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
Answer:

Step-by-step explanation:
The vertex form of a parabola f(x) = ax² + bx + c:

(h, k) - vertex

We have the equation:

Finally:

Answer: 7 minutes
Step-by-step explanation:
350/50=7
3*2.3333=7
Answer:
<u>The answer for this equation is x = 7</u>
Step-by-step explanation:
1. Solve for x given that CE=36
9 + 3x + 6 = 36
3x + 15 = 36
3x = 36 - 15 (Putting x on the left side and all the numeric values on the right)
3x = 21
<u>x = 7 (Dividing by 3 at both sides)</u>
2. Proof of replacing x by 7
9 + 3 (7) + 6 = 36
9 + 21 + 6 = 36
<u>36 = 36</u>
<u>It proves that x = 7 is correct</u>