Elasticity

  • 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…

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  • 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…

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  • 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…

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  • 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…

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  • 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…

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