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Structural Member Properties

Total questions: 90

Worksheet time: 3hrs 5mins

Name
Class
Date
1.

What is a centroid?

a)
The centroid is the perimeter of a geometric shape.
b)
The centroid is the angle formed by the sides of a geometric shape.
c)
The centroid is the center point of a geometric shape, calculated as the average of its points.
d)
The centroid is the largest point of a geometric shape.
2.

What is the centroid of the following object?

a)

X=2.5 in, Y=2.5 in

b)

X=5 in, Y=5 in

c)

X=1.06 in, Y=2.5 in

d)

X=1.67 in, Y=1.67 in

3.
The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
4.

What is the centroid of the following object?

a)

X=0.85 in, Y=2 in

b)

X=2 in, Y=0.85 in

c)

X=2 in, Y=1.7 in

d)

X=1.7 in, Y=2 in

5.

If given a complex shape how do you find the true centroid?

a)

Break it into smaller shapes and add the centroid locations together

b)

Break it into smaller shapes and average the centroid locations

c)

Break it into large shapes and subtract the smallest from the largest

d)

Multiply the centroid locations with the shape area, add the products up, divide by total shape area

6.

If you have a semicircle with a radius of 6.72 cm, where is it's centroid located? (length in x, height in y)

a)

x = 6.72 cm, y = 2.85 cm

b)

x = 3.36 cm, y = 2.85 cm

c)

x = 13.44 cm, y = 0.62 cm

d)

x = 3.36 cm, y = 0.57 cm

7.

What is the centroid representing?

a)

The object's center of gravity.

b)

The object's dimensions.

c)

The object's X and Y.

d)

The object's shape.

8.
When you draw the medians of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Perpendicular Bisectors
d)
Altitude
9.

Inertia is a force

a)

True

b)

False

10.

Suppose that an astronaut throws a baseball in outer space at a location far from significant influences of gravity and air resistance. One would expect that the baseball would ____.

a)

eventually stop since all objects ultimately "lose their steam"

b)

eventually stop as its inertia slowly becomes used up

c)

continue in motion with the same speed and direction

d)

either a, b, or c -- depending on whether the astronaut continues to push it

11.

Inertia is a force that keeps stationary objects at rest and moving objects in motion at a constant velocity.

a)

True

b)

False

12.

When all individual forces acting on an object are balanced, it is the natural tendency of an object to _____. List all that apply in alphabetical order with no spaces between letters.

a)

maintain its state of motion

b)

eventually stop

c)

accelerate

d)

either speed up, slow down or keep the same speed

e)

keep its velocity constant (either at a zero or non-zero value)

13.

The law of inertia (Newton's first law) applies _____.

a)

to moving objects only

b)

only to objects that are not moving

c)

to both moving and nonmoving objects

14.

Inertia refers to _____

a)

the tendency of moving objects to remain in motion

b)

the force which keeps moving objects in motion with a constant velocity

c)

the force that keeps stationary objects at rest

d)

the tendency of stationary objects to remain at rest

15.

Inertia depends on ______

a)

Velocity

b)

Speed

c)

Distance

d)

Mass

16.

All objects have inertia

a)

True

b)

False

17.

List the objects in order from least to greatest inertia.

a)

CDBA

b)

ABCD

c)

BCDA

d)

CBAD

18.

More mass = More inertia

a)

True

b)

False

19.

Rank these objects in order of their inertia, from greatest to least.

a)

ABCD

b)

DABC

c)

DCBA

d)

CBAD

20.
a force that opposes motion between any surfaces that are touching
a)
velocity
b)
friction
c)
inertia
d)
position
21.

Larger masses have a

a)

weaker gravitational force

b)

stronger gravitational force

c)

equal gravitational force

22.

Holds the Earth and other planets in orbit around the Sun.

a)

The Sun's gravitational force

b)

The moon's gravitational force

c)

The Earth's gravitational force

d)

The lack of gravitational force

23.

Objects with more mass are..

a)

harder to speed up or slow down

b)

easier to speed up or slow down

24.

Objects with less mass are...

a)

easier to speed up or slow down.

b)

harder to speed up or slow down.

25.

Which has the MOST inertia?

a)
b)
c)
d)
26.

Who would cause more damage when leaping over a small building?

a)
b)
c)
d)
27.

Which of these has the MOST inertia?

a)
b)
c)
d)
28.

Which character would have the LEAST inertia?

a)
b)
c)
d)
29.

You are throwing a ball to your friend across the room. Which ball will take more force to throw?

a)

They are the same size, so they will take the same force.

b)

The bowling ball has a greater mass, so it will take more force.

c)

The basketball has a smaller mass, so it will take more force.

d)

T

30.

A car runs into a wall. What will happen to the people in the car?

a)

They will be pushed backwards by the force of the wall.

b)

They will be thrown forward because of the force of the car.

c)

They will keep moving forward until they hit their seatbelt or the dashboard.

d)

They will be pushed in all directions equally.

31.

The ratio of the increment of some specified form of stress to the increment of some specified form of strain. Also known as coefficient of elasticity, elasticity modulus, elastic modulus:

a)

Centroid Principles

b)

Moment of Inertia

c)

Modulus of Elasticity

d)

Beam Deflection

32.

What is the moment of inertia for the following structural member?

a)

632.81 in4632.81\ in^4

b)

118.65 in4118.65\ in^4

c)

52.73 in452.73\ in^4

d)

2.10 in42.10\ in^4

33.

The joists moment of inertia is?

a)

594.44 in4594.44\ in^4  

b)

48.52 in448.52\ in^4  

c)

1.60 in41.60\ in^4  

d)

19.65 in419.65\ in^4  

34.

What units is Moment of Inertia measured in?

a)

in4

b)

psi

c)

in2

d)

lbf

35.

What does the Modulus of Elasticity describe?

a)

An objects stiffness based on its shape

b)

An objects stiffness based on its chemical properties

c)

An objects rotation because of inertia

d)

An objects rotation because of force

36.

What units is Modulus of Elasticity measured in?

a)

in4

b)

in2

c)

psi

d)

lbf

37.

Modulus of elasticity is the ratio of _________.

a)

stress to constant

b)

strain to constant

c)

strain to stress

d)

stress to strain

38.

The modulus of elasticity corresponding to change in length is called as ________.

a)

Young's modulus

b)

Bulk modulus

c)

Modulus of rigidity

d)

Modulus of length

39.

We can walk because of the (a)   between our feet and ground.

40.

What's Equation for find stress?

a)

σ = F+A

b)

σ = A/F

c)

σ = F/A

d)

σ = FA

41.

What's equation of strain?

a)

ε = ΔL+L0

b)

ε = ΔL-L0

c)

ε = ΔL⋅L0

d)

ε = ΔL/L0

42.

Young's modulus is property of

a)

solids

b)

solids and liquids

c)

solids or liquids

d)

gases

43.

What is the centroid of the following object?

a)

X=0.85 in, Y=2 in

b)

X=2 in, Y=0.85 in

c)

X=2 in, Y=1.7 in

d)

X=1.7 in, Y=2 in

44.

Σ =

a)

Sigma

b)

Delta

c)

epsilon

d)

Beta

45.

What is the centroid of the following object?

a)

X=0.375 in, Y=0.25 in

b)

X=0.25 in, Y=0.375 in

c)

X=0.75 in, Y=0.5 in

d)

X=0.25 in, Y=0.17 in

46.

Which measurement impacts an objects Moment of Inertia more heavily?

a)

Base

b)

Height

c)

Width

d)

Depth

47.

Which picture represents compression?

a)
b)
c)
d)
48.

Which type of force is represented in this image:

(a)  

49.

Why does a beam's orientation change it's Moment of Inertia? (Choose the BEST option)

a)

You are changing what the measured Height is, which heavily impacts Inertia Calculations

b)

You are changing the measured Base, which heavily impacts Inertia Calculations

c)

You are changing the beam's length, which heavily impacts Inertia Calculations

d)

Beam orientation doesn't matter, the Moment of Inertia stays the same.

50.

A pulling force acting in opposite directions

a)

Tension

b)

Torsion

c)

Shear

d)

Roofing

51.

A physical force that presses inward on an object

a)

Decking

b)

Dead Load

c)

Tension

d)

Compression

52.

Unmoving objects are being acted on by balanced forces.

a)

True

b)

False

53.

The inertia of a bowling ball is the same as the inertia of a golf ball.

a)

True

b)

False

54.

Which of the following statements about inertia is correct?

a)

A. The more mass a body has, the more inertia it has.

b)

B. The more mass a body has, the less inertia it has.

c)

C. The amount of inertia a body has is not dependent upon its mass.

d)

D. None of the above is correct.

55.

Which of the following statements about Newton’s Laws of Motion is NOT correct?

a)

A. Objects at rest stay at rest; objects in motion stay in motion.

b)

B. The force necessary to overcome an object’s inertia depends on its mass.

c)

C. When a force acts on an object, the only result is action in the direction of the force.

d)

D. All of the above.

56.

Which of the following statements about the mass and weight of an object is correct?

a)

A. The mass of an object is the same regardless of where it is measured.

b)

B. The weight of an object varies with the force with which gravity pulls on it.

c)

C. Both statements A and B are correct.

d)

D. Neither statement A nor B is correct.

57.
The tendency of an object to resist a change in motion is...
a)
inertia
b)
kinetic energy
c)
vector
d)
net force
58.
True of False?
An object's inertia is effected by its mass.
a)
False
b)
True
59.
What is the unit of measurement for force?
a)
kilograms
b)
newtons
c)
grams
d)
newt
60.
Friction is a force that acts in an ___________ direction of movement.
a)
similar
b)
opposite
c)
parallel
d)
west
61.

Speeding up and slowing down are changes in ______________.

a)

Acceleration

b)

Turning

62.

When a car stops suddenly, your body tends to keep moving ______________________.

a)

backwards

b)

forward

63.

Which one has the LEAST inertia?

a)
b)
c)
d)
64.

What direction is the car (the frame of reference) accelerating?

a)

Forward

b)

Backward

c)

Right

d)

Left

65.

Which of the objects listed below have the greatest inertia?

a)

A 500 kg object that is not moving.

b)

A 300 kg object that is not moving on the Moon.

c)

A 250 kg object moving at 25 m/s.

d)

A 700 kg object moving at 3 m/s.

66.

What is the inertia if the base is 4 cm and the height is 6 cm?

a)

48 cm^4

b)

72 cm^4

c)

63 cm^4

d)

24 cm^4

67.

What is the inertia if the base is 2 cm and the height is 3 cm?

a)

1.8 cm^4

b)

4.5 cm^4

c)

3.6 cm^4

d)

1.2 cm^4

68.

What is the inertia if the base is 10 in and the height is 8 in?

a)

427 in^4

b)

542 in^4

c)

520 in^4

d)

467 in^4

69.

What is the height if the base is 1 cm and the inertia is 0.0104 cm^4?

a)

0.5 cm

b)

1.0 cm

c)

0.0000011 cm

d)

0.0104 cm

70.

Correct formula for calculating beam deflection:

a)
b)
c)
d)
71.

1.627 in=175lb L348 1,250,000 lbin25.35 in4 1.627\ in=\frac{175lb\ L^3}{48\ 1,250,000\ \frac{lb}{in^2}5.35\ in^4\ }  

What is the length of the beam considering the following information?

a)

144 in

b)

96 in

c)

120 in

d)

156 in

72.

Δmax⁡=FL348 EI\Delta_{\max}=\frac{FL^3}{48\ EI}  



Rearrange the Beam Deflection Equation in terms of Modulus of Elasticity (E).

a)

E=Δmax⁡FL348IE=\frac{\Delta_{\max}FL^3}{48I}  

b)

E=48FL3Δmax⁡ IE=\frac{48FL^3}{\Delta_{\max}\ I}  

c)

E=48IΔmax⁡FL3E=\frac{48I\Delta_{\max}}{FL^3}  

d)

E=FL3Δmax⁡ 48 IE=\frac{FL^3}{\Delta_{\max}\ 48\ I}  

73.

What is the order of steps for finding the centroid for a complex shape?

a)

Divide into simple shapes.

b)

Find the Area of each shape.

And the total Area.

c)

Find the x and y centroid for each shape.

d)

e)

1)
2)
3)
4)
5)
74.

What is the order of steps for finding the centroid for this shape?

Step 1) Divide into ​ (a)   shapes

Step 2) Find the ​ area of each shape. And the ​ (b)  

Step 3) Find the ​ (c)   for each shape.

Step 4) Calculate the ​ (d)   of the centroid (x and y) for each shape.

Step 5) Calculate the ​ (e)   of the product of sum of products for area and centroid (x and y) and the total area

Choose from the below words

3
total area
centroid
product
quotient
75.

A mathematical property of a cross section (measured in inches) that gives important information about how that cross-sectional area is distributed about a centroidal axis:

a)

Centroid Principles

b)

Moment of Inertia

c)

Modulus of Elasticity

d)

Beam Deflection

76.

The ratio of the increment of some specified form of stress to the increment of some specified form of strain. Also known as coefficient of elasticity, elasticity modulus, elastic modulus:

a)

Centroid Principles

b)

Moment of Inertia

c)

Modulus of Elasticity

d)

Beam Deflection

77.

The planks moment of inertia is?

a)

594.44 in4594.44\ in^4  

b)

48.52 in448.52\ in^4  

c)

1.60 in41.60\ in^4  

d)

19.65 in419.65\ in^4  

78.

The formula to calculate the x-bar of this shape.

a)

B2\frac{B}{2}

b)

B3\frac{B}{3}

c)

4r3π\frac{4r}{3\pi}

d)

rr

79.

The formula to calculate the x-bar of this shape.

a)

B2\frac{B}{2}

b)

B3\frac{B}{3}

c)

4r3π\frac{4r}{3\pi}

d)

rr

80.

The formula to calculate the y-bar of this shape.

a)

B2\frac{B}{2}

b)

B3\frac{B}{3}

c)

4r3π\frac{4r}{3\pi}

d)

rr

81.

The formula to calculate the x-bar of this shape.

a)

B4\frac{B}{4}

b)

B3\frac{B}{3}

c)

4r3π\frac{4r}{3\pi}

d)

rr

82.

The elastic limit of specific steel is 200 x 106 Pa. Find the minimum radius a steel wire can have (in millimeters) to support a 7,500 N weight without exceeding its elastic limit.

a)

3.5 mm

b)

4.2 mm

c)

1.5 mm

d)

2.9 mm

e)

10.5 mm

83.

An aluminum sample with a diameter of 1.0 in has been tensile tested. Calculate the engineering stress for an applied load of 4020 lbs.

a)

5,118 psi

b)

3,660 psi

c)

7,960 psi

d)

1,990 psi

e)

2,542 psi

84.

Using the stress-strain curve above, what is the yield strength for aluminum?

a)

≈ 130 Mpa

b)

≈ 250 Mpa

c)

≈ 230 Mpa

d)

≈ 200 Mpa

85.

What does point A, B, D, E represent, respectively?

a)

A: Yield Strength, B: Modulus of Elasticity, D: Tensile Strength, E: Strength at Failure

b)

A: Modulus of Elasticity, B: Yield Strength, D: Tensile Strength, E: Strength at Failure

c)

A: Modulus of Elasticity, B: Yield Strength , D: Tensile Strength, E: Strength at Failure

d)

A: Yield Strength, B: Modulus of Elasticity, D: Strength at Failure, E: Tensile Strength

86.

Which of the following are items that do not affect the tensile strength of a member?

a)

cross-sectional area

b)

length

c)

material

d)

shape

e)

density

87.

Compare the maximum deflection distance for two boards made of yellow pine with a cross-section of 3 in. by 5 in.


If the two boards experience 1000 N point load at the center of the beam, but one board is 3 times longer, then which of the following is true?

a)

The longer board deflects 27 times more.

b)

The longer board deflects 9 times more.

c)

The longer board deflects 3 times more.

d)

The shorter board deflects 8 times more.

88.

Using the stress-strain curves provided, which of the two materials experiences more plastic deformation?

a)

Material #1

b)

Material #2

89.

Using the stress-strain curves provided above, which of the two materials shown is more brittle?

a)

Material #1

b)

Material #2

90.

Point C represents what on the stress-strain curve?

a)

Elastic Limit

b)

Ultimate Tensile Strength

c)

Necking

d)

Failure

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