Answer:
a. [tex]L_o[/tex] = 40 psf
b. L ≈ 30.80 psf
c. The uniformly distributed total load for the beam = 812.8 ft./lb
d. The alternate concentrated load is more critical to bending , shear and deflection
Explanation:
The given parameters of the beam the beam are;
The span of the beam = 26 ft.
The width of the tributary, b = 16 ft.
The dead load, D = 20 psf.
a. The basic floor live load is given as follows;
The uniform floor live load, = 40 psf
The floor area, A = The span × The width = 26 ft. × 16 ft. = 416 ft.²
Therefore, the uniform live load, [tex]L_o[/tex] = 40 psf
b. The reduced floor live load, L in psf. is given as follows;
[tex]L = L_o \times \left ( 0.25 + \dfrac{15}{\sqrt{k_{LL} \cdot A_T} } \right)[/tex]
For the school, [tex]K_{LL}[/tex] = 2
Therefore, we have;
[tex]L = 40 \times \left ( 0.25 + \dfrac{15}{\sqrt{2 \times 416} } \right) = 30.80126 \ psf[/tex]
The reduced floor live load, L ≈ 30.80 psf
c. The uniformly distributed total load for the beam, [tex]W_d[/tex] = b × [tex]W_{D + L}[/tex] =
∴ [tex]W_d[/tex] = = 16 × (20 + 30.80) ≈ 812.8 ft./lb
The uniformly distributed total load for the beam, [tex]W_d[/tex] = 812.8 ft./lb
d. For the uniformly distributed load, we have;
[tex]V_{max}[/tex] = 812.8 × 26/2 = 10566.4 lbs
[tex]M_{max}[/tex] = 812.8 × 26²/8 = 68,681.6 ft-lbs
[tex]v_{max}[/tex] = 5×812.8×26⁴/348/EI = 4,836,329.333/EI
For the alternate concentrated load, we have;
[tex]P_L[/tex] = 1000 lb
[tex]W_{D}[/tex] = 20 × 16 = 320 lb/ft.
[tex]V_{max}[/tex] = 1,000 + 320 × 26/2 = 5,160 lbs
[tex]M_{max}[/tex] = 1,000 × 26/4 + 320 × 26²/8 = 33,540 ft-lbs
[tex]v_{max}[/tex] = 1,000 × 26³/(48·EI) + 5×320×26⁴/348/EI = 2,467,205.74713/EI
Therefore, the loading more critical to bending , shear and deflection, is the alternate concentrated load
What causes the charging system warning lamp to go out when the engine starts up?
Select one:
a. It turns off when ground is supplied to the lamp.
b. It turns off because voltage is applied to both sides of the lamp.
c. It turns off automatically after about 5 seconds.
d. It turns off because voltage is applied to one side of the bulb and ground to the other side.
Most methods of transportation rely on some sort of infrastructure to drive, steer, navigate, or direct at some point or another in a journey. Which category of transportation system is least reliant on infrastructure?(1 point)
Answer:
Most methods of transportation rely on some sort of infrastructure to drive, steer, navigate, or direct at some point or another in a journey. Which category of transportation system is least reliant on infrastructure?(1 point). road
Explanation: