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[Eng Apps] Strength of Materials, Beam Deflection Review

Total questions: 16

Worksheet time: 4hrs 0mins

Name
Class
Date
1.

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

2.

An 40 in aluminum wire (E = 20 x 106 psi) has a radius of 0.6 in. A force causes the string to stretch 0.30 in. Find the force applied to the string.

a)

94,247 lb

b)

333,827 lb

c)

77,804 lb

d)

169,646 lb

e)

15,247 lb

3.

Carbon Fiber has a Young’s modulus of 72 GPa and a yield strength of 130 MPa. At what strain value does the deformation become permanent?

a)

0.00181

b)

0.00138

c)

0.00775

d)

0.00223

e)

Not possible

4.

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

5.

A steel column is 10 m long and 1.2 m in diameter. It carries a compressive load of 50 x 106 N. If the modulus of elasticity is 300 GPa, determine how much the column is compressed.

a)

1.47 mm

b)

3.24 mm

c)

2.98 mm

d)

5.95 mm

e)

11.25 mm

6.

A material with a high plastic deformation region on a stress vs. strain curve is classified as...

a)

brittle

b)

ductile

c)

buckling

d)

strong

e)

unable to determine

7.

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

8.

Using the stress-strain curve above, what is the tensile strength for steel?

a)

≈ 350 Mpa

b)

≈ 250 Mpa

c)

≈ 230 Mpa

d)

≈ 200 Mpa

9.

Using the data in the extension-load table above, calculate the strain at datum #2008 for a bar of 7.00 mm in width, a thickness of 0.600 mm and a length of 40.0 mm.

a)

0.02015

b)

0.17804

c)

0.03023

d)

0.06545

10.

Using the data in the extension-load table above, calculate the stress of the rectangular bar of 7.00 mm in width, a thickness of 0.600 mm and a length of 40.0 mm at datum #2010.

a)

1.219 MPa

b)

1.625 MPa

c)

2.185 MPa

d)

0.241 MPa

e)

5.233 MPa

11.

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

12.

A 5.0 ft long rectangular beam of wood has a height of 2.0 in and a width of 8.0 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 point load on the center of the beam.

a)

1,111 lb

b)

2,350 lb

c)

3,333 lb

d)

459 lb

13.

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

14.

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.

15.

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

a)

Material #1

b)

Material #2

16.

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

a)

Material #1

b)

Material #2