Chapter 7
Problems
7.1 Problem Set: Mechanisms
The dimensions of the planar mechanisms, shown in Figs. 7.17.15, are given in Tables 7.17.15, respectively. The angle of the driver link 1 with the horizontal axis is . The constant angular speed of the drive
American University of Beirut
Exam I MECH 320, Spring 08 Saturday, March 29, 2008 Duration: 90 minutes
Miscellaneous Formulas:
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Problem 1 Equilibrium Equations (20 points) Member A of the body shown in the figure is subjected to a compressive force of 5
Problem 1
Problem 2
Problem 3.
I=/2 . r4
Problem 4.
Problem 5. I= 1/12 x b x d3 for this problem (rectangular shape)
Problem 6
Problem 7. I= 1/12 x b x d3 for this problem (rectangular shape)
Problem 8 Strain transformations equation
Problem 9.
Problem 10
Problem 5 -Solution. Part a. The bar is sectioned (Fig b) and the internal resultant loading consists only of an axial force for which P=800 N. Average stress. The average normal stress is determined by: P 800 N = = = 500 KPa A (0.04m )(0.04m ) No shear s
Mechanisms and Robots Analysis with MATLAB
Dan B. Marghitu
Mechanisms and Robots Analysis with MATLAB
123
Dan B. Marghitu, Professor Mechanical Engineering Department Auburn University 270 Ross Hall Auburn, AL 36849 USA
ISBN 978-1-84800-390-3 e-ISBN 978-1
Strain and deformation
MECH 320-Mechanic of materials Prepared By: Nasser-Eddin M., Ph.D
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Table of Contents
Displacements Rigid
Body vs Deformation Normal & Shear Strain Experimental Mohr's Circle
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Displacement
Whether we know it or not we are all intu
Strain energy
MECH320-Spring 2008 Nasser-Eddin M., PhD
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Outlines
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Cars Example
One component of the suspension system is the springs, which provide a sort of energy reservoir. To be useful, springs must be able to absorb and release energy repetitivel
Strain II
MECH320-MECHANICS OF MATERIALS
Prepared by: Nasser Eddin Mohamad, Ph.D
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Contents
Strain at a Point 2D Strain 3D Strain Strain as an Ellipsoid
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A general description of strain
In this stack we will develop a general characterization of strain
STRESS TRANSFORMATIONS AND MOHRS CIRCLE
MECH320-SPRING 08
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OUTLINES
Principal Stresses Maximum Shear Stress Mohr's Circle
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Principal stresses
Consider the traction vector on the x-face as shown. For this entire stack we will make an important limitation
Stress Transformation Examples: 1
(a) Determine the stress components for an element rotated 25 clockwise. (b) Determine the principal stresses, maximum in-plane shear, and the principal angle.
Example I Example II Special Cases of Mohr's Circ
These are t
Suggested problems for midterm 1.
Problem 2
Problem 3-
Problem 4
Problem 5
Problem 6
Problem 7. The state of stress at a point in a member is shown in the figure below. Determine the stress components acting on the inclined plane AB, by using stress trans
-IIIStress Stress transformations transformations
Prepared by: Nasser-Eddin M., Ph.D M., Ph.D
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Stress transformations
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OUTLINES
Problem Statement Formulation of the Problem Applying Equilibrium Transforming the Shear Stress Transforming the Normal Stre
Stress-Part II-Examples
Prepared by: Nasser-Eddin M., Ph.D
Page 1 AUB MECH320
Simple stress example I
Page 2
AUB
MECH320
Page 3
AUB
MECH320
Since you are only required to calculate the "average" stress on the section, the simplified formula: avg = Fn/A ma
Chapter 1
Introduction
1.1 Degrees of Freedom and Motion
The number of degrees of freedom (DOF) of a mechanical system is equal to the number of independent parameters (measurements) that are needed to uniquely dene its position in space at any instant of
Chapter 2
Position Analysis
2.1 Absolute Cartesian Method
The position analysis of a kinematic chain requires the determination of the joint positions, the position of the centers of gravity, and the angles of the links with the horizontal axis. A planar
Chapter 3
Velocity and Acceleration Analysis
3.1 Introduction
The motion of a rigid body (RB) is dened when the position vector, velocity and acceleration of all points of the rigid body are dened as functions of time with respect to a xed reference frame
Chapter 6
Analytical Dynamics of Open Kinematic Chains
6.1 Generalized Coordinates and Constraints
Consider a system of N particles: cfw_S = cfw_P1 , P2 , . Pi . PN . The position vector of the ith particle in the Cartesian reference frame is ri = ri (xi
Appendix A
Programs of Chapter 2: Position Analysis
A.1 Slider-Crank (R-RRT) Mechanism
% A1 % Position analysis % R-RRT clear % clears all variables from the workspace clc % clears the command window and homes the cursor close all % closes all the open fi
Chapter 5
Direct Dynamics: NewtonEuler Equations of Motion
The NewtonEuler equations of motion for a rigid body in plane motion are mrC = F and ICzz = MC , or using the Cartesian components mxC = Fx , myC = Fy , and ICzz = MC . The forces and moments are
Chapter 4
Dynamic Force Analysis
4.1 Equation of Motion for General Planar Motion
The friction effects in the joints are assumed to be negligible. Figure 4.1 shows an arbitrary body with the total mass m. The body can be divided into n particles, the ith
Distributed Distributed load deflection load
MECH320-AUB Nasser-Eddin M., PhD
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We have already determined one of the four boundary conditions for this beam so it is already highlighted.
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The second two b