Mapúa Institute of Technology

School of Civil, Environmental, and Geological Engineering2Q S.Y 2015-2016

COMPILED PROBLEMSpresented to:

Engr. Jerome V. Katigbak

in partial fulfillmentof the requirements in

CONSTRUCTION MATERIALS(CE152P/C3)

by:Carpio, Patrick Jan

Marcial, CarlOng, Joy

Petterson, RoyellRamirez, Charles Jon N.

2ND TERM S.Y. 2015-2016RAMI

RAMIREZ, CHARLES JON N.

1. MATHEMATICS: An airplane flying with the wind can cover a certain distance in 2 hours.  The return trip against the wind takes 2.5 hours.  How fast is the plane and what is the speed of the air, if the one-way distance is 600 miles? (Let x-speed of the plane, y-speed of the wind) a. x = 40, y = 260b. x = 30, y = 270c. x = 270, y = 30d. x = 230, y = 70

2. FLUID MECHANICS: Gate AB is 5ft wide into the paper, hinged at A and is restrained by a stop at B. Compute the reaction on Stop B if the water h is 9.5ft deep.

a. R = 5096 lbsb. R = 4264 lbsc. R = 6054 lbsd. R = 3680 lbs

3. MATHEMATICS: The two vertices of a triangle are A(2,4) and B(-2,3). Find the locus of the third vertex of the triangle if its area is 2 square units.

a. 4x - y = 12b. 4x + 4y = 10c. x + 4y = 12d. x – 4y = -10

4. SURVEYING: The long chord from the P.C. to the P.T. of a compound curve is 300m long and the angles it makes with the longer and shorter tangents are 12⁰ and 15⁰ respectively. If the common tangent is parallel to the long chord, find the radius of the curves.

a. R1 = 745. 75 m, R2 = 545. 75 mb. R1 = 802.36 m, R2 = 514.55 mc. R1 = 845. 70 m, R2 = 445. 65 md. R1 = 795. 75 m, R2 = 645. 75 m

5. MATHEMATICS: The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 100 meters from its base is 45 degrees. If the angle of elevation of the top of the complete pillar at the same point is to be 60 degrees, then the height of the incomplete pillar is to be increased by how much?

a. 73.21b. 100 c. 173.21d. 26.79

6. HYDRAULICS: A vertical storage tank has a hemispherical bottom and a cylindrical shell of 4m inside diameter and 4m height. It is filled with water. Compute the time it will take to empty the tank through a sharp-edged orifice 15cm in diameter. Located at the lowest point. Assume C=0.6a. 931.821 sb. 900.805 sc. 920.744 sd. 907.191 s

7. FLUID MECHANICS: Gate AB is semicircular, hinged at B, and held by a horizontal force (P) at hinge A. What force P is required for equilibrium.

a. 350 KNb. 258 KNc. 367 KNd. 462 KN

8. SURVEYING: A steel tape is 100 m long at a temp. of 20⁰C and a pull of 10 kg. It was used to measure a distance of 624.95 m at a temp. of 32⁰C with an applied pull of 15 kg during measurement with the tape supported at both ends. Coefficient of thermal expansion is 0.0000116 m⁰C and a modulus of elasticity if 2,000,000 kg/cm2. Weight of tape is 0.04 kg./m and a cross sectional area of 0.06 cm2. Find the computed corrected length of the line by: applying the combined corrections for tension, sag, and temperature.

a. 623.282b. 622.892c. 624. 534d. 624.118

9. HYDRAULICS:

Two Prismatic tanks are communicating by means of an orifice of diameter 2cm. The orifice is located 1m above the bottom.

The water in the left tank A stands 5m while in the right tank B 2m. If the coefficient of discharge of the orifice is 0.60, calculate the time in minutes that will take so that the surfaces in the tanks will be 1m apart.a. 78.18 sb. 77.15 sc. 79.15 sd. 80.11 s

10. MATHEMATICS: A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high by cutting a sector off and joining the edges to form a cone. Determine the angle subtended by the sector removed.

a. 144˚b. 148˚c. 152˚d. 154˚