The force in the spring will be
.
The deflection of the beam will be
= ![0.15(\dfrac{KPL^3}{3EI})](https://tex.z-dn.net/?f=0.15%28%5Cdfrac%7BKPL%5E3%7D%7B3EI%7D%29)
<h3>What is a cantilever beam?</h3>
A rigid, horizontally extending structural member known as a cantilever is supported at only one end. Typically, it extends from a solidly affixed flat vertical surface, such as a wall.
Given that:-
- A cantilever beam AB of length L has fixed support at A and spring support at B.
- The spring behaves in a linearly elastic manner with stiffness k. If a concentrated load P is applied at B.
The spring force will be calculated as:-
![F = kx](https://tex.z-dn.net/?f=F%20%3D%20kx)
Deflection will be given by:-
![x = \dfrac{PL^3}{3EI}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7BPL%5E3%7D%7B3EI%7D)
The spring force will be calculated by:-
![F = \dfrac{KPL^3}{3EI}](https://tex.z-dn.net/?f=F%20%3D%20%5Cdfrac%7BKPL%5E3%7D%7B3EI%7D)
The deflection of the beam will be given as:-
![\rho = \dfrac{0.15KPL^3}{3EI}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cdfrac%7B0.15KPL%5E3%7D%7B3EI%7D)
Therefore the force in the spring will be
..The deflection of the beam will be
= ![0.15(\dfrac{KPL^3}{3EI})](https://tex.z-dn.net/?f=0.15%28%5Cdfrac%7BKPL%5E3%7D%7B3EI%7D%29)
To know more about Cantilever beam follow
brainly.com/question/16791806
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Answer:
P = 4.745 kips
Explanation:
Given
ΔL = 0.01 in
E = 29000 KSI
D = 1/2 in
LAB = LAC = L = 12 in
We get the area as follows
A = π*D²/4 = π*(1/2 in)²/4 = (π/16) in²
Then we use the formula
ΔL = P*L/(A*E)
For AB:
ΔL(AB) = PAB*L/(A*E) = PAB*12 in/((π/16) in²*29*10⁶ PSI)
⇒ ΔL(AB) = (2.107*10⁻⁶ in/lbf)*PAB
For AC:
ΔL(AC) = PAC*L/(A*E) = PAC*12 in/((π/16) in²*29*10⁶ PSI)
⇒ ΔL(AC) = (2.107*10⁻⁶ in/lbf)*PAC
Now, we use the condition
ΔL = ΔL(AB)ₓ + ΔL(AC)ₓ = ΔL(AB)*Cos 30° + ΔL(AC)*Cos 30° = 0.01 in
⇒ ΔL = (2.107*10⁻⁶ in/lbf)*PAB*Cos 30°+(2.107*10⁻⁶ in/lbf)*PAC*Cos 30°= 0.01 in
Knowing that PAB*Cos 30°+PAC*Cos 30° = P
we have
(2.107*10⁻⁶ in/lbf)*P = 0.01 in
⇒ P = 4745.11 lb = 4.745 kips
The pic shown can help to understand the question.
Answer:
building lol and actually workin
Explanation:
Answer:
2.5 is the required details