College

11. If we use a PSL with [tex]E = 2,000,000 \, \text{psi}[/tex] and a moment of inertia of [tex]1,195 \, \text{inches}^4[/tex], what is the deflection in Beam 1?

A. 0.90 inches
B. 0.0003 inches
C. 1.35 inches
D. 2.5 inches

12. For the beam above with [tex]200 \, \text{PLF}[/tex], what is the maximum shear?

A. 800 pounds
B. 1,500 pounds
C. 4,000 pounds
D. 1,700 pounds

Answer :

To calculate the deflection and maximum shear of a beam, we need values for the modulus of elasticity, the moment of inertia, and the load applied to the beam. However, we need the specific load and length of the beam to calculate these values accurately. Without them, no accurate calculation can be made.

The subject here involves Engineering (specifically, Beam Deflection within the context of Mechanical or Civil Engineering). Assuming we're dealing with a simply supported beam with a centrally applied point load, the formula to calculate deflection (delta) is as follows:

δ = PL³ / 48EI

PSL = 2,000,000 psi (E), Moment of Inertia (I) = 1,195 inches^4, and by assuming Load (P) = 200 PLF and Length (L) = 1 foot (12 inches), plug these values into the formula will give the beam deflection. However, without specifications on the beam's load and length, we cannot calculate the deflection accurately.

For the second question, the shear force at the supports of a simply supported beam with a centrally applied point load is equal to P/2. Therefore, we need the value of Load (P) to calculate the maximum shear force.

Learn more about the topic of Deflection and Shear here:

https://brainly.com/question/34115297

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