Presentation for Module One Solid Mechanics

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    Solid mechanics

    N.SUBRAMANIAN

    [email protected]://mechsuman.blogspot.com

    MODULE 1

    Tension, Compression, and Shear

    mailto:[email protected]://d/Gere-START.pptmailto:[email protected]
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    Books recommended

    http://mechsuman.blogspot.com 2

    TEXT BOOKS:

    1. Bansal, R.K, A text book of strength ofmaterial, Laxmi Pulication (P) Ltd., 2010.

    2. Ramamrutham, S, strength of materials, 14thEdition, Dhanth Rai Publication,2011.

    REFERENCES:

    1. Popov E.P, Engineering Mechanics of Solids,Prentice-Hall of India, NewDelhi, 1997.

    2. Beer F. P. and Johnston R, Mechanics ofMaterials, 3rd Edition, McGraw-Hill Book Co,2002.

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    Introduction to Mechanics of Materials

    Definition:Mechanics of materials is a branch of applied

    mechanics that deals with the behaviour of solid bodiessubjected to various types of loading

    Compression Tension (stretched) Bending Torsion

    wisted) Shearing

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    2001 Brooks/Cole, a division of Thomson Learning, Inc. T homson Learningis a trademark used herein under license.

    Fig. 1-1 Structural members subjected to axial loads. (The tow bar

    is in tension and landing gear strut is in compression.)

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    Fig. 1-2 Prismatic

    bar in tension: (a)

    free-body diagram of

    a segment of the bar,

    (b) segment of the bar

    before loading, (c)segment of the bar

    after loading, and (d)

    normal stresses in the

    bar.

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    Fig. 1-3 Steel eyebar subjected to tensile loadsP

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    Fig. 1-4 Uniform stress

    distribution in a prismatic

    bar: (a) axial forcesP,

    and (b) cross section of

    the bar.

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    Fig. 1-5 Example 1-1.

    Hollow aluminum post in

    compression.

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    Fig. 1-6 Example 1-2.

    Steel rod supporting a

    weight W.

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    Fig. 1-10 Stress-strain diagram for a typical structural steel in

    tension (not to scale).

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    Fig. 1-11 Necking of a

    mild-steel bar in tension.

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    Fig. 1-12 Stress-strain diagram for a typical structural steel in

    tension (drawn to scale).

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    Fig. 1-13 Typical stress-strain diagram for an aluminum alloy.

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    Fig. 1-14 Arbitrary yield stress determined by the offset method.

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    Fig. 1-15 Stress-strain curves for two kinds of rubber in tension.

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    Fig. 1-16 Typical stress-

    strain diagram for a brittle

    material showing the

    proportional limit (point A)and fracture stress (point

    B).

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    Fig. 1-17 Stress-strain diagram for copper in compression.

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    Fig. 1-18 Stress-strain

    diagram illustrating

    (a) elastic behavior, and(b) partially elastic

    behavior.

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    Fig. 1-21 Relaxation of stress

    in a wire under constant strain.

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    Fig. 1-22 Axial elongation and lateral contraction of a prismatic

    bar in tension: (a) bar before loading, and (b) bar after loading.

    (The deformations of the bar are highly exaggerated.)

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    Fig. 1-23 Example

    1-3. Steel pipe in

    compression.

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    Fig. 1-24 Bolted connection in which the bolt is loaded in double

    shear.

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    Fig. 1-25 Bolted

    connection in which the

    bolt is loaded in single

    shear.

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    Fig. 1-26 Failure of a bolt in single shear.

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    Fig. 1-27 Small element of material subjected to shear streses.

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    Fig. 1-28 Element of material subjected to shear stresses and strains.

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    Fig. 1-29 Example 1-4. (a) Pin connection between strut Sand

    base plateB. (b) Cross section through the strut S.

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    Fig. 1-30 Example 1-5. Punching a hole in a steel plate.

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    Fig. 1-31 Example 1-6. Bearing pad in shear.

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    Fig. 1-32 Example 1-7. Vertical hanger subjected to a tensile load

    P: (a) front view of bolted connection, and (b) side view of

    connection.

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    Fig. 1-33 Example 1-8. Two-bar trussABCsupporting a sign of

    weight W.

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    Chapter 1

    Problems

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    Problem 1.2-1

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    Problem 1.2-2

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    Problem 1.2-3

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    Problem 1.3-2

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    Problem 1.3-6

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    Problem 1.4-1

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    Problem 1.4-2

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    2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learningis a trademark used herein under license.Problem 1.4-4

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    Problem 1.5-1