A W12x30 of A992 steel has an unbraced length of 10 feet. Using Cb=1.0, compute Lp and Lr and the flexural design strength, 0bMn.

The country of Freelandia gained independence a few years ago and is mounting a major effort to promote new agricultural development in previously underdeveloped regions. A trucking operator in the town of K has previously been providing only local service. Now that a new major agricultural development program is under way, this operator is considering providing farm-to-market service to carry agricultural and other natural products from their origin in locality M to market at K. The distance is 150 miles (one way), with no intermediate major settlements. After discussions with the local agents of the producers at M, the trucker estimates that the demand function for shipments from M to K is

? = ? + ?₀? − ?₁P

where V is volume in tons per week, Q is frequency of shipments (per week), P is price charged per ton, and a₀, a₁, and Z are parameters. Based upon an average traveling speed of 30 miles per hour, plus a loading or unloading time of 3 hours at each end, he estimates that he can manage at the most one round trip every two days, so Q = 3 per week. He also figures that his costs are related to the mileage he drives per week; his total cost per week is:

?? = ?₀ + ?₁?_?

where m_T = 300Q is the total round-trip mileage driven and b₀and b₁ are parameters. The truck carries 15 tons. He is considering offering an initial frequency of 1 or 2 trips per week at a rate of $25.00 or $30.00 per ton. Assume b₀ = $270, b₁ = $0.50, Z = 25, a₀ = 13, a₁ = 1.

a. For these four combinations of frequency and price, what would be the tonnage carried, the gross revenues, the total cost, and the net revenue?

b. Which of the four options would be preferred by the operator if his objective where to maximize net revenue? To minimize costs? To maximize volume carried? Which option would be preferred by users (shippers)? Can both interests get their first choice simultaneously? If not, why not?

c. For the proposed service the predominant movement is from M to K; the amount of freight to be carried in the reverse direction is negligible. There is a possibility of  picking additional cargo at D to go to M; this would incur a detour of 100 miles additional but could result in an additional load and source of revenue. Would it be profitable for this operator to make the detour? Discuss qualitatively

60 cm diameter well is being pumped at a rate of 1360 litres/minute. measurements in a nearby test well were made at the same time as follows. At a distance of 6 m from the well being pumped, the drawdown was 6 m, and at 15 m the drawdown was 1.5 m. The bottom of the well is 90 m below the ground water table.

(a) Find out the coefficient of permeability.

(b) If all the observed points were on the Dupuit curve, what was the drawdown in the well during pumping?

(c) What is the sp. capacity of the well? (d) What is the rate at which water can be drawn from this well?

A certain structural member of uniform cross section has its strain limited to 0.6mm/m. The member has a tensile strength of 29 MPa and is 8 m long.

a. Determine the smallest permissible diameter of the cross section if the cross section is circular.

b. Determine the smallest permissible measure of one side of the cross section if the cross section is a square

Given P=+3.0%, q=-2% station of PI= 4+350 and elevation of PI=190.500m if L=250m,determine the station and elevation of the PC and PT
Calculate the elevation at every 20m station and locate the station and elevation of the highest point of the curve , plot the profile of the curve

Design a strap footing to support the two columns. These structural elements are spaced at a distance of 4.5 m center to center. Exterior column is 400 mm x 400 mm and carries a dead load of 275 KN and a live load of 400 KN. Interior column is also 400 mm x 400 mm in cross section and carries a dead load of 600 KN and a live load of 500 KN.

Use f'c = 21 MPa, fy = 414 MPa, and q-all net = 255 KPa. Assume weight of footing to be 10% of total load.

Explain the basic requirement of pressure and capacity in water distribution system

QUESTION 3: POST INDUSTRIAL REVOLUTION PLANNING “Lewis Mumford was a visionary thinker who promoted ideas that are still relevant today.” 3.1 Compile a list of the development principles identified by Mumford which you think are still applicable today in South Africa.

Also, find the Ix, Iy, rx, ry, and J for an 8 inch tall, 6 inch wide rectangle with a 1 inch diameter hole drilled in it. The center of the hole is located 3 inches below and 2 inches to the right of the top left corner of the rectangle.

Describe a workplace you are familiar with.

For each type of hazard, describe an example of the hazard present in the workplace, and what controls are used to mitigate the danger associated with it. There should be an example of each type of control (Engineering, Administrative, and PPE) for each hazard.

Example: Grocery Distribution Center

Temperature Hazard: -25° Freezer
Engineering Control: The freezer is walled off from the rest of the perishable goods area
Admin Control: Personnel cannot work in the freezer more than 45 minutes at a time
PPE: Freezer suits, masks, gloves
Pressure Hazard: Ammonia lines for refrigeration
Engineering Control: Lines mostly run across the roof to keep them away from employees
Admin Control: Only authorized personnel are allowed in ammonia service areas
PPE: Enclosed eye protection, gloves, mask required when working on ammonia lines
Electrical Hazard: Forklift battery
Engineering Control: Battery is enclosed inside forklifts, except when being operated on by approved maintenance personnel
Admin Control: LOTO Program
PPE: Rubber gloves required when working on electrical components
Fire Hazard: Flammable products (such as lighter fluid, roach spray, etc)
Engineering Control: Aerosol room constructed inside the warehouse to contain all flammable products; in the event of a fire in the aerosol room, bay doors drop to enclose the fire.
Admin Control: All employees receive fire extinguisher and fire escape training.
PPE: Fire response team has fire suits, SCBA gear.
Toxic Material Hazard: Battery acid (from industrial truck batteries)
Engineering Control: Battery changing area located at far rear of shop, beyond grocery picking area and away from non-maintenance employees.
Admin Control: All employees perform pre-shift inspection of battery caps before boarding truck (if truck allows access to battery caps by non-maintenance personnel.)
PPE: Gloves, mask, goggles required for maintenance personnel when working on battery

1. Identify limitations on the application of Conservation of Energy.

Water flows from a large 4m detention basin (100m by 50m) along a 200mm diameter pipe for a distance of 100m at a slope of 1:200. The pipe centerline is 300mm above the base of the basin and it drains freely to a nearby channel. Calculate the steady flow rate if: (a) the flow is assumed ideal, (b) the pipe is considered smooth for the purposes of the Moody Diagram. (c) the pipe has a relative roughness of 0.006. (d) the time to empty the basin for case (c).

Why is it important for engineers to consider the environment in their projects?