Engineering Calculations PDF

The total estimated electrical works cost of a building usually account for. 0.08 A pitot tube is used to measure velocity of flow It is used to determine the grain size distribution of coarse-grained soil. Sieve Analysis The standard lane widths for rural traveled lanes 2.5 m Find the surface a...

The total estimated electrical works cost of a building usually account for. 0.08 A pitot tube is used to measure velocity of flow It is used to determine the grain size distribution of coarse-grained soil. Sieve Analysis The standard lane widths for rural traveled lanes 2.5 m Find the surface area generated by rotating the parabola y = x2 about the x – axis from x = 0 to x = 1 5.33 The cantilever beam is loaded by three forces and a couple. Which of the following gives the value of the resultant for the given loads. MISSING FIGURE The shrinkage factor of compaction for earthworks is ______. 25% Find the area of the region included between 4y = 3x2 and the line 3x – 2y + 12 = 0. 27 From the given shear diagram shown, which of the following gives the location of point of inflection from the left end. MISSING FIGURE Find the slope of the curve y = x2(x+2)3 at point (1, 2). 81 Drought occurs on time scales of _____. year A wood beam carries the loading shown in the figure. Determine the smallest allowable width _b_ of the beam if the working stress in bending is 10 MPa. MISSING FIGURE ASTM standard for slump test. ASTM C143 What is the sum of all possible solutions for x of the equation x( x – k ) = k + 1? -k To estimate a 100-year flood, the period of reliable, homogeneous streamflow record should be at least 50 years A man weighing 70 kg is in an elevator moving upward with an acceleration of 2.5 m/s2. What pressure does he exert on the floor of the elevator? 87.8 Christine mae is 7 years older than Vienah. In three years, Christine mae will be twice as old as Vienah. Find the sum of their present ages. 15 The ratio of the volume of water in the void spaces to the volume of the voids. It is simply the measure of the void volume that is filled by water, expressed as percentage ranging from 0 to 100. Degree of Saturation From the given beam in the figure, using a uniform live load of 18 kN/m and a concentrated live load of 90 kN. Compute the maximum positive moment at C using influence line in each case. MISSING FIGURE Is defined aa the ratio between the grain diameter (in millimeters) corresponding 60 percent passing on the curve (D60) divided by the diameter of the 10 percent (D10) passing. Coefficient of Uniformity "A circular punch 20 mm in diameter is used to punch a hole through a steel plate 10 mm thick. If the force necessary to drive the punch through the metal is 250 kN, determine the maximum shearing stress developed in the material." 398 MPa A firefighter with a mass of 70 kg slides down a vertical pole, accelerating at 2 m/s². The force of friction that acts on the firefighter is 540 N The total estimated electrical works cost of a building usually account for. 0.08 A wood beam carries the loading shown in the figure. Determine the smallest allowable width _b_ of the beam if the working stress in bending is 10 MPa. MISSING FIGURE A syphon is used ________________. to connect water reservoirs at different levels intervened by a hill A 120 kg man walks on a 4 m. plank resting on rough surfaces at A and B. Given: Coefficient of friction at A = 0.40 and Coefficient of friction at B = 0.20.At what distance x will the plank start to slide? 2.32 When external vibrator is to be used in concrete, the frequency shall be _______________. 4 turns 3600 vibrations per minute or higher The sum of two numbers multiplied by the sum of their squares is 5500. Their difference multiplied by the difference of their squares 352. Find the product of the two numbers. 117 The radius of a sphere decreases from 6.0 cm to 5.96 cm. Determine the approximate change in the surface area. - 6.03 cm2 A rectangular box is to have a square base and an open top, and is to be constructed from 75 sq.m. of material. If the volume is to be as large as possible, what should be the height of the base? 2.5 From the given beam in the figure, using a uniform live load of 18 kN/m and a concentrated live load of 90 kN. Compute the maximum reaction at D using influence line in each case. MISSING FIGURE For the beam loaded as shown below, determine the maximum moment. MISSING FIGURE Find the area of the region bounded by the graphs of y2 = x and y = x2. 1/3 John died 125 years after Paul was born. The combined years of their complete lives were 103 years. If Paul died in 1960, in what year was John born? 1982 It is the test to determine the grain size distribution of the soils passing the No. 200 sieve. Hydrometer Analysis The flywheel of a puncher is to be brought to a complete stop in 8 seconds from a speed of 60 revolutions per minute. Compute the number of turns the flywheel will still make if its deceleration is uniform. 4 turns Bernoulli's equation assumes that _______________. All of the above The total pressure force on a plane area is equal to the area multiplied by the intensity of pressure at its centroid, if _____________. All of the above A river basin is the __________. Choose the best answer. collective grouping of all watersheds that compose a major river system In a detailed estimate the provision for contingencies is usually 3 TO 5% Find the arc length of the portion of the curve y = x2 from x = 0 to x = 1. 1.4789 The standard lane widths for rural lanes adjacent. 3.7 m A bowling ball at a height of 36 meters above the ground is falling vertically at a rate of 12 meters per second. Which of these best describes its fate? It will hit the ground in exactly three seconds at a speed of 12 m/s. What is the most common cause of pollution of streams, rivers, and oceans? Choose the best answer. Surface water running off yards, city streets, paved lots, and farm fields The cylinder shown are equal in diameter and have weights as indicated. Which of the following gives the value of the reaction between the two cylinders MISSING FIGURE A closed box with a square base has a volume of 100 in3. Compute the rate of change of its surface area with respect to its base dimension x when x = 5. 4 What is the fourth term in the expansion of (3x-2)10? -2099520x7 A centerline is used to separate opposite traffic movements of an undivided roadway and is generally placed centrally on all roads and bridges ______ m. or more in width. 6 m. Which of these is the best description of the trajectory of a projectile shot from the top of a high cliff at an angle of 60° below the horizontal (neglecting air resistance)? The projectile will gradually arc downward, following the curve of a parabola The thickness of a sharp crested weir is kept less than one-half of the height of water on the sill A pin-connected circular arch supports a 50 kN vertical load as shown in the figure. Neglecting the weights of the members. Which of the following gives the shear force that act on the cross section at 1-1. MISSING FIGURE Using the method of composite areas, determine the area of the figure shown. MISSING FIGURE According to Newton's First Law of Motion, an object at rest always remains at rest. It is the distribution in the particle size of the soil. Gradation The ratio of the volume of void space to the volume of solid substance. Porosity Hand mixing of concrete should be limited to batches of _____ volume or less. 0.25ft3 The horizontal steel rod, 2.5 m long and 1200 mm2 in cross-sectional area, is secured between two walls as shown in the figure. If the rod is stress-free at 20°C, compute the stress when the temperature has dropped to -20°C. Assume that the walls do not move. MISSING FIGURE Unit of kinematic viscosity is m2/sec "A ball is thrown horizontally with a speed of 25 m/s from the top of a tower 20 meters high. Assuming level ground below and negligible air resistance, what will be the magnitude of the vertical velocity component when the ball hits the ground?" 20 m/s "Figure shows a circular steel plate supported on 3 posts. A, B and C which are equally spaced along its circumference. A load W = 1350 N is at a distance x = 0.5 m. from the post at A along the x-axis. Diameter of steel plate is 1.8 m. Find the reaction at post A. Neglect weight of the steel plate." MISSING FIGURE It is the distribution in the particle size of the soil. Gradation A ball is thrown vertically upward with an initial velocity of 3m/s from the top of a tall building. The ball strikes the ground 4 seconds later. Determine the velocity of the ball as it strikes the ground. 36.20 m/s Find the value of x if 2 = ?? "The horizontal steel rod, 2.5 m long and 1200 mm2 in cross-sectional area, is secured between two walls as shown in the figure. If the rod is stress-free at 20°C, compute the stress when the temperature has dropped to -20°C. Assume that the walls do not move." 93.6 MPa The area bounded by the curve y2 = 12x and the line x = 3 is revolved about the line x = 3. What is the volume generated? 181 "A driver traveling at 50 mph sees a wall at a certain distance ahead. The driver applies the brakes immediately (perception time is 3 seconds) and begins slowing the vehicle at 6 m/s2. If the distance from the stopping point to the wall is 12 m, how far was the car from the wall upon perception?" 120.74 Find the arc length of the portion of the curve y = x2 from x = 0 to x = 1. 1.4789 Generally the unit of measurement for partition wall is ______. square meter Find the equation of the tangent to the graph of f(x) = - x2 + 6x at (4, f(4)). y = - 2x + 16 One cubic meter of mild steel weighs about _______. 7850 kg Number of concrete hollow blocks of size 150 x 200 x 400mm required for 2.5m height and 40m length masonry fence is _______. 1250 pcs The quantity of concrete hollow block per square meter is 12.5 The standard lane widths for rural traveled lanes. 2.5 m If the volume of a liquid weighing 3000 kg is 4 cubic metres, 0.75 is its specific gravity A book is at rest on top of a table. Which of the following is correct? The book is in equilibrium. What is the fourth term in the expansion of (3x-2)10? -2099520x7 The parabolic cable shown carries a uniform horizontal load of 20 kN/m. Compute the value of "a" MISSING FIGURE Locate the x-coordinate of the centroid of the area bounded by the curve 5y2 = 16x and y2 = 8x – 24 on the first quadrant. 2.2 Hand mixing of concrete should be limited to batches of _____ volume or less. 1.4ft3 A pin-connected circular arch supports a 50 kN vertical load as shown in the figure. Neglecting the weights of the members. Which of the following gives the bending moment that act on the cross section at 1-1. MISSING FIGURE The radius of a sphere decreases from 6.0 cm to 5.96 cm. Determine the approximate change in the surface area. -6.03 cm2 To estimate a 100-year flood, the period of reliable, homogeneous streamflow record should be at least _____. Choose the best answer. 50 years Is defined aa the ratio between the grain diameter (in millimeters) corresponding 60 percent passing on the curve (D60) divided by the diameter of the 10 percent (D10) passing. Coefficienf of Uniformity A circular punch 20 mm in diameter is used to punch a hole through a steel plate 10 mm thick. If the force necessary to drive the punch through the metal is 250 kN, determine the maximum shearing stress developed in the material. 398 MPa The parabolic cable shown carries a uniform horizontal load of 20 kN/m. Compute the value of "a". MSSING FIGURE "Ball B has a mass of 0.75 kg and is moving forward with a velocity of 4 m/s when it strikes a 2 kg block A, which is originally at rest. If the coefficient of restitution between the ball and the block is 0.60 and the coefficient of friction between block A and the surface is 0.4. What is the velocity of the block after collision?" 0.66 m/s The process of evaluating cost of construction of a project is called _______. estimate Bernoulli's equation assumes that _______________. all of the above The ratio of the volume of void space to the volume of solid substance. Void Ratio The annual maximum daily flow is a flow that represents the _____. Choose the best answer. greatest of the average daily flow values for the year Find the nearest distance from the point (16, 0) to the parabola y2 = 16x. 13.85 In a detailed estimate the provision for contingencies is usually _________. 3 to 5% The total pressure force on a plane area is equal to the area multiplied by the intensity of pressure at its centroid, if _____________. all of the above A bullet weighing 0.30 N and moving at 660 m/s penetrates a 50 N body and emerges with a velocity of 180 m/s. If µ = 0.4, how far does the body then move? 1.879 m The beam shown weighs 30 N/m. Which of the following gives the tension force. MISSING FIGURE Before mixing the concrete, the concrete materials must be stored in a room with a temperature ranges from ___________________. 68 to 86 oF A centerline is used to separate opposite traffic movements of an undivided roadway and is generally placed centrally on all roads and bridges ______ m. or more in width. 6 The parabolic cable shown carries a uniform horizontal load of 20 kN/m. Compute the tension of the cable at A. MISSING FIGURE Find the area bounded by the curve 2x2 + 4x + y = 0 and the line x + y = 0. 9/8 The thickness of a sharp crested weir is kept less than one-half of the height of water on the sill One cubic meter of mild steel weighs about _______. 7850 kg SIMPLIFY: ???? THE WAT, undefined akong answer Roads where speed limit is 60 kph or less. circumferential roads A book is at rest on top of a table. Which of the following is correct? The book is in equilbrium Find the value of x if 2 = WALAY EQUATION (2) "Two 1.5-mm-thick strips of titanium alloy 45 mm wide are joined by a 45° laser weld as shown in the figure. If the allowable shearing stress in the alloy is 440 MPa and the joint is assumed to be 100 percent efficient, determine the maximum allowable force _P _that may be applied." 59.4 kN The annual maximum daily flow is a flow that represents the _____. Choose the best answer. greatest of the average daily flow values for the year Find the tenth term in the expansion WALAY EQUATION (4330260x5) The standard lane widths for parking lanes for rural and urban lanes. 2.5 m Using the method of composite areas, determine the area of the figure shown. MISSING FIGURE From the given beam in the figure, using a uniform live load of 18 kN/m and a concentrated live load of 90 kN. Compute the maximum negative shear at C using influence line in each case. MISSING FIGURE The overhanging beam in the figure carries two uniformly distributed loads and a concentrated load. Neglecting the weight of the beam, determine the distance of the first point of inflection from A. MISSING FIGURE The color used in hazard markers to warn road users at locations where the protruding objects such as bridge, piers, traffic islands and other permanent objects on or near the roadway. yellow The parabolic cable shown carries a uniform horizontal load of 20 kN/m. Compute the tension of the cable at C. MISSING FIGURE Find the equation of the tangent to the graph of f(x) = - x2 + 6x at (4, f(4)). y = - 2x + 16 Mix concrete in a suitable mixer or by hand in batches of such size as to leave about _________________ excess after molding the test specimens. 10% "A pin-connected circular arch supports a 50 kN vertical load as shown in the figure. Neglecting the weights of the members. Which of the following gives the shear force that act on the cross section at 1-1. Select one:" MISSING FIGURE Unit of kinematic viscosity is ___________. m2/sec A firefighter with a mass of 70 kg slides down a vertical pole, accelerating at 2 m/s². The force of friction that acts on the firefighter is ___________. 560 N Which of these is the best description of the trajectory of a projectile shot from the top of a high cliff at an angle of 60° below the horizontal (neglecting air resistance)? The projectile will gradually arc downward, following the curve of a parabola "A river is 1 mile wide. Frank wants to get from point A to point B on the opposite side of the river, 3 miles downstream. If Frank can run 5 miles per hour and can swim 3 miles per hour, what is the least amount of time in which he can get from A to B?" 52 minutes "A basketball is tossed from A (1.5 m above the ground) at an angle of 30° from the horizontal. Find the speed at which the ball is released in order to make the basket at B (4.5 m above the ground and a horizontal distance of 8 m from A). " 16.08 m/s When larger rod is to be used in tamping a concrete, the rod is approximately _____ long. The concrete specimen must be removed from the mold ________ after casting. 20 + 4hrs