Determine the bending strain energy in the A-36 steel beam. I = 99.2 (106) mm4.
MCG3141 - Winter 2016
DGD 12
The pipe assembly is fixed at A. Determine the vertical displacement of end C
of the assembly. The pipe has an inner diameter of 40 mm and outer d

Biomechanics (MCG3141)
Winter 2016
Torsion
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
Torque = moment that tends to twist a member
about its longitudinal axis.
When a torque is applied to a circular shaft
made of a highly def

Biomechanics (MCG3141)
Fall 2016
Strain
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
Deformation is the change of shape and size of an object when a force is applied on it.
The behaviour of this deformation is a function of the

Biomechanics (MCG3141)
Fall 2016
Mechanical Properties of Materials
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
The strength of a material depends on its ability to sustain a load without undue
deformation or failure. The beha

Biomechanics (MCG3141)
Fall 2016
Stress
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
Mechanics of Materials study the relationship between the external loads applied to a
body and the stress and strain caused by the internal lo

Biomechanics (MCG3141)
Fall 2016
Energy Methods
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
Work of a Force:
A force does work when it undergoes a displacement dx in the same direction as
the force. The work by a force F is de

Biomechanics (MCG3141)
Fall 2016
Stress Transformation
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
A general state of stress at a point is represented by 6 independent normal and shear
stress components.
However, in practice,

Biomechanics (MCG3141)
Fall 2016
Axial Load
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
Saint-Venants principle states that both the localized deformation and stress which
occur within the regions of load application or at sup

Biomechanics (MCG3141)
Fall 2016
Deflection of Beams and
Buckling of Columns
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
Must often be limited in order to provide integrity and stability of a structure or
machine.
It is often

Biomechanics (MCG3141)
Fall 2016
Torsion
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
Torque = moment that tends to twist a member
about its longitudinal axis.
When a torque is applied to a circular shaft
made of a highly defor

Biomechanics (MCG3141)
Fall 2016
Bending
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
A beam is defined as a slender member that supports loading (e.g., bone). They
are classified as:
- Simply supported beam (pin at one end and

Biomechanics (MCG3141)
Fall 2016
Strain Transformation
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
A general state of strain acting around a selected point can be represented by:
- three components of normal strain x, y, z
- t

Biomechanics (MCG3141)
Winter 2016
Axial Load
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
Saint-Venants principle states that both the localized deformation and stress which
occur within the regions of load application or at s

Biomechanics (MCG3141)
Winter 2016
Mechanical Properties of Materials
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
The strength of a material depends on its ability to sustain a load without undue
deformation or failure. The be

Determine the elastic curve in terms of the x1 and x2 coordinates and the
deflection of end C of the overhang beam. EI is constant.
MCG3141 - Winter 2016
DGD 10
Determine the maximum force P that can be applied to the handle so that
the A-36 steel control

The curved pipe has an original radius of 2 ft. If it is heated nonuniformly, so that
the normal strain along its length is = 0.05 cos q, determine the increase in
length of the pipe.
MCG3141 - Winter 2016
DGD 2
The stressstrain diagram for a
bone is show

The crimping tool is used to crimp the end of the wire E. If a force of 20 lb is
applied to the handles, determine the average shear stress in pins A and B. The
pin is subjected to double shear and has a diameter of 0.2 in. Only a vertical
force is exerte

If the 75-kg man stands in the position shown, determine the state of stress at
point A on the cross section of the plank at section aa. The center of gravity
of the man is at G. Assume that the contact point at C is smooth.
MCG3141 - Winter 2016
DGD 7
If

Members ABC and BD of the counter
chair are rigidly connected at B and the
smooth collar at D is allowed to move
freely along the vertical slot. Draw the
shear and moment diagrams for member
ABC.
MCG3141 - Winter 2016
DGD 5
The chair is supported by an ar

A paper tube is formed by rolling a paper strip in a spiral and then gluing the
edges together as shown. Determine the shear stress acting along the seam,
which is at 30from the vertical, when the tube is subjected to an axial force of
10 N. The paper is

The 60-mm-diameter solid shaft is subjected to the distributed and
concentrated torsional loadings shown. Determine the absolute maximum
and minimum shear stresses on the outer surface of the shaft and specify
their locations, measured from the fixed end

A strain gauge is mounted on the 1-in.-diameter A-36 steel shaft in
the manner shown. When the shaft is rotating with an angular velocity
of = 1760 rev/min, the reading on the strain gauge is = 800(10-6).
Determine the power output of the motor. Assume th

The post is made of Douglas fir and has
a diameter of 60 mm. If it is subjected to
the load of 20 kN and the soil provides
a frictional resistance that is uniformly
distributed along its sides of w = 4 kN/m
determine the force F at its bottom
needed for e

Biomechanics (MCG3141)
Winter 2016
Strain
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
Deformation is the change of shape and size of an object when a force is applied on it.
The behaviour of this deformation is a function of t

Biomechanics (MCG3141)
Winter 2016
Stress
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
Mechanics of Materials study the relationship between the external loads applied to a
body and the stress and strain caused by the internal

Biomechanics (MCG3141)
Fall 2016
Transverse Shear
Dr. Isabelle Catelas
icatelas@uottawa.ca
RGN, Room #1317
Phone: Ext 8589
In general, subjecting a beam to a load leads to a shear and a moment. In such a case,
the beam experiences two types of shear stres