Answer:
The answer to your question is y = 2(x + 8)²
Step-by-step explanation:
This is a vertical parabola that opens upwards
The distance from the vertex to the directrix is 1/8 so p = 1/8.
Equation
(x - h)² = 4p(y - k)
h = -7
k = 0
p = 1/8
Substitution
(x + 8)² = 4(1/8)(y - 0)
Vertex form equation
(x + 8)² = 1/2(y)
y = 2(x + 8)²
x² + 16x + 64 = 1/2y
2x² + 32x + 128 = y
General equation
2x² + 32x - y + 128 = 0
The moment M that will produce a maximum stress of 70 MPa on the cross-section of 177.3 will be 13.533 kN-m.
<h3>What is bending stress?</h3>
Bending stress is the typical stress that an item experiences when it is exposed to a heavy load at a specific spot, causing it to bent and fatigue.
The moment of inertia above the neutral axis will be
Iₓₓ = 99 x 84.7³/3 - (99 - 12 x 3) (84.7 - 12)³/3
Iₓₓ = 11983247 mm⁴
The moment of inertia below the neutral axis will be
Iₓₓ = 2 x 12 x (87 - 84.7)³/3 + 12 x 177.3³/3
Iₓₓ = 22294005 mm⁴
Then the moment of inertia about the neutral axis will be
Iₓₓ = + 11983247 + 22294005
Iₓₓ = 34277252 mm⁴
Then for maximum bending stress, we have
M = σ x Iₓₓ / y(max)
We have
σ = 70 MPa
Iₓₓ = 34277252 mm⁴
y(max) = 177.3
Then we have
M = 70 x 34277252 / 177.3
M = 13.533 kN-m
More about the bending stress link is given below.
brainly.com/question/24227487
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Answer:
Here, I did the assignment. I wish you good luck!
Step-by-step explanation:
working is above
hope it helps
