Mechanics Of Materials Saouma Episode 9 potx

... .90 29 . 797 1 1.60 1.1 899 1.0571 .92 42 .92 42 .8264 1.80 1.1476 1.0 495 .95 13 .95 13 .8677 2.00 1.11 49 1.04 09 .96 70 .96 70 . 895 7 2.20 1. 090 4 1.0336 .97 68 .97 68 .91 54 2.50 1.06 49 1.0252 .98 55 .98 55 .93 58 3.00 ... .6 898 .6 898 .5688 1.20 1.2208 .98 51 .7 494 .7 494 .6262 1.25 1.2405 1.0168 . 792 9 . 792 9 .6701 1.30 1.2457 1.0358 .82 59 .82 59 .7053 1.40 1.2350 1.0536 ....

Ngày tải lên: 13/08/2014, 17:20

... a 3 3 V 3 (1.47) Victor Saouma Mechanics of Materials II Draft 4 KINETICS The vector sum of all external forces acting on the free body is equal to the rate of change of the total momentum 2 . 12 ... orthogonal. Victor Saouma Mechanics of Materials II Draft Chapter 2 KINETICS Or How Forces are Transmitted 2.1 Force, Traction and Stress Vectors 1 There are two kinds of...

Ngày tải lên: 13/08/2014, 17:20

... obtained. Victor Saouma Mechanics of Materials II Draft 9. 2 Airy Stress Functions; Plane Strain 9 These equations are taken from Eq. 9. 50, 9. 51 and 9. 52 with B = 0 and therefore represent a possible state of ... satisfied by the following stress field T rr = A r 2 +2C (9. 59- a) T θθ = − A r 2 +2C (9. 59- b) T rθ = 0 (9. 59- c) Victor Saouma Mechanics of Materials II...

Ngày tải lên: 13/08/2014, 17:20

... Loading 5 Victor Saouma Mechanics of Materials II Draft iv Victor Saouma Mechanics of Materials II Draft Part I CONTINUUM MECHANICS Draft viii CONTENTS Victor Saouma Mechanics of Materials II Draft iii PREFACE One ... Compatibility 30 Victor Saouma Mechanics of Materials II Draft DRAFT Lecture Notes Introduction to MECHANICSofMATERIALS Fundamentals of Inela...

Ngày tải lên: 13/08/2014, 17:20

... (3.26-b) Victor Saouma Mechanics of Materials II Draft 10 KINETICS Figure 2.5: Differential Shell Element, Stresses Figure 2.6: Differential Shell Element, Forces Victor Saouma Mechanics of Materials ... v(x)= ∂v(x) ∂x i ·e i (3.13) Victor Saouma Mechanics of Materials II Draft 12 MATHEMATICAL PRELIMINARIES; Part II VECTOR DIFFERENTIATION Victor Saouma Mechanics of...

Ngày tải lên: 13/08/2014, 17:20

... E 22 = ∂u 2 ∂X 2 (4.86) Victor Saouma Mechanics of Materials II Draft 4.2 Strain Tensor 19 Therefore the off diagonal terms of the linear strain tensor represent one half of the angle change between ... π/4), it has the equation x ∗2 2 +9x ∗2 3 =3 Victor Saouma Mechanics of Materials II Draft 8 KINEMATIC 24 The deformation gradient characterizes the rate of change of d...

Ngày tải lên: 13/08/2014, 17:20

... n (2) ·n (2) =1) n (2) =  001  (4.178) Victor Saouma Mechanics of Materials II Draft 40 KINEMATIC Figure 4.12: Wheatstone Bridge Configurations Victor Saouma Mechanics of Materials II Draft Chapter 5 MATHEMATICAL PRELIMINARIES; ... obtain  Ω Φ ∂Ψ ∂x dΩ=  Γ ΦΨn x dΓ −  Ω ∂Φ ∂x ΨdΩ (5.11) Victor Saouma Mechanics of Materials II Draft 26 KINEMATIC Example 4-12: Polar...

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... =  dq θ  rev (6.44) Victor Saouma Mechanics of Materials II Draft 12 FUNDAMENTAL LAWS of CONTINUUM MECHANICS Victor Saouma Mechanics of Materials II Draft 6.4 Conservation of Energy; First Principle of Thermodynamics ... = 1 2 T ij E ij (7.7) Victor Saouma Mechanics of Materials II Draft 6.5 Second Principle of Thermodynamics 9 equations of state. Any s...

Ngày tải lên: 13/08/2014, 17:20

... (8.20-b) Victor Saouma Mechanics of Materials II Draft 2 SOME ELASTICITY PROBLEMS X X XL M M 1 2 3 T T aθ n n Figure 9. 1: Torsion of a Circular Bar E 13 = 1 2 x 2 ∂θ ∂x 1 (9. 3-c) 9 The non zero ... ν            σ rr σ θθ σ zz τ rθ        (8.46) Victor Saouma Mechanics of Materials II Draft Chapter 9 SOME ELASTICITY PROBLEMS 1 Practical solutions of...

Ngày tải lên: 13/08/2014, 17:20

... 13.7: Effect of Geometry and Load on Crack Stability, (Gdoutos 199 3) Victor Saouma Mechanics of Materials II Draft 6 THEORETICAL STRENGTH of SOLIDS; (Griffith I) σ is the stress at the tip of the ellipse ... independent of the crack length. However, under plane stress R is found to be an increasing function of a, Fig. 13 .9 59 If we examine an initial crack of length a i :...

Ngày tải lên: 13/08/2014, 17:20