Define The Term ‘Neutral Surface’, ‘Plane Of Bending’, And ‘Neutral Axis’.
Neutral Surface: Let us consider a uniform metallic beam ABCD, which consists of a large number of filaments of small thickness lying one above the other, is fixed at one…
Compare The Loads Required To Produce Equal Depression For Two Beams Made Of The Same Material And Having The Same Length And Weight With Only Different That One Has Circular Cross Section While The Other Has Square Cross Section.
Let us consider a bar of length l and density . This bar has a circular cross-sectional area of radius r. So the mass of this bar is .Now let…
In Case Of Bending Of A Rod, Only Young’s Modulus Comes Into Play And Not Modulus Of Rigidity, Even Though There Is Change In Shape – Explain.
When bending is produced in a rod, some filaments of the rod are extended, some are contracted, and the others remain unchanged. So longitudinal stresses are developed in the rod…
A Light Cantilever Is Clamped Horizontally At One End And A Heavy Mass Is Attached At The Other End. What Will Be The Time Period Of Oscillation Of The Beam When The Load Is Further Depressed And Released?
Transverse vibration of a loaded cantilever: Let us consider a light cantilever MN of length l is clamped horizontally at one and M and is loaded by a weight W…
A Uniform Rectangular Heavy Beam Is Supported Near The Ends On The Two Knife Edges Held At The Same Horizontal Plane And A Load ‘W’ Is Applied At The Midpoint. Determine The Depression Of The Midpoint In Term Of The Beam Constants.
Depression of the midpoint of a heavy beam supported at two ends and loaded in the middle: Let, MN represents a uniform rectangular heavy beam of length l and the…
A Uniform Rectangular Beam Is Suspended Near The Ends Of Two Knife Edges Held At The Same Horizontal Plane And A Load ‘W’ Is Applied At The Midpoint. Determine The Depression Of The Midpoint In Term Of Beam Constant.
Depression of the midpoint of a weightless beam supported at two ends and loaded in the middle: Let, MN represents a uniform rectangular beam of length l, which is supported…
Find The Depression Of The Free End Of A Heavy Cantilever Due To A Load ‘W’ Suspended There.
Depression of the loaded end of a heavy cantilever: Let, the beam PQ represents a heavy cantilever of length l, fixed horizontally at the end P and loaded at the…
Find An Expression For The Depression Of The Mid Point Of A Uniform Rectangular Beam Supported Near The Ends Of Two Knife Edges In The Same Horizontal Plane, And The ‘W’ Is Applied At The Mid Point.
Depression of a beam supported at the ends: Let us consider a uniform rectangular beam of negligible weight supported at the two knife edges at the points M and N…
Find The Depression Of The Free End Of A Light Cantilever Due To A Load ‘W’ Suspended There.
Cantilever: A beam of uniform cross-section ( circular or rectangular ) and of homogeneous, isotropic, elastic material fixed horizontally at one end and loaded at other free end is called…
What Is The ‘Internal Bending Moment’ Of A Homogeneous Beam? Derive An Expression For The Internal Bending Moment When The Bending Is Small.
Internal Bending Moment: A homogeneous beam is fixed at one end and is loaded at the other end. As a result, bending is produced in the beam. Let us consider,…