MECHANICAL & AEROSPACE ENGINEERING DEPARTMENT
UNIVERSITY OF CALIFORNIA, LOS ANGELES
MAE 101
STATICS AND STRENGTH OF MATERIALS
SPRING, 2009
INSTRUCTOR
CHATTERJEE, A. K.
FINAL EXAMINATION
June 08, 2009
MAE 101: Statics and Strength of Materials
Fall 2011
Due Wednesday, Nov 9th , 2011
Problem 37. (Problem 8.28 from Bedford et al) The coefcient of static friction between the ladder and
the oor is s =
M A E 101
S ta tic s a n d S tr e n g th o f M a te r ia ls
Lecture 10
C h a p te r 1 0 : A x i a l l y L o a d e d B a r s
R e a d C h a p te r s 9 & 1 0
H o m e w o r k # 6 ( D u e W e d n e s d a y
MAE 101: Statics and Strength of Materials
Fall 2011
Due Wednesday, October 26th , 2011
Problem 28 (Problem 7.49 from Bedford et al) Determine
the reactions ar A and B .
Answer
Ax = 0 Ay = Lwo /6
By =
MAE 101: Statics and Strength of Materials
Fall 2011
Extra Credit, Due Monday, October 24, 2011
EC Problem 1.
The specialized plumbing wrench shown is used in conned areas
(e.g., under a basin or sink
Problem 11.1 A cube of material is subjected to a pure shear stress = 9 MPa. The angle is measured ad determined to be 89.98 . What is the shear modulus G of the material? Diagram:
Solution:
Conver
Problem 3.1 The gure shows the external forces acting on an object in equilibrium. The forces F1 = 32 N and F3 = 50 N. Determine F2 and the angle .
y F1 30
12 F3
F2
x
Solution:
Write the forces
Problem 9.1 The prismatic bar has a circular cross section with 50-mm radius and is subjected to 4-kN axial loads. Determine the average normal stress at the plane P. Free Body Diagrams:
Solution:
Th
MAE 101: Statics and Strength of Materials
September 27, 2011
Problem 1
The unstretched length of the spring AB is 660 mm, and the spring constant k = 1000 N/m. What
is the mass of the suspended objec
Problem 8.1 The coefficients of static and kinetic friction between the 0.4-kg book and the table are s = 0.30 and k = 0.28. A person exerts a horizontal force on the book as shown. (a) If the magnitu
608 CHAPTER 15 Stresses in Beams
15.5 The material of the beam in Problem 15.4 will safely sup-
port a tensile or comprESsive stress of 30,000 psi. Based on this
criterion, what is the largest coupl
Midterm - Solution
1
MAE 101. Statics and Strength of Materials G. E. Orient 2006
Problem 1
The horizontal bar of weight W is supported by a roller support at A and the cable BC. Apply rigorous a
Problem 14.1 In Example 7-1, determine the internal forces and moment at C if the distance from A to C is L/2. Free Body Diagram:
Solution:
We first determine the reactions at the ends of the beam: M
Problem 12.1 The components of plain stress at a point p of a material are x = 20 MPa, y = 0 and xy = 0. If = 45 , what are the stresses x , y and xy at point p?
Using Equation (12-7) to find x : x =
Problem 10.1 A prismatic bar with cross-sectional area A = 0.1 m2 is loaded at the ends in two ways: (a) by 100-Pa uniform normal tractions; (b) by 10-N axial forces acting at the centroid of the bar'
Problem 5.1 The beam has pin and roller supports and is subjected to a 4-kN load. (a) Draw the free-body diagram of the beam. (b) Determine the reactions at the supports. Strategy: (a) Draw a diagram
Problem 6.1 Determine the axial forces in the members of the truss and indicate whether they are in tension (T) or compression (C). Strategy: Draw free-body diagram of joint A. By writing the equilibr
Problem 7.1 If a = 2, what is the x coordinate of the centroid of the area? Strategy: The x coordinate of the centroid is given by Eq. (7.6). For the element of area dA, use a vertical strip of width
Problem 4.1 Determine the moment of the 50-N force about (a) point A, (b) point B.
5m B P 3m A 50 N
Solution: Use 2-dimensional moment strategy: determine normal distance to line of action D; calcula
Problem 2.1 The magnitudes |FA | = 60 N and |FB | = 80 N. The angle = 45 . Graphically determine the magnitude of the sum of the forces F = FA + FB and the angle between FB and F. Strategy: Construct
-l-l-T-Problem
ttl
-r-T-T-
2.cfw_9
of
the
i.16through 2.lg Determine r arfiycomponents eachof the forcesshonm.
-r I | | | | | | | i | | | | | I I I i | | I
r)'
ofr= / f3 >o't
?6C -N Foat r , (onf = ps
6.1 through 6.18 Using the method ofjoints, determinethe force in eachmember
of the ffuss shown. Statewhether each member is in tension or compression.
-8
lt
E\=o:
7 lvlu=o:
fl,/F= oi
rillll
JotnT A'-
MAE 101: Statics and Strength of Materials
Fall 2011
Extra Credit, Due Monday, October 24, 2011
EC Problem 1.
The specialized plumbing wrench shown is used in conned areas
(e.g., under a basin or sink
MAE 101: Homework 4 Solution
October 27, 2011
Problem 10.
(Problem 3.11 from Gross et al). A uniform pole (length l, weight G) leans against a corner as
shown in the gure. A rope S prevents the pole f
MAE 101: Statics and Strength of Materials
Fall 2011
Due Monday, October 24th , 2011
Problem 26 Two shafts AC and ED, which lie in the vertical YZ place, are connected by a universal joint
at D. The b
MAE 101
Statics and Strength of Materials
Lecture 5
Friction
Reading: Bedford Ch. 8, Gross Ch. 9
William Klug
Course Outline
Review of Vectors: Components, rules of vector algebra, transformation pro
MAE 101 HW#9
This homework will be due on March 12th
We will collect your homework by the end of the class
Problem 15.23 A beam with the cross section shown is subjected to a shear
force V = 8 kN. Wha
Problem 5.25 The mass of the trailer is 2.2 Mg (mega
grams). The distances (1 = 2.5 m and b = 5.5 m. The
truck is stationary, and the wheels of the trailer can turn
freely, which means that the road e
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Problem 3.31 The forces exerted on the shoes and
back of the 72-kg climber by the walls of the chimney
are perpendicular to the walls exerting them. The tension
in the rope is 640 N. What is the magni