Mech202 Tutorial 8
Department of Mechanical Engineering
27/10/2006
Hong Kong University of Science & Technology
1
Part 1. Review of section 5.1~5.2
Torsion of noncircular members
Circular members: the cross section remains plane
due to the axisymmetry
Squ
Mech202 Tutorial 12
Department of Mechanical Engineering
24/11/2006
Hong Kong University of Science & Technology
1
Part 1. Review of chapter 8
Strain energy
Strain energy in terms of displacement
B
A
0
U = fdu =
k2
kudu =
2
Complementary strain energy in
Mech202 Tutorial 11
Department of Mechanical Engineering
17/11/2006
Hong Kong University of Science & Technology
1
Part 1. Review of chapter 7
Plastic collapse and limit analysis
Bars with axial loading
Collapse load
three bars all reach maximum force
Mech202 Tutorial 9
Department of Mechanical Engineering
3/11/2006
Hong Kong University of Science & Technology
1
Part 1. Review of section 5.3
Unsymmetric loading of thin-walled members,
shear center
Thin-walled members with one plane of symmetry
Loading
Mech202 Tutorial 10
Department of Mechanical Engineering
10/11/2006
Hong Kong University of Science & Technology
1
Part 1. Review of chapter 6
Stress in curved beams
Radius of neutral surface - distance
from the center of curvature C to the
neutral surfac
MECH 202 - Mechanics of Solid II (Fall 2002-2003)
Course Description: Bi-axial stress state and failure criteria; thick-walled
cylinders and spinning disks; bending of plates; elastic foundations;
unsymmetric bending and torsion; curved beams; frame analy
MECH 202 - Mechanics of Solid II (Fall 2010-2011)
Course Description: Bi-axial stress state and failure criteria; thick-walled
cylinders and spinning disks; bending of plates; elastic foundations;
unsymmetric bending and torsion; curved beams; frame analy
MECH202 Homework 7 Solution
1. For a system as shown in figure 2, two solid bars have the same length of 1m. The upper bar weights
10N, the lower bar weights 20N. The force inclined at 30 degree with horizontal is 5N. Find angles using
Castiglianos first
MECH202 Homework 6 Solution (revised)
1. Each bar of the truss shown in figure 1 yields at an axial load of 24kN.
(a) Determine the value of initial yielding load Py (that is, the load to cause the first bar in the truss to yield)
and collapse load P (tha
MECH202 Homework 5 Solution
Questions:
1. A hollow member having the cross section shown in figure 1 is to be formed from a sheet metal of 2 mm
thickness. Knowing that an 8.5Nm torque will be applied to the member, determine the largest
dimension d that c
MECH202 Homework 3 Solution
Questions:
1. Determine the maximum stress r in the circular plate as shown in Figure 1 if uniformly distributed
edge moment Ma is large enough to make center deflection 40% of what the deflection would be when
Ma were absent.
HOMEWORK I
Q1.
A rectangular metal bar blocked at both cross sections on the flat smooth table,
as shown in Fig 1, is uniformly heated by temperature changeT . Assume the
thermal expansion coefficient of the metal is , the Youngs modulus is E, the length,
Chapter Eight
Energy Method
8.1 Introduction
8.2 Strain energy expressions
8.3 Principal of stationary potential energy; several degrees of
freedom - Castiglianos first theorem - Examples
8.4 Principal of stationary complementary energy -Castigliano;s sec
HOMEWORK I
Q1.
A rectangular metal bar blocked at both cross sections on the flat
smooth table, as shown in Fig 1, is uniformly heated by temperature
change T . Assume the thermal expansion coefficient of the metal is ,
the Youngs modulus is E, the length
MECH202 Homework 7
1. For a system as shown in Figure 1, two solid bars have the same length of 1m.
The upper bar weights 10N, the lower bar weights 20N. The horizontal force is
2N. Find angles using Castiglianos first theorem.
Figure 1
2. A simply suppor
CHAPTER SEVEN
PLASTIC COLLAPSE and LIMIT ANALYSIS
7.1 Introduction and bars with axial loading
7.2 Plastic action in bending and plastic hinges
7.3 Collapse loads in beams
Review and Summary
l Structural design under static load
(1) Elastic analysis - All
CHAPTER FOUR
ELASTIC FOUNDATIONS
* Bending of beams on elastic foundations and solutions
* Solution by superposition and Contact stress problems
4.1 Introduction and Foundation Models - Winkler
Foundation
4.2 Governing Equations For Uniform Straight Beams
CHAPTER TWO
THICK-WALLED CYLINDERS and
SPINNING DISKS
* Important concepts and equations in MECH 202
* Calculation of mechanical and thermal stresses in thickwalled cylinders and disks
1.1 The Theory of Elasticity (MECH 202) Method -Equilibrium Equations
Part I
1.
x 0
x
2.
1
x v y 1 0 v 0
E
E
A
Po b 2
r 2
a b2
a2
1 2
r
Po b 2
a2 b2
a2
1 2
r
2
2
2
2
1
r 1 Po b 2 1 a 2 Po b 2 1 a 2
2
r a2 b r
2
2 a b
1 Po a 2 b 2
2 a2 b2
1
1
1 r 2 1 r 2
Po a 2 b 2 1
a2 b2 r 2
1
2
r
3.
A
By note of chapt
HOMEWORK I
Q1. A rectangular metal bar blocked at both cross sections on the flat
smooth table, as shown in Fig 1, is uniformly heated by temperature
change T . Assume the thermal expansion coefficient of the metal is ,
the Youngs modulus is E, the length
HOMEWORK I
Q1. A rectangular metal bar b locked at both cross sections on the flat
s mooth table, as shown in Fig 1, is uniformly heated by temperature
change T . Assume the thermal expansion coefficient of the metal is ,
the Youngs modulus is E, the leng
HOMEWORK I
Q1.
A rectangular metal bar blocked at both cross sections on the flat
smooth table, as shown in Fig 1, is uniformly heated by temperature
change T . Assume the thermal expansion coefficient of the metal is ,
the Youngs modulus is E, the length