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Problem 1. Solve the following three questions of the beam ABC. Note that A is a roller support; B is a pin connection; and C is a fixed support.
1) Draw the influence line for the support reaction at A (tabulate value method);
2) Determine the maximum support reaction that can be developed at A in the beam due to: a concentrated moving load of 5kN and a uniform moving load of 4kN/m;
3) Calculate the support reaction at point C for the beam ABC subjected to the loading obtained from 2).
Problem 2. A bridge is composed of the structural system whose configuration is shown in the following figure. The truss is loaded at its top chord panel points by the reactions from a stringer and floor beam system that supports a roadway slab.
1) Use tabulate value method to draw the influence lines for forces in bars BF and BC.
2) If a fully loaded motorised ore carrier with a total weight of 70 kN crosses the bridge, use either increase-decrease method or trial-and-error method to determine the maximum compressive force in bar BF. Assume the truck can only move from the left to the right.
Use the bisection method to find the root of the equation f(x) = x 2 - 4sin(x) = 0. For initial bracketing interval [a,b] , take a=1 and b = 3.
A bullet is fired from a height of 150m at a velocity of 300kmph at an angle of 35 upward. Neglecting air resistance. Find: a) total time of flight b) horizontal range
A beryllium copper wire having diameter of 1-50 mm and length of 40mm is used as a small torsion bar in an instrument. determine what angle of twist would result in the wire when it is stressed to 250 mpa.
The superelevation rate is 0.084. Prepare a plot showing the ordinates required for the transition from the tangent section to the full superelevated section, assuming that the pavement width is 7.3 m wide. Make any necessary assumptions.
Determine the value of Po, as a funciton of H, for these two investment alternatives to be equivalent at an interest rate of i=15% per year.
what is the engineering ethics case related to civil engineering with reference and discuss all the engineering ethics issues which covered the "Engineering etics concepte and cases?
A four-lane urban freeway (two lanes in each direction) is located on rolling terrain and has 12-ft lanes, no lateral obstructions within 6 ft of the pavement edges, and an interchange every 2 miles.
For the data given below, derive the 2-hr unit hydrograph for a watershed having a drainagearea of 216 km^2, assuming a constant baseflow of 20 m^3/s.
The herbicide 2,4,D, is applied to a golf course at a rate of 1.2 kg/ha. The organic matter content of the soil is 1%, bulk density is 1.3 g/cm3, and water content is 0.3. a) What fraction of the herbicide is adsorbed, and what fraction is dissolve..
Draw the FBD and the shear and bending moment diagrams. Label all minimums, maximums and zero crossing points as well as the slopes as constant, linear or parabolic.
If the amount of heat transfer in the HE unit is 2460 kJ per kg of steam, what is the magnitude of shaft work obtained from the turbine in kW?
The company would like to distribute the songs between the two CDs such that the used space on each CD is about the same. Formulate the problem as an IP, and find the optimal solution.
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