david roylance mechanics of materials Part 6 ppt

... couple. The first five of these functions are sketched in Fig. 11. 8 STRESSES IN BEAMS David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, ... denominator is small compared to 1. 2 Constitutive Equations David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge,...

Ngày tải lên: 11/08/2014, 02:21

... + ∂u ∂y dy 13 Transformation of Stresses and Strains David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, MA 02139 May 14, 2001 Introduction One of the most ... RAR −1       x  y γ xy      3 The Equilibrium Equations David Roylance Department of Materials Science and Engineering Massachusetts Institut...

Ngày tải lên: 11/08/2014, 02:21

... y=3.01892 z=0 73 x=3.9 960 2 y=3.51942 z=0 74 x=3.33 267 y=4 z=0 75 x=3.577 06 y=3 .65 664 z=0 76 x=4 y=4 z=0 CSTPlaneStress elements 1 nodes=[13,12,23] material=steel 2 nodes= [67 ,58,55] 6 nodes=[50,41,40] . . . 7 ... description nodes= 76 elements=1 16 nodes 1 x=1 y=-0 z=0 constraint=slide_x 2 x=1.1 964 4 y=-0 z=0 3 x=0.984 562 y=0. 167 939 z=0 constraint=free 4 x=0.94 063 4 y=0.335...

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... constant N A =6. 022 × 10 23 /mol Acceleration of gravity g =9.805 m/s 2 1 Matrix and Index Notation David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, ... in Mechanics of Materials Unit Conversion Factors Density 1 Mg/m 3 = 1 gm/cm 3 = 62 .42 lb/ft 3 = 0.0 361 3 lb/in 3 = 102.0 N/m 3 Energy 1 J = 0.2390 calorie...

Ngày tải lên: 11/08/2014, 02:21

... result can also be written 7 ATOMISTIC BASIS OF ELASTICITY David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, MA 02139 January 27, ... measure of the internal forces within the material. Much of Mechanics of Materials is concerned with elaborating this concept to include higher orders of dimensionality, worki...

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... 22–33 aramid 124 3 .6 2.3 1.45 86 2.5 22–33 boron 400 3.5 1.0 2.45 163 1.43 330–440 HS graphite 253 4.5 1.1 1.80 140 2.5 66 –110 HM graphite 520 2.4 0 .6 1.85 281 1.3 220 66 0 Of course, these materials are ... measure of a material’s mechanical properties, and all students of Mechanics of Materials will encounter them often. However, they are not without some subtlety, espe...

Ngày tải lên: 11/08/2014, 02:21

... Advanced Strength of Materials, McGraw-Hill, New York, 1952 12 The Kinematic Equations David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, ... mathematician Simeon Denis Poisson, (1781–1840). 6 SHEAR AND TORSION David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technolo...

Ngày tải lên: 11/08/2014, 02:21

... variation of stress as a function of height in a beam of irregular cross section. Another common design or analysis problem is that of the variation of stress not only as a function of height ... c1:=-87.82;c2:=0;Ra:=28.11;Rb:=93.78;Rc:=28.11; > # the equation of the deflection curve is: > y(x); 33 4 .68 6 x Heaviside(x) + 15 .63 (x - 7.5) Heaviside(x - 7.5) 34 + 4 .68 6 (...

Ngày tải lên: 11/08/2014, 02:21

... “Prediction of Long-Term Creep Compliance of General Composite Lami- nates,” Experimental Mechanics, p. 89, March 19 86. 13 LAMINATED COMPOSITE PLATES David Roylance Department of Materials Science ... 0.2228D-19 0.7218E-10 0.1084E-18 -0 .60 22E- 16 0.3058D-09 -0.4 265 D-11 -0.1 967 D-15 0 .62 14E-22 -0.7218E-10 -0.1228E-15 -0.4 265 D-11 0.3058D-09 -0.2580D-14 -0 .60 22E- 16 -...

Ngày tải lên: 11/08/2014, 02:21

... is: ** ** Nodal Displacements Node # DOF 1 DOF 2 DOF 3 DOF 4 DOF 5 DOF 6 1 000000 2 0.013333 -0.03219 0000 3 0.02 -0.084379 0000 4 000000 5 -0.0 066 667 -0.0388 56 0000 Element Stresses 1: 4000 2: ... even introductory treatments of Mechanics of Materials – such as these modules – should outline its principal features. In spite of the great power of FEA, the disadvantages...

Ngày tải lên: 11/08/2014, 02:21