Displaying all 5 results
- 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