Page 6 of 8

Summer 2015 Name:

10. ‘l‘wenty-five feet of steel strapping is coiled in a flat 10 inch by 10 inch box The strapping is 1
inch wide and 0.0625 inch thick. (“llint‘ Assume the coil can be approximated by concentric
hoops with no gaps between them.)

Determine
a. The bending moment at the outer most coil
b. The maximum bending stress at the outer most coil
c. The bending moment at the inner most coil
d. The maximum bending stress at the. inner most coil
e. lfthe yield strength is 36 ksi, what is the minimum diameter the strapping could be coiled
without causing permanent deformation?

Approach to the problem:

Final Answers:

a.

b.

C.

tl.

e.

Page 7 of 8

8 of 8 Page 7 of 8
Summer 2015 Name:

11. For the beam and loading shown w” = 800 N L = 4 m the Yield strength for the beam
material is 200 MPa, and the Factor of Safety required is 1.8: Using a software program to
create the plots (_e.g. Matlab. Maple. Excel, etc…)

3. Draw the shear diagram, and define the equation ofshear for the beam

b. Draw the moment diagram. and define the equation of moment for the beam

c. Determine the minimum required section modulus

d. Specify the most economical wide-flange beam.

x l,”3
V = “/0 (Z)
L- L – ll
Approach to the problem:
Final Answers:
a. and b. _ Attach scale drawings with work_
C.
d.
Page 8 of 8

Page 6 of 8

Summer 2015 Name:

10. ‘l‘wenty-five feet of steel strapping is coiled in a flat 10 inch by 10 inch box The strapping is 1
inch wide and 0.0625 inch thick. (“llint‘ Assume the coil can be approximated by concentric
hoops with no gaps between them.)

Determine
a. The bending moment at the outer most coil
b. The maximum bending stress at the outer most coil
c. The bending moment at the inner most coil
d. The maximum bending stress at the. inner most coil
e. lfthe yield strength is 36 ksi, what is the minimum diameter the strapping could be coiled
without causing permanent deformation?

Approach to the problem:

Final Answers:

a.

b.

C.

tl.

e.

Page 7 of 8

8 of 8 Page 7 of 8
Summer 2015 Name:

11. For the beam and loading shown w” = 800 N L = 4 m the Yield strength for the beam
material is 200 MPa, and the Factor of Safety required is 1.8: Using a software program to
create the plots (_e.g. Matlab. Maple. Excel, etc…)

3. Draw the shear diagram, and define the equation ofshear for the beam

b. Draw the moment diagram. and define the equation of moment for the beam

c. Determine the minimum required section modulus

d. Specify the most economical wide-flange beam.

x l,”3
V = “/0 (Z)
L- L – ll
Approach to the problem:
Final Answers:
a. and b. _ Attach scale drawings with work_
C.
d.
Page 8 of 8

Page 6 of 8

Summer 2015 Name:

10. ‘l‘wenty-five feet of steel strapping is coiled in a flat 10 inch by 10 inch box The strapping is 1
inch wide and 0.0625 inch thick. (“llint‘ Assume the coil can be approximated by concentric
hoops with no gaps between them.)

Determine
a. The bending moment at the outer most coil
b. The maximum bending stress at the outer most coil
c. The bending moment at the inner most coil
d. The maximum bending stress at the. inner most coil
e. lfthe yield strength is 36 ksi, what is the minimum diameter the strapping could be coiled
without causing permanent deformation?

Approach to the problem:

Final Answers:

a.

b.

C.

tl.

e.

Page 7 of 8

8 of 8 Page 7 of 8
Summer 2015 Name:

11. For the beam and loading shown w” = 800 N L = 4 m the Yield strength for the beam
material is 200 MPa, and the Factor of Safety required is 1.8: Using a software program to
create the plots (_e.g. Matlab. Maple. Excel, etc…)

3. Draw the shear diagram, and define the equation ofshear for the beam

b. Draw the moment diagram. and define the equation of moment for the beam

c. Determine the minimum required section modulus

d. Specify the most economical wide-flange beam.

x l,”3
V = “/0 (Z)
L- L – ll
Approach to the problem:
Final Answers:
a. and b. _ Attach scale drawings with work_
C.
d.
Page 8 of 8