the wire is $.........\,mm ^2$ (Given, $y =2.0 \times 10^{11}\,Nm ^{-2}$ )View Solution
- 8A student plots a graph from his reading on the determination of Young’s modulus of a metal wire but forgets to label. The quantities on $X$ and $Y$ axes may be respectively.View Solution
- 9The lower surface of a cube is fixed. On its upper surface, force is applied at an angle of $30°$ from its surface. The change will be of the typeView Solution
- 10An increases in pressure required to decreases the $200\,\,litres$ volume of a liquid by $0.004\%$ in container is ........... $kPa$. (Bulk modulus of the liquid $= 2100\,\,MPa$ )View Solution