Conference Session

Mechanics Division Poster Session

Collection

2010 Annual Conference & Exposition

Authors

Timothy Hodges, Virginia Military Institute; Jon-Michael Hardin, Virginia Military Institute

Tagged Divisions

Mechanics

] matrixis typically denoted as the [Q] stiffness matrix for loading that coincides with the fiber direction ] _(i.e., 0° angle) and is denoted as Q for loading at a non-zero angle with respect to the fiberdirection.The first example modeled by the students in this course is for an isotropic material in loaded inplane stress at a 0° angle where the material properties are given as E11 := 207·GPa, E22 :=207·GPa, ν12 := 0.33 and G12 :? E11 ? 77.82 GPa . Using these material property 2 * ∗1 − π 12 +values, the students determine the values of the [Q] matrix elements:  232.297 76.658 0

Conference Session

Teaching Mechanics of Materials & General Mechanics

Collection

2010 Annual Conference & Exposition

Authors

Ganapathy Narayanan, The University of Toledo

Tagged Divisions

Mechanics

.Bar Structure Stochastic Static Analysis8Before doing any computer solutions, let us discuss a simple one element baranalysis without making any reference to any computer programs or results.Figure 4 shows a cantilever bar of length L, cross sectional area A, the materialmodulus of elasticity E, and the bar is subject random axial load Q. In addition,let us assume that one of the parameters of A, L E and Q is random at a time. Page 15.922.8 7 EA Q L qFigure 4: Cantilever Bar

Conference Session

Teaching Mechanics of Materials & General Mechanics

Collection

2010 Annual Conference & Exposition

Authors

Ing-Chang Jong, University of Arkansas

Tagged Divisions

Mechanics

learning, all examples will be first solved by the traditional method ofintegration (MoI) with the use of singularity functions then solved again by the method ofmodel formulas (MoMF). As usual, the loading function, shear force, bending moment, slope,and deflection of the beam are denoted by the symbols q, V, M, y , and y, respectively.Example 1. A cantilever beam AB with constant flexural rigidity EI and length L is acted on bya concentrated force of magnitude P at C, and two concentrated moments of magnitudes PL and2PL at A and D, respectively, as shown in Fig. 2. Determine the slope A and deflection yA atend A. Fig. 2. Cantilever beam carrying a force and two momentsSolution by MoI. Using the symbols defined earlier

Conference Session

Teaching Dynamics

Collection

2010 Annual Conference & Exposition

Authors

Josue Njock-Libii, Indiana University-Purdue University, Fort Wayne

Tagged Divisions

Mechanics

balls after one match and to assess how the coefficient ofrestitution varied with initial drop heights. Page 15.1331.12 Energy Dissipated - .., 30 Q,) cu 25 a. I/) I/) 20 - "C c Q,) (.) '­ 15 10 • Height1 • Height2 Q,) 5 a.. 0

Conference Session

Teaching Statics

Collection

2010 Annual Conference & Exposition

Authors

Christopher Papadopoulos, University of Puerto Rico, Mayagüez; Aidsa Santiago Roman, University of Puerto Rico, Mayagüez

Tagged Divisions

Mechanics