Home
Class 12
PHYSICS
Let a steel bar of length 'l', breadth '...

Let a steel bar of length 'l', breadth 'b' and depth 'd' be loaded at the centre by a load 'W'. Then the sag of bending of beam is (Y = Young's modulus of material of steel)

A

`(Wl^3)/(2bd^3Y)`

B

`(Wl^3)/(4bd^3Y)`

C

`(Wl^3)/(2db^3Y)`

D

`(Wl^3)/(4db^3Y)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

By the method of dimensions, test the accuracy of the equation : delta = (mgl^3)/(4bd^3Y) where delta is depression in the middle of a bar of length I, breadth b, depth d, when it is loaded in the middle with mass m. Y is Young's modulus of material of the bar.

A wire of length L and area of cross-section A, is stretched by a load. The elongation produced in the wire is I. If Y is the Young's modulus of the material of the wire, then the force constant of the wire is

The graph shows the extension of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross sectional area of the wire is 1mm^(2) , then the young's modulus of the material of the wire is (a). 2xx10^(11)Nm^(-2) (b). 2xx10^(10)Nm^(-2) (c). (1)/(2)xx10^(11)Nm^(-2) (d). none of these

The graph shown the extension of is wire of length 1 m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross sectional area of the wire is 1 mm^(2) , then the Young's modulus of the material of the wire. ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ALN_RACE_R64_E01_001_Q01.png" width="80%"gt

Two wires of diameter 0.25 cm , one made of steel and other made of brass, are loaded as shown in the figure. The unloaded length of the steel wire is 1.5 m and that of brass is 1.0 m . Young's modulus of steel is 2.0 xx 10^(11) Pa and that of brass is 1.0 xx 10^(11) Pa. Compute the ratio of elongations of steel and brass wires. (/_\l_("steel"))/(/_\l_("brass"))=?

A composite rod consists of a steel rod of length 25 cm and area 2A and a copper rod of length 50 cm and area A . The composite rod is subjected to an axial load F . If the Young's moduli of steel and copper are in the ratio 2: 1 then

A steel wire of length 600cm and diameter 1.2 mm is stretched through 4 mm by a load. Calculate the work done. Young's modulus of steel = 2xx 10^(11) Nm^(-2) .

A load of 4 kg is suspended from a ceiling through a steel wire of length 2 m and radius 2 mm. It is found that the length of the wire increase by 0.032 mm as equilibrium is achieved. What would be the Young's modulus of steel ? (Take , g=3.1 pi m s^(-2) )

A composite wire of uniform diameter 3mm consisting of copper wire of length 2.2 m and a steel wire of length 1. 6m stretches under a load by 0.7mm. Calcualte the load, given that the Young's modulus of copper is 1.1 xx 10^(11) Pa and for steel is 2.0 xx 10^(11) Pa .

The adjacent graph shows the estension (Deltal) of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross-sectional area of the wire is 10^-6m^2 , calculate the Young's modulus of the material of the wire.