Answer:
c = 11
Step-by-step explanation:
96 - 8c = 20 - 12 , that is
96 - 8c = 8 ( subtract 96 from both sides )
- 8c = - 88 ( divide both sides by - 8 )
c = 11
Answer:
Step-by-step explanation:
2(4x+1)<3(2x-3)
simplify to
8x+2<6x-9
we can add 9 to both sides and subtract 8x from both sides
11<-2x
divide by -2
-5.5>x
Answer:
P_max = 9.032 KN
Step-by-step explanation:
Given:
- Bar width and each side of bracket w = 70 mm
- Bar thickness and each side of bracket t = 20 mm
- Pin diameter d = 10 mm
- Average allowable bearing stress of (Bar and Bracket) T = 120 MPa
- Average allowable shear stress of pin S = 115 MPa
Find:
The maximum force P that the structure can support.
Solution:
- Bearing Stress in bar:
T = P / A
P = T*A
P = (120) * (0.07*0.02)
P = 168 KN
- Shear stress in pin:
S = P / A
P = S*A
P = (115)*pi*(0.01)^2 / 4
P = 9.032 KN
- Bearing Stress in each bracket:
T = P / 2*A
P = T*A*2
P = 2*(120) * (0.07*0.02)
P = 336 KN
- The maximum force P that this structure can support:
P_max = min (168 , 9.032 , 336)
P_max = 9.032 KN
