Stress and Load Question

Mohr's Circle. See attached file for full problem description.

Calculating Modulus of Rupture

See the attached wood block diagrams. If a break load of 250 lbs. is applied to the first wood specimen, how do I determine the Moment of Inertia and calculate the Modulus of Rupture? The only difference between the specimens per the attached diagram is that a 1/4" x 1/4" key-way is cut into the center of the 2nd specimen. This is a simply supported beam analysis....but how do I calculate what I need and determine the difference in break load between the two??

Make an Elevator to Reach the Stars

What is a space elevator and how is such a thing possible?

DB - Find the capacity of a cylindrical tank

1. Find the capacity of a cylindrical tank that is 250 feet in diameter and 30 feet high? 2. In the above problem, what is the capacity if the tank is 75% full, and what is the capacity in gallons? 3. If 50 pounds of chlorine are mix with 100 pounds of water, what is per cent chlorine solution that is made? 4. Find the amount of water in a rectangular tank with a base length of 200 feet, base width of 50 feet and a height of 40 feet if the height of water in the tank is 35 feet? 5. A pipeline is 24 inches in diameter and two miles long. How many cubic feet and how many gallons of water are in pipeline?

Determine Normal and Shearing Stress

For the given state of stress, determine the normal and shearing stresses after the element shown has been rotated (a) 25 degrees clockwise, (b) 10 degrees counterclockwise.