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 Goodman criterion to estimate an upper value of pmax, b
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 and produce as output the
displacement and the stress as
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, Forouraghi, Ozturk
TAs: E. Yaltintas & M.Xu
Textbook: Beer,
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 criterion to determine the value of po required to initia
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 at the inner and outer radii.
Solution:
From the notes,
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 lbs. Determine the fracture toughness of the material.
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 100 m span and a width of 23 m. Design constraints requ
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 education necessary to understand the impact of engineering
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
b
pressure pi and an external pressure po. This
problem
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 existing methods of analysis were almost totally
inade
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 materials,
composite beams are able to achieve properties tha
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 tank contains
compressed air under a pressure of 13 MPa,
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 longitudinal spacing in
mm for the nails located at A?
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
members have the same product, _
AE = 150 MN and length L =
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 expression for the element stiffness
matrix. For any p
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 materials,
composite beams are able to achieve properties tha