Worksheets[End Apps] Beam Deflection
Total questions: 14
Worksheet time: 3hrs 48mins
Beam A and B are the same material and same dimensions. What distinguishes beam A from beam B?
Beam A will have a greater resistance to bending because it has a lower moment of inertia.
Beam A will have a greater resistance to bending because it has a higher moment of inertia.
Beam B will have a greater resistance to bending because it has a lower moment of inertia.
Beam B will have a greater resistance to bending because it has a higher moment of inertia.
What does the Moment of Inertia describe?
An objects stiffness related to its shape
An objects stiffness related to its chemical properties
An objects rotation because of inertia
An objects rotation because of force
What units is Moment of Inertia measured in?
in4
psi
in2
lbf
Why does a beam's orientation change it's Moment of Inertia? (Choose the BEST option)
You are changing what the measured Height is, which heavily impacts Inertia Calculations
You are changing the measured Base, which heavily impacts Inertia Calculations
You are changing the beam's length, which heavily impacts Inertia Calculations
Beam orientation doesn't matter, the Moment of Inertia stays the same.
The ratio of stress and strain is called the...
plastic deformation
ductility
modulus of elasticity
resistance to rupture
What does the Modulus of Elasticity describe?
An objects stiffness based on its shape
An objects stiffness based on its chemical properties
An objects rotation because of inertia
An objects rotation because of force
Correct formula for calculating beam deflection:
Describe the relationship between the maximum beam deflection and the length of the beam. Are the two directly related? Inversely related? Not related?
Directly Related: As the length of the beam increases, so does the maximum beam deflection.
Inversely Related: As the length of the beam increases, the maximum beam deflection decreases, and vice versa.
Not related
Given the information above, calculate the max beam deflection (δmax) for Beam A:
0.12 inches
1.39 inches
0.53 inches
0.24 inches
A force of 260 lb. is applied to the center of a 6 ⅙ feet long beam. The beam cross-section dimensions are 15.0 in x 1.3 in (W x H) and has a modulus of elasticity of 3.64 x 106 psi.
Calculate the moment of inertia (I).
2.75 in4
365.63 in4
27.5 in3
3.66 in4
A force of 240 lb. is applied to the center of a 6 feet long beam. The beam cross-section dimensions are 15.5 in x 1.3 in (W x H) and has a modulus of elasticity of 3.4 x 106 psi.
Calculate the max beam deflection (δmax).
0.19 in
2.83 in
9.12 in
1.1 in
A 5.0 ft long rectangular beam of wood has a width of 8.0 in and a height of 2.0 in. The elastic modulus for this type of wood is 1.50 x 106 psi. The beam has a max deflection of 0.625 in.
Determine the load force applied to the center of the beam.
1,111 lbs
2,350 lbs
3,333 lbs
459 lbs
Compare the maximum deflection distance for two boards made of yellow pine with a cross-section of 10 cm. by 2 cm (WxH).
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?
The longer board deflects 27 times more.
The longer board deflects 9 times more.
The longer board deflects 3 times more.
The shorter board deflects 8 times more.
A force of 1.59 kN is applied to the center of a 3.2 meter long beam. The beam cross-section dimensions are 48.0 cm x 2.9 cm (W x H) and has a modulus of elasticity of 490 x 109 Pa.
Calculate the max beam deflection (δmax) in millimeters.
2.27 mm
3.16 mm
9.12 mm
6.33 mm
