Fatigue 5 A cylindrical pressure vessel 0.5m. in radius, with a wall thickness of t = 5 mm., is cyclically pressurized to pmax and then depressurized to p = 0. If U = 670 MPa and e = 350 MPa, use the
Mech 12 Computational Project #1, Spring 2013
(Due February 13, 2013)
In this assignment, you will develop a 1-D bar element finite element program
using MATLAB; your program will be able to compute a
Lehigh University - Department of Mechanical Engineering and Mechanics
MECH 12 Strength of Materials
Spring 2013
Mon., Wed., & Fri. (Multiple Sections meet at different times)
Instructors: Best, Forou
Cylinder 4
A long (ie, plane strain condition) cylinder with a = 75 mm. and b = 100 mm. is
subjected to an external pressure po and zero internal pressure. Given that Y = 250 MPa,
use the von Mises cr
Cylinder 1
Consider a long cylinder (ie, plane strain case) with a = 10mm., b = 30mm., pi = 150
MPa, and po = 75 MPa. The elastic constants are E = 200 GPa and = 0.30. Find the
radial displacement ur
Fracture 1
In a compact tension test (case 13, table 1) for which the specimen dimensions are
H = 6.00 in., W = 5.00 in., B = 2.00 in., and a = 1.00 in., a material fractures at a load of
Pcr = 45,000
Mech 12 Project 2b (60% of Project 2 grade)
A team project
Due: April 26, 2013
Using the Autodesk Simulation finite element code, you are to design a safe, stiff, light-weight
bridge structure with a
Mech 12 Computational Project 2a (40% of Project 2 grade)
Due: April 19, 2013
One of the goals of a Lehigh University Engineering education is to graduate individuals
who possess, the broad educa
Thick-Walled Cylinders
We are interested in determining the
stress and deformation field in the thick-walled
o
cylinder shown at right, with inner radius a,
outer radius b and loaded with an internal
The Finite Element Method for One-Dimensional Bars
Introduction
The finite element method was first developed in the 1960s in order to analyze stresses and
deformations in complex components for which
Bending of Composite Beams
A composite beam, by definition, is a beam composed of two or more different materials
that are bonded together in some fashion. By cleverly combining the constituent materi
Mech 12 — Hourly #2 (Fall 2013) ‘ 8 November 2013
Name: .30 W. «m 0 o
en
The thin walled cylindrical pressure vessel shown has a 280 mm inner
diameter and a 10 mm wall thickness. Knowing that the ta
MECH 12 STRENGTH OF MATERIALS SPRING l2
1. The built—up wooden beam shown is subjected to a vertical shear of 8 kN. If the maximum
shear force that these nails can carry is 550 N, What is the maximum
Mech 12—Hourly #1 (Fall 2014) 26 September 2014
Name: (10 pts/ problem)
For the 2D truss structure shown,
element numbers are in boxes and
node numbers have nothing
around them. Assume that all
memb
The Finite Element Method for Two-Dimensional Trusses
To develop a stiffness method for two-dimensional trusses, we proceed as we did in the
case of one-dimensional bar structures. We first develop an
Bending of Composite Beams
A composite beam, by definition, is a beam composed of two or more different materials
that are bonded together in some fashion. By cleverly combining the constituent materi