Find the distance of the centroid from the y-axis of the area bounded by the curve x2 = 16y, the line x = 12 and the x – axis.
Solution:
A carpenter chisels hole of side 2 in through a round post of radius 2 in., the axis of the hole intersecting that of the post at right angles. Find the volume of wood cut out.
Solution:
Given the following data of a closed traverse survey. Compute the corrected latitude of line using transit rule.
LINE LATITUDE
A – B + 10.13
B – C - 7.04
C – D - 28.36
D – E + 5.42
E – A + 19.95
Solution:
A mixture compound from equal parts of two liquids, one white and the other black was placed in a hemispherical bowl. The total depth of the two liquids is 3cm. after standing for a short time the mixture separated. The white liquid settling below the black. If the thickness of the segment of the black liquid is 1cm., find the radius of the bowl.
Solution:
The maintenance cost of a certain equipment is P40,000 per year for the first 5 years, P60,000 per year for the next 5 years, cost of overhaul at the end of the 5th year and the 8th year is P140,000. Find the equivalent uniform annual cost of maintenance if money is worth 6% compounded annually.
Solution:
Which of these gives the lowest effective rate of interest.
a) 12.35% compounded annually
b) 11.9% compounded semi-annually
c) 12.2% compounded quarterly
d) 11.6% compounded monthly
Solution:
A vertical sag parabolic curve has a length of curve of 420m. from A to B. The back tangent has a slope of -3.2% and the point of intersection of the tangents is at station 7 + 180 with an elevation of 998m. Find the elevation of point A.
Solution:
A 90m. x 90m. square lot is to be divided into 9 square sections. The following data are the elevations of the ground surface at the corners of the square section of the lot. Find the volume of the earthworks excavated if the ground surface is to be leveled to elevation 5m. using unit area method.
A = 8.3 m. E = 7.6 I = 7.2 M = 7.2
B = 7.9 m. F = 9.2 J = 10.2 N = 6.2
C = 10.8 m. G = 10.6 K = 9.4 O = 9.6
D = 6.8 m. H = 8.6 L = 6.9 P = 8.9
| A=3.3 | B=2.9 | C=5.8 | D=1.8 |
| 30
E=2.6 |
30
F=4.2 |
30
G=5.6 |
30
H=3.6 |
| I=2.2 | J=5.2 | K=4.4 | 30
L=1.9 |
| M=2.2 | N=1.2 | O=4.6 | 30
P=3.9 |
Solution:
A car moves at an initial velocity of 3600 m/s and decelerates at 450 m/min/sec. Find the distance traveled by the car until it reaches a velocity of 3000 m/s.
Solution:
A right circular cone has an altitude of 2e and a diameter of e. Compute the volume of the right circular cone.
Solution:
A closed cylindrical tank has a capacity of 576.56 m3. Find the minimum surface area of the tank.
Solution:
An engineer set up a transit at a point inside a triangular lot and observes the bearings and distances of the corners A, B and C of the lot as follows.
Corners Bearing Distances
A N. 35° W. 17 m.
B N. 70° E. 22 m.
C Due South 32 m.
Compute the area of the triangular lot.
Solution:
A highway curve has a radius of 122m. find the angle of super elevation in degrees so that there will be no lateral pressure between the tires and the roadway at a speed of 30 mph.
Solution:
Twenty (20) men can finish the job in 30 days. Twenty five (25) men were hired at the start and 10 quit after 20 days. How many days will it take to finish the job?
Solution:
A 40 kg block is resting on an inclined plane making an angle of 20° from the horizontal. If the coefficient of friction is 0.60, determine the force parallel to the inclined plane that must be applied to cause impending motion up the plane.
Solution:
Find the area abounded by the ellipse x2 + 16y2 – 16x + 96y + 144 = 0 Use A = π ab
Solution:
The area of a hexagon inscribed in a circle is 158cm2. Find the difference in area between the hexagon and a circle.
Solution:
Given the two sides of the triangle ABC as AB = 22 m., AC = 8m. The probable perimeter of the triangle maybe.
Solution:
The first cost of a certain equipment is P324,000 and a salvage value of P50,000 at the end of its life of 4 years. If money is worth 6% compounded annually, find the capitalized cost.
Solution:
A horizontal curve has a design speed of 50 mph. if e = 0.10 and f = 0.16, find the degree of curve.
Solution:
A man paid 10% down payment of P200,000 for a house and lot and agreed to pay the 90% balance on monthly installments for 60 months at an interest rate of 15% compounded monthly. Compute the amount of the monthly payment.
Solution:
Given the cost equation of a certain product as follows:
C = 50t2 – 200t + 10000 where t is in years.
Find the maximum cost from the year 1995 to 2002.
Solution:
The area bounded by the water line of a reservoir and the contours with a contour interval of 2m. are as follows.
A1 = 10250 m2 A3 = 7750 m2
A2 = 8350 m2 A4 = 6900 m2
A5 = 5250 m2
Calculate the volume of the reservoir using End area method.
Solution:
A 30m. tape which is of standard length at a temperature of 20°C is used to measure a line with a measured distance of 412 m. the temperature during the time of measurement was 52°C. If the coefficient of thermal expansion of the tape is 0.0000116 m/C. determine the corrected length of the line.
Solution:
A simple curve having a degree curve of 4° has an angle of intersection of 24°. Compute the length of the long chord using arch basis.
Solution:
Civil Engineering Online Review
