IE6200
Sample Test 3 Solutions
October 27, 2017
1. Use the z-table, find the value of z that satisfies the following properties
(a) P (Z z) = 0.8238 z = 0.93
(b) P (|Z| z) = 0.95
0.95
P (Z z)
=
P (|Z|
IE6200
Sample Test 3
October 27, 2017
1. Use the z-table, find the value of z that satisfies the following properties
(a) P (Z z) = 0.8238
(b) P (|Z| z) = 0.95
2. Let X be a normal random variable wit
Homework #7 - - DUE: Tuesday, November 14
November 3, 2017
Name:
1. In trying to assess the
been made:
89.9
97.4
85.7
accuracy of a GPS receiver, 30 observations of position errors (in centimeters) ha
IE6200
Homework #8 - - DUE: Tuesday, November 14
November 3, 2017
Name:
1. (a) Find P (T < 2.365) when = 7.
(b) Find P (T > 1.318) when = 24.
(c) Find P (1.356 < T < 2.179) when = 12.
(d) Find P (T >
Calculate the shear force at right hand side of the point O as follows:
Substitute
for
Chapter 3, Problem 8P
.
Calculate the shear force at left hand side of the point A as follows:
Calculate the shea
Calculate the bending moment at point C as follows:
Chapter 3, Problem 8P
Substitute
for
.
Obtain the point at which the maximum bending moment occurs in the region CD.
The maximum bending moment occu
Chapter 3, Problem 8P
Comment
Step 3 of 8
Draw the free body diagram of loaded beam BCD as follows:
Comment
Step 4 of 8
Apply the equilibrium conditions to the beam as follows:
Calculate the forces al
Chapter 2, Problem 28P
From the list of materials given, a higher strength aluminum alloy has the greatest potential,
followed closely by high carbon heat-treated steel. Tungsten carbide is clearly no
Chapter 3, Problem 6P
Comments (1)
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Chapter 2, Problem 22P
Here the measured weight is W, the area of material is A and the length of material is L.
Substitute,
for W,
for d, 36 in. for L
This weight value is approximately equal to unit
Chapter 2, Problem 29P
From the list of materials given, aluminum alloys are clearly the best followed by steels and
tungsten carbide. Polycarbonate polymer is not a good choice compared to the other
Step 3 of 4
Calculate the shear force at different cross sections along the length of the beam.
Chapter 3, Problem 6P
Calculate the shear force at point C.
Calculate the shear force at point B.
Calcul
Step 2 of 4
Draw a force triangle using the reaction forces.
Chapter 3, Problem 3P
Comment
Step 3 of 4
Apply Lames theorem to the right angle force triangle.
(1)
Consider the first two terms of equat
(
Brass
)
0.309
Chapter 2, Problem 23P
Copper
0.322
Bronze
0.295
Stainless steel 0.280
Step 2 of 4
After performing these three tests weight or bending test is done to check the density or
modulus of
(
Brass
)
0.309
Chapter 2, Problem 21P
Carbon steel
0.282
Nickel steel
0.280
Stainless steel 0.280
Step 2 of 4
After performing these three tests weight or bending test is done to check the density or
Taking the Moments about point O
Chapter 3, Problem 1P
Reaction at point B,
Comment
Step 3 of 4
And
Reaction at point C,
Comment
Step 4 of 4
From the equation (1)
Reaction at point O,
Comment
Was this
Replace the value of
Chapter 2, Problem 32P
. (2)
Equate equation (1) and (2)
Area equation is:
. (3)
Here the stiffness constant is k and is the youngs modulus E.
Comment
Step 3 of 4
Mass of the mate
Step 3 of 6
Chapter 3, Problem 5P
From equation (1)
Comment
Step 4 of 6
Shear force calculations:
Shear force at point C,
Shear force at point B,
Shear force at point A,
Shear force at point O,
Commen
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CLASS TIME (ch: one): INSTRUCTOR:
/./Consider the beam below with the concentrated load of 10 kN and the distributed load where MA
kN/m: '
)\ a. (2 points) Draw a fre
Determine the forces exerted on member
ABC at A and C.
(To 10e it;
Solution: We start with the free-body diagram of the entire l'mme.
'I\vo or the equilibrium equations [or the whole frame are
2F, :A