Reflections: Design Exercise 1
1.050 Solid Mechanics
Fall 2004
Some reections on Design Exercise #1, a non-linear scale for weighing baggage.
Consider the initial state of the system,
before loading the baggage onto the platform
but with the platform, pul
1.050 Solid Mechanics, Fall 2004
Problem Set#2 Solution
Problem 2.1
First, we need to nd the reaction forces at point A and B, we
get that
C
Fy = 0; R A + R B = P
L
2L
M A = 0; R B (2 L ) P ( + x p ) = 0
L
P
D
A
E
y
RB =
60o
x
RA =
P L xp
2 L
B
x
RA
P L +
Problem Set #4 Solution
1.050 Solid Mechanics
Fall 2004
Problem 4.1
An automobile tire normally requires internal pressure from 24-36 psi.
This pressure might be higher under certain situations. We will take an
internal pressure as 32 psi for this problem
Problem Set #10 Solution
Fall 2004
1.050 Solid Mechanics
Problem 10.1
0.571 in
A1
Let A1 and A2 be the cross-sectional areas of the ange
and web respectively. Then we can compute, with the dimensions give, the total area, the weight per unit length (given
1.050 Solid Mechanics, Fall 2004
Problem Set 9 Solution
Problem 9.1
10.086 in
10.244 in
w0 = 1000 lb/ft
A
B
C
L = 10 ft
RA
RB
SFD
Mb(max)
BMD
Figure 1.1
FY
RA
0; R A
RB 1000 10
0
RB
1000 10
RB
5000 lbs
2
M b(max)
5000 5 5000 2.5
12500 lbs - ft
RA
Mb y
I
x
Problem Set #8
Solution
Fall 2004
1.050 Solid Mechanics
Problem 8.1
A solid aluminum, circular shaft has length 0.35 m and diameter 6 mm. How much does one end rotate relative
to the other if a torque about the shaft axis of 10 N-m is applied?
GJ
We turn
Problem Set #5
1.050 Solid Mechanics
Fall 2004
(Due Friday, 15 October)
Problem 5.1
A closed can of soda is under pressure equivalent to that in an automobile tire. We
measured the wall thickness in lab on Thursday to be 0.0025 inches. Estimate the axial
Design Exercise 6
1.050 Solid Mechanics
Fall 2004
You are to design a new experiment for 1.105, one which will demonstrate the effect of an
axial load on the bending stiffness of a beam constrained as shown in the appendix. The proposed experimental set-u
Reflections: Design Exercise 2
1.050 Solid Mechanics
Fall 2004
Reections on Design Exercise #2, a truss design with cost considerations
We consider a series of simple trusses, all spanning the
length L, (L= 20ft.) with diagonals inclined at some angle
the
Reflections: Design Exercise 4
1.050 Solid Mechanics
Fall 2004
A hollow aluminum shaft, two meters long, must transmit a torque of 20 KNm. and
bear a compressive load of 100 KN. The total angle of twist over the full length of the
shaft is not to exceed 2
1.050 Solid Mechanics, Fall 2004
Problem Set#3 Solution
Problem 3.1
Figure 1.1 shows the sketch of a tree trunk with
distributed load w0 as the weight of the trunk +
leaf. In a more realistic form, you can assume that
the distributed load is not uniform w
1.050 Solid Mechanics, Fall, 2004
Problem Set#1 Solution
Problem 1.1
F
F
f
f
W
40
N
40
(a) Push the box up
W
N
(b) Support the box not to slide down
Figure 1.1 (a) and (b) shows the directions of forces acting on the box in both cases.
Case 1: Pushing the
Problem Set #7 Solution
Fall 2004
1.050 Solid Mechanics
Problem 7.1
Three strain gages measure the extensional strain in the three directions 0a, 0b
and 0c at the point 0. Using the relationship we derived in class
PQ = x cos2 + xy cos sin + y sin2
b
a