Eng 209

Question 1

Young modulus, E

Answer 1

Stress/strain, sigma/e

Question 2

First moment of area, Q

Answer 2

Ay, where y is distance to the neutral axis.

Question 3

Shear flow, q

Answer 3

deltaH/deltax = VQ/I, where deltaH is the shear force on a longitudinal plane (e.g. a nail).

Question 4

Shear stress, tau

Answer 4

VQ/It, this applies to symmetric loading only.

Question 5

Stress, sigma

Answer 5

My/I

Question 6

Distance to shear centre, e

Answer 6

Fh/V

Question 7

Deflection of a spring under impact loading, deltamax

Answer 7

deltastatic(1+root(1+2(h/deltastatic))), where deltastatic = mg/k

Question 8

Max bending moment, Mmax

Answer 8

MstaticDLF

Question 9

Work by a single load, W

Answer 9

0.5Fd, where d is the deflection

Question 10

Strain energy in tension

Answer 10

U = (F^2)L/2AE

Question 11

Strain energy in shear

Answer 11

U = (V^2)L/2AG, where G is the shear modulus.

Question 12

Strain energy in torsion

Answer 12

U = (T^2)L/2GJ, where J is the polar second moment of area.

Question 13

Strain energy in bending

Answer 13

U = (F^2)(L^3)/6EI

Question 14

M/EI

Answer 14

d^2v/dx^2