Answer:
406.72
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
elongation, x = 0.50 in
Force, f = 9000 lb
Young modulus, E = 10,000,000 psi
Maximum Stress, Sm = 30000 psi
Length, L = 16 ft
Converting ft to in,
12 in = 1 ft
=16 × 12 = 192 in
Young modulus, E = stress/strain
Stress = force/area, A
Strain = elongation, x/Length, L
E = f × L/A × E
1 × 10^7 = stress/(0.5/16)
= 26041.7 psi
Minimum stress = 26041.7 psi
Maximum stress = 30,000 psi
Stress = force/area
Area = 9000/26041.7
= 0.3456 in^2
Stress = force/area
Area = 9000/30000
= 0.3 in^2
Using minimum area of 0.3 in^2,
A = (pi/4)(d^2)
0.3 in^2 = (pi/4)(d^2)
d = 0.618 inches
diameter, d = 0.618 inches
Answer:
y = 5
Step-by-step explanation:
<u>Equation:</u>
m<DGF = m<DGE + m<EGF
<u>Given:</u>
m<DGF = 12y - 5
m<DGE = 5y + 6
m<EGF = 24
<u />
<u>Work:</u>
m<DGF = m<DGE + m<EGF
12y - 5 = 5y + 6 + 24
12y - 5 = 5y + 30
12y - 5y = 30 + 5
7y = 35
y = 5