Calculating Deformation

MOM Final Exam Review

by Katie Heckman

Multiple Choice

The relationship between longitudinal and lateral strain that is associated with an applied axial load is defined by:

• Hooke's Law

• Poisson's ratio

• Euler's Buckling Load

• Saint Venant's Principle

​What is Hooke's Law?

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​What is Poisson's Ratio?

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​What is Euler's Buckling Load?

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​What is St. Venant's Principle?

Multiple Choice

The elastic region of a stress-strain diagram for steel has the following characteristics:

• The stress and strain are linearly related

• Defines the modulus of elasticity for a material

• When loaded and unloaded in this region, specimen will return to its original shape

• All of the above

Multiple Choice

• 74.7 MPa

• 74.7 GPa

• 88.3 MPa

• 7.85 MPa

• 53.3 MPa

Multiple Choice

Determine the location of the centroid (y) from the given x' axis

• 6 in

• 7.18 in

• 7.45 in

• 8.10 in

Multiple Choice

At failure, the fracture stress of a specimen was 925 MPa. The original cross sectional area was 126.7 mm² and the final cross section diameter was measured at 8.89 mm. What is the true engineering stress at fracture?

• 150 MPa

• 925 N

• 453 MPa

• 1890 MPa

• 2250 MPa

Multiple Choice

For the applied loads and dimensions, calculate T_AB.

• 12.5 lb-in

• 12.5 lb-ft

• 25 lb-in

• 25 lb-ft

Fill in the Blanks

Multiple Choice

A No. 2 pencil is subject to Torque as shown. The appropriate geometry of deformation is:

• $$\phi_{1\ }+\ \phi_{2\ }=\ 0$$  

• $$\phi_{1\ }=\ \phi_{2\ }=\ 0$$  

• $$\phi_{1\ }-\ \phi_{2\ }=T$$  

• $$\phi_{1\ }=\ \phi_{2\ }$$  

Multiple Choice

Where is the maximum shear stress found due to a transverse load on the constant cross section of a beam

• At the neutral axis

• At the outer fibers

• All of the above

• None of the above

Multiple Choice

The principal stresses at a point are shown on a stress element and the associated Mohr’s Circle. Determine the maximum in plane shear stress.

• 7 ksi

• 18 ksi

• 25 ksi

• 50 ksi

Multiple Choice

The principal stresses at a point are shown on a stress element and the associated Mohr’s Circle. Determine the absolute max shear stress.

• 7 ksi

• 18 ksi

• 25 ksi

• 50 ksi

Multiple Choice

On Mohr's circle for a stress element, the average normal stress is found at the same rotation as:

• the principal normal stresses

• the max shear stress

• $$\sigma_x\ and\ \sigma_y\$$  

• hoop and tangential stresses

Multiple Choice

The vertical beam deflection at B is calculated to be v_b. If the moment is doubled, the deflection at B will be:

• 1.5 x v_b

• 2 x v_b

• 3 x v_b

• 4 x v_b

​Answer: 2 x v_b

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​Must use the elastic curve equation (last column)

​- Doubling M doubles v