Answer:
Magnitude of force P = 25715.1517 N
Explanation:
Given - The wires each have a diameter of 12 mm, length of 0.6 m, and are made from 304 stainless steel.
To find - Determine the magnitude of force P so that the rigid beam tilts 0.015∘.
Proof -
Given that,
Diameter = 12 mm = 0.012 m
Length = 0.6 m
= 0.015°
Youngs modulus of elasticity of 34 stainless steel is 193 GPa
Now,
By applying the conditions of equilibrium, we have
∑fₓ = 0, ∑
= 0, ∑M = 0
If ∑
= 0
⇒
×0.9 - P × 0.6 = 0
⇒
×3 - P × 2 = 0
⇒
= 
If ∑
= 0
⇒
×0.9 = P × 0.3
⇒
×3 = P
⇒
= 
Now,
Area, A =
= 1.3097 × 10⁻⁴ m²
We know that,
Change in Length ,
= 
Now,
= 9.1626 × 10⁻⁹ P
= 1.83253 × 10⁻⁸ P
Given that,
= 0.015°
⇒
= 2.618 × 10⁻⁴ rad
So,

⇒2.618 × 10⁻⁴ = ( 1.83253 × 10⁻⁸ P - 9.1626 × 10⁻⁹ P) / 0.9
⇒P = 25715.1517 N
∴ we get
Magnitude of force P = 25715.1517 N
Answer:
correct answer is option C)
Explanation:
W 12 x 30 section of the beam dimension
Value of E = 29000 ks i/in²
I = 238 in⁴
weight of beams per length = 30 lbs/ft = 30 × 10⁻³ ks i/ft = 2.5 × 10⁻³ ks i/in.
distribution load = 2 k/ft = 1/6 k/in
L = 16 × 12 = 192 inch.
deflection due to distributed load = 
= 
= 0.427 in.
deflection due to self weight = 
= 
= 0.01025 inch
total deflection = 0.427 in.+ 0.01025 inch
total deflection = 0.4375 in
correct answer is option C)
Answer:
Following are the responses to the given question:
Explanation:
Effective red duration is applied each cycle r=30 second D/D/1 queuing
In total, its approach delay is 83.33 sec vehicle per cycle
Flow rate(s) of saturated = 1,000 vehicles each hour
Total vehicle delay per cycle
The flow rate for such total approach is 0.111 per second.
The overall flow velocity of the approach is 400 cars per hour
The approach capacity refers to the number of arrivals per cycle.
Environmentally friendly time ratio to cycle length: