a beam has a maximum strength of 3,000 psi. a 500 - pound weight is added to the center of the beam and…

a beam has a maximum strength of 3,000 psi. a 500 - pound weight is added to the center of the beam and creates an added stress of 1,000 psi to the beam. how much more weight can the beam take, at its center, before it reaches its breaking point?\na 500 pounds\nb 1,000 pounds\nc 1,500 pounds\nd 2,500 pounds

a beam has a maximum strength of 3,000 psi. a 500 - pound weight is added to the center of the beam and creates an added stress of 1,000 psi to the beam. how much more weight can the beam take, at its center, before it reaches its breaking point?\na 500 pounds\nb 1,000 pounds\nc 1,500 pounds\nd 2,500 pounds

Answer

Explanation:

Step1: Calculate remaining stress capacity

The beam has a maximum strength of 3000 psi and 1000 psi is already used. So the remaining stress - capacity is $3000 - 1000=2000$ psi.

Step2: Find the weight per psi

A 500 - pound weight creates 1000 psi of stress. So the weight per psi is $\frac{500}{1000}=0.5$ pounds per psi.

Step3: Calculate additional weight

Multiply the remaining stress capacity by the weight per psi. So the additional weight is $2000\times0.5 = 1000$ pounds.

Answer:

B. 1,000 pounds