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Problem 1. A single-storey factory is composed of a number of steel truss structures, as shown in the following figure. For all bars, area A=1000 mm2, E=200 GPa.
The maximum vertical load and horizontal load have been identified and shown in the figure. Under this loading condition, you are asked to determine the horizontal deflection of joint C.
Problem 2. You are asked to analyse a typical beam in "CADET" building, which is a continuous beam with three column supports. By idealising its supports, the beam is shown in the following figure. A is a fixed support; B and C are roller supports. EI is constant.
The maximum vertical load on each span has been identified and shown in the figure. Use the Force Method to compute all the support reactions for this beam.
The cross sectional dimensions of a 4-ft-long wood member at 30% moisture content is 1.5 in. x 7.5 in., and its weight is 11 lb. At oven-dry condition, its dimensions and weight are 1.35 in x 6.8 in., and 10.2, respectively. What is its specific g..
An engineering student is driving on a level roadway and sees a construction sign 180 m ahead in the middle of the roadway. The student strikes the sign at 56 kph. If the student was traveling at 90 kph when the sign was first spotted, what was th..
The hypothetical velocity distribution in a horizontal, rectangular open channel is V=0.3y (m/s), where V is the velocity at a distance y (m) from the bottom of the channel. If the vertical depth of flow is 2 m and the width of the channel is 4 m,..
If the queue clears exactly at the end of the effective green D/D/1 queuing applies, determine the total vehicle delay in the cycle (in veh-sec) .
A regular hexagonal pyramid has an upper base edge of 16 ft. and a lower base edge of 28 ft. if the volume of the frustum is 18041 ft^3., find the lateral area of the frustum.
A soil sample was taken from a proposed cut area in a highway construction project and sent to a soils laboratory for a compaction test, using the Standard Proctor compaction procedure. Results of the test are as follows:
Describe a dynamic programming algorithm to find an independent set of T such that the sum of numbers of nodes in the set is the largest among all possible independent sets of T.
Wastewater is discharged into an aquifer. This wastewater contains 0.1 ppm atrazine (a common herbicide). The MCL of atrazine is 5 ppb, the density is 1.19 g/mL and the solubility is 50 ppm. 500 ft away from the plant effluent there is a permeable..
Air can be assumed as a di-atomic ideal gas. Find the final temperature and the amount of work ( in kW) required for air compression at a rate of 100 mol/s , from an initial condition of 1 bar an 25 C to 10 bar; for the following ways:
A 30mm pipe X 460 mm rectangular duct carries air. What size square conduit is needed to transport 4m cube per sec of water at a distance of 45m and head loss of of 1.08m.
Show or formulate the shear and bending moment expressions for each board, and plot/draw the shear and bending moment diagrams of the boards.
A vertical triangular orifice in the wall of a reservoir has a base 0.9m long,0.6m below its vertex and 1.2 m below the water surface. Determine the theoretical discharge?
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