Deferred Annuity : CE Board 1999
The maintenance cost of a newly acquired equipment
is P40,000 per year for the first 5 years, P60,000 per year for the next 5
years and cost of overhaul at the end of the 5th year and 8 year is P140,000.
Find the equivalent uniform annual cost of maintenance if money is worth 6%
compounded annually.
a. P74,701.81
b. P70,779.36
c. P77,811.43
d. P79,228.09
Solution:
Plane Geometry: CE 1997 - How to determine the length of the third side of a Triangle
In a triangle BCD, BC = 25 m and CD = 10 m. The perimeter of the triangle may be
a. 69 m
b. 70 m
c. 71 m
d. 72 m
Note:
The sum of the lengths of any two sides of the triangle is greater than the length of the third side.
BC + CD > DB
25 + 10 > DB
35 > DB
The difference of the lengths of any two sides of the triangle is less than the length of the third side.
BC - CD < DB
25 - 10 < DB
15 < DB
Therefore 15 < DB < 35
a. 69 m
BC + CD + DB = 69
25 + 10 + DB = 69
DB = 34 m (the third side of the triangle)
The perimeter of the triangle is 69 m
b. 70 m
BC + CD + DB = 70
25 + 10 + DB = 70
DB = 35 m
c. 71 m
BC + CD + DB = 71
25 + 10 + DB = 71
DB = 36 m
d. 72 m
BC + CD + DB = 72
25 + 10 + DB = 72
DB = 37 m
Statics: CE Nov. 2010 - Two tension wires are supported by a concrete block
Two tension wires are supported by a concrete block attached to an anchor ring as shown in the figure.
1. Which of the following most nearly gives the resultant force in the anchor ring?
a. 7.28 KN c. 9.07 KN
b. 10.42 KN d. 5.16 KN
2. Which of the following most nearly gives the angle that the resultant force makes with the horizontal?
a. 43.67° c. 39.55°
b. 53.17° d. 48.72
For #1
→+ΣFx (horizontal)
Rx = -7cos15° + 3.5cos30° = -3.7304 = -3.73 KN
↑+ΣFy (vertical)
Ry = 7sin15° + 3.5sin30° = 3.5617 = 3.562 KN
Use the Pythagorean Theorem
R² = Rx² + Ry²
R² = (-3.73)² + (3.562)²
R = 5.16 KN
For #2
tan θ = |Ry/Rx|
tan θ = |3.562/-3.73|
θ = 43.67°
θ = |tan-1(3.562/-3.73)|
θ = 43.67°
A Guide to the Project Management Body of Knowledge (PMBOK Guide)
The PMBOK (R) Guide – Fourth Edition continues the tradition of excellence in project management with a standard that is even easier to understand and implement, with improved consistency and greater clarification.
- -Standard language has been incorporated throughout the document to aid reader understanding.
- -New data flow diagrams clarify inputs and outputs for each process.
- -Greater attention has been placed on how Knowledge Areas integrate in the context of Initiating, Planning, Executing, Monitoring & Controlling, and Closing process groups.
- -Two new processes are featured: Identify Stakeholders and Collect Requirements.
Engineering Mechanics: STATICS (Solution Manual)
Over the past 50 years, Meriam & Kraige's Engineering Mechanics: Statics has established a highly respected tradition of excellence--a tradition that emphasizes accuracy, rigor, clarity, and applications. Now in a Sixth Edition, this classic text builds on these strengths, adding a comprehensive course management system, Wiley Plus, to the text, including an e-text, homework management, animations of concepts, and additional teaching and learning resources. New sample problems, new homework problems, and updates to content make the book more accessible.
The Sixth Edition continues to provide a wide variety of high quality problems that are known for their accuracy, realism, applications, and variety motivating students to learn and develop their problem solving skills. To build necessary visualization and problem-solving skills, the Sixth Edition continues to offer comprehensive coverage of drawing free body diagrams-- the most important skill needed to solve mechanics problems.
Engineering Mechanics 3Ed - K. L. Kumar
Engineering is an activity concerned with the creation of new systems for the benefit of mankind. The process of creativity proceeds by way of research, design and development; new systems emerge from innovation and systems may be constituted by mechanical, electromechanical, hydraulic. thermal or other elements. Creation of new systems is thus basic to all engineering. The Living Webster Encyclopedic Dictionary aptly defines engineering as the art of excelling a partial application of scientific knowledge.
lt is important to understand the difference between engineering and science. Science is concerned with a systematic understanding and gathering of the facts, laws and principles governing natural phenomena. Engineering, on the other hand, is an art of utilisation of the established facts, laws and principles to create certain desired phenomena. The activities of science and engineering arc thus mutually opposite. Both may proceed through similar ways and means of analysis and synthesis but are oppositely directed. The training of scientists and engineers should be correspondingly designed for their respective objectives.