American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME 1300: Statics Tutorial 10 1. A concrete pedestal (see figure) of circular cross section has an upper part of diameter 0.5 m and height a=0.5 m and a lower part of diameter 1.0 m and height b=1.2 m. It is subjected to loads P1=7 MN and P2=18 MN. Assumin
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1300 Statics Tutorial 9 1. Draw the shear and moment diagrams for the beam (a) in terms of the parameters shown; (b) set P=600kN, a=5m, b=7m. Ans= , ,
2. Draw the shear and moment diagrams for the cantilevered beam. Ans= , , ,
3. The suspender bar suppo
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1300 Statics Tutorial 8 1. The compound item beam is fixed at A and supported by a rocker at B and C. There are hinges (pins) at D and E. Determine the reactions at the supports. Ans = 0, 7.5kN, 30kNm, 5kN, 0
2. Determine the horizontal and vertical com
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1300 Statics Tutorial 7 Method of Joints 1. Determine the force in each member of the truss and state if the members are in tension or compression. Set P1= 800kN and P2=400kN. Ans=286kN, 808kN, 571kN
2. Determine the force in each member of the truss an
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1300 Statics Tutorial 6 1. Determine the reactions at the point of contact at A, B and C. Ans = 493N, 554N, 247N
2. Determine the reactions at the pin A and at the roller at B of the beam. Ans = 642N, 192N, 180N
ME1300 Statics Tutorial 6 3. When holding
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1300 Statics Tutorial 5 1. A twist of 4 Nm is applied to the handle of the screwdriver. Resolve this couple moment into a pair of couple forces F exerted on the handle and P exerted on the blade. Answer = 133 N, 800 N
2. The resultant couple moment crea
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1300 Statics Tutorial 4 1. Determine the moment about point B of each of the three forces acting on the beam. Answer =825 Nm, 400 Nm, 8 Nm
2. If FB = 150 N and FC = 224 N, determine the resultant moment about the bolt located at A. Answer = 237.5 N
3. D
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1300 Statics Tutorial 3 1. The device shown is used to straighten the frames of wrecked autos. Determine the tension of each segment of the chain, i.e., AB and BC, if the force which the hydraulic cylinder DB exerts on point B is 3.50 kN, as shown. Answ
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1300 Statics Tutorial 1 1. Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive x axis. Answer =108 N
2. Resolve the force F2 into components acting along the u and v axes and determi
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1300 Statics Tutorial 2 1. A position vector extends from the origin to point A(2 m,3 m,6 m). Determine the angles , , which the tail of the vector makes with the x,y,z axes, respectively. Answer: = 73.4 o , = 64.6 o , = 31.0 o 2. Express the position v
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
MOMENTS OF INERTIA (Chapter 10)
APPLICATIONS
Many structural members like beams and columns have cross sectional shapes like I, H, C, etc. Why do they usually not have solid rectangular, square, or circular cross sectional areas? What primary property of
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
CENTER OF GRAVITY AND CENTROID (Chapter 9)
APPLICATIONS
To design the structure for supporting a water tank, we will need to know the weights of the tank and water as well as the locations where the resultant forces representing these distributed loads ar
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
FRICTION (Sections 8.1  8.2)
APPLICATIONS In designing a brake system for a bicycle, car, or any other vehicle, it is important to understand the frictional forces involved.
For an applied force on the brake pads, how can we determine the magnitude and d
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
INTERNAL FORCES (Section 7.1)
APPLICATIONS
These beams are used to support the roof of this gas station. Why are the beams tapered? Is it because of the internal forces? If so, what are these forces and how do we determine them?
APPLICATIONS (continued) A
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
TRUSSES METHODS OF JOINTS
APPLICATIONS
Trusses are commonly used to support a roof. For a given truss geometry and load, how can we determine the forces in the truss members and select their sizes? A more challenging question is that for a given load, how
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
EQUILIBRIUM OF A RIGID BODY
APPLICATIONS
A 200 kg platform is suspended off an oil rig. How do we determine the force reactions at the joints and the forces in the cables? How are the idealized model and the free body diagram used to do this? Which diagra
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
MOMENT OF A FORCE (Section 4.1) Todays Objectives : Students will be able to: a) understand and define moment, and, b) determine moments of a force in 2D and 3D cases.
Moment of a force
APPLICATIONS
What is the net effect of the two forces on the wheel?
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
EQUILIBRIUM OF A PARTICLE IN 2D Todays Objectives: Students will be able to : a) Draw a free body diagram (FBD), and, b) Apply equations of equilibrium to solve a 2D problem.
APPLICATIONS
For a spool of given weight, what are the forces in cables AB and
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
Todays Objective: Students will be able to use the dot product to a) determine an angle between two vectors, and, b) determine the projection of a vector along a InClass Activities: specified line. Check homework Reading quiz Applications / Relevance Dot
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
POSITION & FORCE VECTORS (Sections 2.7  2.8) Todays Objectives: Students will be able to : a) Represent a position vector in Cartesian coordinate form, from given geometry. b) Represent a force vector directed along a line.
APPLICATIONS
How can we repres
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
3 D VECTORS (Section 2.5) Todays Objectives: Students will be able to : a) Represent a 3D vector in a Cartesian coordinate system. b) Find the magnitude and coordinate angles of a 3D vector c) Add vectors (forces) in 3D space
APPLICATIONS
Many problems
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
2D VECTOR ADDITION Todays Objective: Students will be able to : a) Resolve a 2D vector into components b) Add 2D vectors using Cartesian vector notations.
APPLICATION OF VECTOR ADDITION
There are four concurrent cable forces acting on the bracket. How d
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
STATICS, UNITS, CALCULATIONS & PROBLEM SOLVING Todays Objectives: Students will be able to: a) Identify what is mechanics / statics. b) Work with two types of units. c) Round the final answer appropriately. d) Apply problem solving strategies.
WHAT IS MEC
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1331 Problem Sheet 4
Dr. M. K. Darwish
1)
A 230 V motor has an armature circuit resistance of 0.6 . If the fullload armature current is 30 A and the noload armature current is 4 A, find the change in the back e.m.f. from noload to fullload. (15.6 V)
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1331 Problem Sheet 3
Dr. M. K. Darwish 1) Calculate the load current, load voltage, load power, diode power, and total power in the opposite circuit using: (a) Idealdiode approximation. (b) Second approximation. (c) Third approximation where the 1N4001
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1331 Problem Sheet 2
Dr. M. K. Darwish
1)
A 106 F capacitor is connected in series with a 40 resistor across a 250 V, 50 Hz supply. Calculate: (a) the impedance, (b) the current, (c) the power factor (state whether lag or lead).
25 80 F
2)
Calculate, fo
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
ME1331 Problem Sheet 1
Dr. M. K. Darwish
1) abcd
Find the total resistance. Calculate the current I. Determine the voltages V1, V2, and V3. Calculate the power dissipated by R1, R2 and R3. e Determine the power delivered by the source and compare to the
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
Electronic & Computer Engineering, School of Engineering and Design
DC Drives
Controlled Rectifier
D.C Motor
Chopper Drives
D.C Motor
www.brunel.ac.uk/about/acad/sed
Electronic & Computer Engineering, School of Engineering and Design
DC Drives (Controlled
American College of Computer & Information Sciences
2223d
ENG 1333

Spring 2011
Electronic & Computer Engineering, School of Engineering and Design
Elements of a Motion System
Position App Software Voltage Current Motor Mechanical
Motion Controller
Amp/Drive
Feedback Device Position Feedback
www.brunel.ac.uk/about/acad/sed
Electronic