Beam Deflection

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.

• 3.5 mm

• 4.2 mm

• 1.5 mm

• 2.9 mm

• 10.5 mm

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.

• 5,118 psi

• 3,660 psi

• 7,960 psi

• 1,990 psi

• 2,542 psi

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

• ≈ 130 Mpa

• ≈ 250 Mpa

• ≈ 230 Mpa

• ≈ 200 Mpa

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

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

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

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

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

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

• cross-sectional area

• length

• material

• shape

• density

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?

• 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.

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

• Material #1

• Material #2

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

• Material #1

• Material #2

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 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