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WorksheetsMechanics of Materials
Total questions: 100
Worksheet time: 50mins
Varignon's theorem is used to determine _______.
location of centroid
moment of inertia
mass moment of inertia
moment of area
What is the study of motion with reference to the force which causes the motion?
Statics
Dynamics
Kinetics
Kinematics
An impulse causes an object's momentum to:
change
decrease
increase
remain constant/be conserved
Momentum is a property related to the object's _____.
motion and mass
mass and acceleration
motion and velocity
weight and velocity
Centrifugal force is ______.
directly proportional to the radius of the curvature
directly proportional to the square of the tangential velocity
inversely proportional to the square of the tangential velocity
inversely proportional to the radius of the curvature
A measure of the resistance of a body it offers to any change in its angular velocity, determined by the mass and distribution of its mass about the axis of rotation is known as:
moment of inertia
friction
torsion
angular acceleration
Momentum is the product of mass and _____.
acceleration
velocity
force
time
The moment of inertia of a plane figure:
increases as the distance of the axis moves farther from the centroid
is maximum at the centroidal axis
is zero at the centroidal axis
decreases as the distance of the axis moves farther from the centroid
To maximize the horizontal range of the projectile, which of the following applies?
Maximize the velocity
Maximize the angle of elevation and velocity
Maximize the angle of elevation
The tangent function of the angle of trajectory must be equal to 1
Moment of inertia of any plane figure is expressed in units of length to the _______.
first power
second power
third power
fourth power
A branch of physical science which deals with state of rest or motion of bodies under the action of forces.
Mechanics
Kinetics
Kinematics
Statics
A branch of mechanics which deals with bodies at rest.
Statics
Dynamics
Kinetics
Kinematics
The branch of mechanics which deals with bodies in motion is known as ______.
Statics
Dynamics
Kinetics
Kinematics
The action of a force is characterized by:
its magnitude
the direction of its action
point of application
all of the above
For a system to be in equilibrium:
the force polygon must close
all forces must be concurrent; if not acting parallel
it must satisfy the 3 static equations
all of the above
A pair of forces equal in magnitude, opposite in direction, and not in the same line is called ______.
moment
torque
couple
all of the above
The ______ exerted by a force on a body is the measure of its effectiveness in turning the body about a certain pivot.
couple
torque
moment arm
all of the above
A body is said to be in "rotational equilibrium" when:
no net torque acts on it
no net force acts on it
its vector sum of the forces is zero
the forces acting on the body are non-concurrent
A couple consists of two forces, _____ in magnitude, parallel and oppositely directed.
directly proportional
equal
unequal
inversely proportional
The _______ of the body or system is the point about with the product of the mass and moment arm sums up to zero.
center of gravity
center of mass
centroid
all of the above
What do you call the point through which the resultant of the distributed gravity force passes regardless of the orientation of the body in space?
Center of inertia
Center of mass
Centerpoint
Center of gravity
If an object exerts a normal force on a surface, then its normal force is:
equal to the weight of the object
less than the frictional force
parallel to the surface
perpendicular to the surface
Whenever the surfaces of two bodies are in contact, there will be a limiting amount of resistance to sliding between them. This is known as _______.
friction
coefficient of friction
angle of friction
coefficient of sliding
What is the moment of inertia of a triangle with respect to the base b?
(bh^3)/12
(bh^3)/6
(bh^3)/36
(bh^3)/3
The moment of inertia of a triangle with respect to the base is ____ times its moment inertia with respect to its centroidal axis.
2
3
4
5
What is the moment of inertia of a circle of radius r?
(πr^4)/16
(πr^4)/2
(πr^4)/64
(πr^4)/4
The moment of inertia of the circle with respect to its tangent is ____ times its centroidal moment of inertia
2
3
4
5
The moment of inertia of a rectangle with respect to the base is ____ times its moment of inertia with respect to the centroid
2
3
4
5
What is the mass moment of inertia of a sphere of mass m and radius r?
21mr2
41mr2
31mr2
52mr2
Given a cylinder of radius r, altitude h and mass m. What is its mass moment of inertia?
21mr2
41mr2
31mr2
52mr2
A structure is called ______ if at least one of its individual member is a multiforce member.
truss
frame
three-hinged arch
bridge
What is another term of moment of inertia?
Moment of area
Moment of mass
Second moment of area
All of the above
The diagram of an isolated body with the representation of all external forces acting on it is called ______.
maxwell diagram
stress-strain diagram
free body diagram
shear and moment diagram
What do you call a framework composed of members joined at their ends to form a rigid structure?
Machine
Truss
Joist
Purlin
"The moment of the resultant of two concurrent forces with respect to a center of their planes is equal to the algebraic sum of the moments of the components with respect to the same center". This statement is otherwise known as ______.
Law of reaction
Varignon's theorem
Mass moment of inertia
Law of inertia
The condition exists in structures where the reactive forces exceed the number of independent equations for equilibrium. What do you call such condition?
Statically determinate
Statically indeterminate
Static equilibrium
None of the above
Two lengths of a steel wire are used to support a chandelier of weight W. The tension in the wire must:
each be W/2
each be W
have a vector sum of magnitude W
have a vector sum of magnitude > W
The built-in or fixed support is capable of supporting which of the following loads?
An axial load
A transverse load
A bending moment
All of the above
Which of the following BEST describes d'Alembert's principle?
F=ma
Stress is directly proportional to strain
First law of motion
F=kx
Which of the following is closely related to d'Alembert's theorem?
Newton's first law of motion
Newton's second law of motion
Newton's third law of motion
Bernoulli's theorem
What do you call the force on a rigid body caused by other bodies?
Internal force
External force
Vector
Natural force
What do you call the force which holds parts of the rigid body together?
Internal force
External force
Natural force
Concentrated force
The line of action of the moment vector is normal to the plane containing the force vector and the position vector. What is used to determine the sense or direction of the moment?
Varignon's theorem
Left-hand rule
Right-hand rule
Maxwell's diagram
If a force, F is moved a distance d from the original point of application, a couple, M, equal to Fd must be added to counteract the induced couple. What is the term used to describe this combination of moved force and the couple?
Three-moment system
Force-couple system
Indeterminate balance system
Linear force system
How many reactions are there in a fixed or built-in support?
1
2
3
4
All supports have only one reaction except:
Roller
Link
Frictionless guide
Pin connection
The ratio of the applied force lever arm to the load lever arm is known as ______.
Efficiency
Mechanical advantage
Determinancy
Indeterminancy
What is the term used to describe the process of determining member forces by considering loads one at a time?
Superposition
Traverse loading
Cut-and-sum method
Method of joints
What is used to determine the reactions of a continuous beam?
Method of section
Method of joints
Superposition method
Three-moment equation
All supports have two reactions except:
Cable
Frictionless hinge
Pin connection
Rough surface
_______ is the change in shape of any materials when subjected to the action of a force.
Moment of inertia
Modulus of elasticity
Strain
Stress
Which of the following forces can a roller support hold?
Only horizontal forces
Both horizontal and vertical forces simultaneously
Only vertical forces
Either vertical or horizontal forces but not both
Which of the following laws expressed relation between stress and strain?
Poisson's law
Newton's law
Young's law
Hooke's law
What do you call the inelastic (plastic) failure of the beam?
Moment
Rotation
Buckling
Crippling
What loading occurs when the load is not applied through the centroid?
Axial loading
Local loading
Neutral loading
Eccentric loading
Which of the following stresses has an area perpendicular to the force?
Normal stress
Shear stress
Flexural stress
Torsional stress
Which of the following type of loadings does fatigue occurs?
Plane load
Static load
Moving load
Repeated load
It is a quantity which measures the resistance of the mass to being revolved about the line.
Modulus of elasticity
Strain
Stress
Moment of inertia
What do you call an overload condition that occurs near large concentrated loads?
Web crippling
Local buckling
Vertical buckling
Lateral buckling
What do you call the relative stiffness when more than one spring or resisting member shares the load?
Volumetric expansion
Rigidities
Stiffness
Shear modulus
Which of the following moment occurs where the shear is zero?
Statistical moment
One-way moment
Resisting moment
Maximum moment
Which one will occur whenever there is a discontinuity or non-uniformity in an object?
Stress riser
Stress concentrations
Principal stresses
Combined stresses
Any pair of equal, opposite and parallel forces constitutes which of the following?
Couple
Torque
Moment
Dead load
Which of the following forces can a pinned support hold?
Only horizontal forces
Both horizontal and vertical forces simultaneously
Only vertical forces
Either vertical or horizontal forces but not both
What is the property of a body that tends to return to its original size or shape after a deformation and when the deforming forces have been removed?
Elasticity
Malleability
Ductility
Plasticity
For any point in a loaded specimen, a plane can be found where the shear stress is zero. How do you call the normal stresses associated with this plane?
Combined stresses
Principal stresses
Extreme stresses
Loading stresses
Which of the following refers to the number of reactions or members that would have to be removed in order to make the structure statically determinate?
Degree of accuracy
Degree of indeterminacy
Degree of rigidity
Degree of structure
When all forces are acting on the same point, the force system is known as _______.
Concurrent force system
Collinear force system
Coplanar force system
Parallel force system
The change in length per degree rise in temperature.
Volume expansivity
Ideal gas temperature
Linear expansivity
Temperature scale
What do you call the stress beyond which the material will not return to its original shape when unloaded but will retain a permanent deformation?
Yield strength
Yield limit
Elastic limit
Proportional limit
Which of the following refers to the amount of force required to cause a unit of deformation?
Rigidity
Modulus
Strain
Stiffness
What do you call the greatest stress which the material is capable of withstanding without a deviation from acceptable stress to strain?
Proportional limit
Yield strength
Elastic limit
Ultimate strength
Which of the following theorems stated on how the total moment is derived from a number of forces acting simultaneously at a point?
Varignon's Theorem
Maxwell's Theorem
Hooke's Law
Superposition Theorem
Which of the following is a simple three-dimensional truss which consists of three axial members?
Tripod
Chords
End posts
Panels
What is the sum of the strains in the three coordinate directions?
Strain
Stress
Poisson's ratio
Dilation
Which of the following refers to the stress at failure?
Working stress
Allowable stress
Rupture strength
Ultimate strength
If a load is applied through the centroid of a tension or compression member's section, what type of loading is it?
Local loading
Neutral loading
Eccentric loading
Axial loading
Which of the following refers to the ratio of the unit lateral deformation to the unit longitudinal deformation?
Mohr's ratio
Young's ratio
Poisson ratio
Slenderness ratio
What is the ratio of stress to strain below the proportional limit?
Poisson ratio
Young's modulus
Hooke's consant
Modulus of rigidity
In the linear elastic region of the stress-strain diagram, what do you call the slope of the curve?
Elastic limit
Modulus of elasticity
Ultimate strength
Proportional limit
In bending of a rectangular beam due to axial loading, where is the location of maximum shear stress?
At the top edge
At the bottom edge
At the neutral axis
At the location between the top edge and the neutral axis
What refers to the elongation which is expressed on a fractional or percentage basis?
Normal stress
Strain
Thermal elongation
Modulus of rigidity
What is the highest ordinate of the stress-strain diagram?
Rapture strength
Ultimate strength
Yield strength
Elastic strength
Which of the following beams has two or more spans (i.e, three or more supports) and is statistically indeterminate?
Continuous beam
Cantilever beam
Propped beam
Fixed-end beam
A specimen is subjected to a load. When the load is removed, the strain disappears. Which of the following statements is correct?
The specimen is plastic
The specimen is elastic
The specimen has a high modulus of elasticity
The specimen is ductile
What do you call a simple mechanical machine with the ability to increase an applied force?
Bearing
Shaft
Lever
Spring
What is another term for modulus of elasticity?
Bulk modulus
Shear strain
Constant of elongation
Young's moduluss
The twisting moment of a shaft is _____ directly proportional to horsepower and _____ proportional to the speed.
Inversely, inversely
directly, directly
inversely, directly
directly, inversely
What do you call a set of pin-connected axial members?
Cable end
Structural cell
Truss
Trestle
Which of the following is true about a beam supported at both ends and carrying a uniformly distributed load?
It has a uniform shear throughout the length of the beam
It has its maximum shear at the supports
It has its maximum shear at the center of the beam
It has its maximum bending moment at the supports
What force system combines the non-concurrent, non-parallel and non-coplanar forces?
General three-dimensional system
Polar force system
Space force system
Parallel force system
Which of the choices below refers to an overload condition that occurs when a long, unsupported members rolls out of its normal plane?
Web crippling
Local buckling
Vertical buckling
Lateral buckling
Which of the following factors are used to account for the non-uniform stress distribution?
Stress concentration factors
Principal stress factors
Combined stress factors
Mohr's factor
For shear stress, what is the constant of proportionality?
Shark modulus
Shape modulus
Shout modulus
Shear modulus
Which of the following stresses has an area parallel to the force?
Normal stress
Shear stress
Flexural stress
Longitudinal stress
If an object is continuously loaded over a portion of its length, it is subjected to which type of loading?
Dead load
Concentrated load
Distributed load
Moving load
What is the ratio of the ultimate stress to the allowable stress?
Yield factor
Safety stress
Factor of safety
Design factor
The sum of the individual forces in a linear force system is called:
Total force
Axial force
Concentrated force
Equivalent resultant force
It is the internal resisting moment of a beam. It is opposite in the sense to the bending moment but of the same magnitude.
Strain
Elastic limit
Moment of resistance
Modulus of elasticity
To prevent translation while permitting rotation, a structure must be added with:
Rivet
Bearing
Hinge
Roller
