Finals Flashcards
This will determine the strength of a material on its ability to sustain a load
without due deformation or failure.
Torsion
A device that is used to measure changes in the length of an object
Extensometer
When an external torque is applied to a shaft, it creates a corresponding
internal torque within the shaft.
Torsional shearing
stress
It is a moment that tends to twist a member about its longitudinal axis.
Torque
Defined as the work performed per unit of time.
Power
Force parallel to the area resisting the force.
Shear Stress
The angle θ through which the bar length L will twist.
Angle of Twist
In most cases, load are perpendicular to the axis of the beam.
True HAHAHA
Members that are slender and support loadings that are applied
perpendicular to their longitudinal axis.
Beams
Usually long, straight prismatic members.
Beams
Transverse loading causes only what?
Bending (M) and Shear
(V) in beam
It has one or both of its ends freely extended over the supports.
Overhanging Beams
Pinned at one end and roller supported at the other.
Simply supported beam
The transverse loading of beam may consist of ______ & _______
Concentrated and
Distributed Loads
Fixed at one end and free at the other.
Cantilever beam
6 types of Beams
Simply supported beam
Overhanging beam
Cantilever beam
Continuous beam
Beam fixed at one end
and simply supported
at the other end
Fixed Beam
The force that acts parallel to the cross-section of a structural element.
Obtained by summing forces perpendicular to the beam’s axis.
Shear force
The bending moment at any given point of a beam is positive when the
external forces (loads and reactions) acting on the beam tend to bend the
beam.
Determinations of
shear force and bending
moment
The shear at any given point of a beam is positive when the external forces
(loads and reactions) acting on the beam tend to shear off the beam.
Determinations of
shear force and bending
moment
The shear at any given point of a beam is ________ when the external forces
(loads and reactions) acting on the beam tend to shear off the beam.
positive
What are the external Forces
Loads and Reactions
Engineers frequently make approximations or simplifications of the
loadings on a body in order that the stress produced in a structural member
or mechanical element can be analyzed in a single plane.
Plane Stress
The general state of stress at a point is characterized by six independent
normal and shear stress components, which act on the faces of an element
of material located at the point.
Plane Stress
When this is the case, the material is said to be subjected to plane stress.
Example: axial bars, beams in bending and circular members in torsion
Bending moment
Obtained by summing moments about the sectioned end of the segment.
Bending moment
The moment that occurs when an external force is applied to the element
causing it to bend.
Bending moment
These stresses act on principal planes where the shear stresses are zero.
Principal stress
These stresses act on principal planes where the shear stresses are ______.
zero
When a structural element is subjected to several types of loads acting
simultaneously, say bending and torsion.
Principal stress
True or false
The maximum shear stress is equal to one half the difference of the
principal stresses
True
True or False
Planes of maximum shear stress occur at 45° to the principal planes.
True
Planes of maximum shear stress occur at 45° to the _______.
principal planes
Planes of maximum shear stress occur at ______ to the principal planes.
45°
True or False
Shear stresses are zero on principal planes.
True
True or False
Principal stresses occur on mutually perpendicular planes.
True
___________ occur on mutually perpendicular planes.
Principal stresses
The displacement in the y direction of a cantilever beam with a
concentrated load acting upward at the free end.
Deflection “v”
A graphical representation of the transformation equations for plane stress
problems. It is useful in visualizing the relationships between normal and
shear stresses acting on a stress element at any desired orientation.
Mohr’s circle
A graphical representation of the transformation equations for plane stress
problems.
Mohr’s circle
It is useful in visualizing the relationships between normal and
shear stresses acting on a stress element at any desired orientation.
Mohr’s circle
Mohr’s circle is useful in visualizing the relationships between ____&______ acting on a stress element at any desired orientation.
normal and
shear stresses
It is the angle between the x axis and the tangent to the deflection curve.
Angle of rotation/Slope
The slope and deflection of beam caused by several different loads acting
simultaneously can be found by superimposing the slopes and deflections
caused by the loads acting separately.
Method of
Superposition
The slope and deflection of beam caused by several different loads acting
simultaneously can be found by ______ the slopes and deflections
caused by the loads acting separately.
superimposing
This method entails obtaining the slope θ and the deflection v of the beam.
Method of successive
integration
The principle of superposition is valid under the following conditions:
These requirements ensure that the differential equations of the deflection
curve are ______.
linear
True or false
The principle of superposition is valid under the following conditions:
Hooke’s law holds for the material.
True
True or false
The principle of superposition is valid under the following conditions:
The deflection and rotations are small.
True
True or false
The principle of superposition is valid under the following conditions:
The presence of the deflection does not alter the actions of applied
loads.
True
The principle of superposition is valid under the following conditions:
(3)
Hooke’s law holds for the material.
The deflection and rotations are small.
The presence of the deflection does not alter the actions of applied
loads.
An angle in radians made by the tangent of the section with the original axis
of the beam.
Slope
It is the axis of a deflected beam.
Elastic curve
The degree to which a part of a long structural element (such as beam) is
deformed laterally under a load.
Deflection
L shown in various parts in
figure is called ‘______’.
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