Problem 5.1
Given q = 200 N/m, consider the internal loads (shear force and bending moment) at the cross-section
located 2 m from the left end. Determine the internal loads by (a) nding the support reaction and then
isolating the segment from x = 0 to x =

Problem 2.58
12 ft
The shear strain in the concrete slab must remain below
0.4%. The left side displaces downwards by 0.25 in. Determine the range of displacements, up and down, that can
be permitted on the right side.
10 ft
SOLUTION
From the conditions s

Problem 4.83
T1
A
y
T2
B
L1
C
L2
z
x
T3
D
L3
The steel shaft (G = 11.5 106 psi and diameter 0.75 in.) is
supported at A, and is subjected to torques T 1 = 600 lb-in.,
T 2 = 300 lb-in., and T 3 = 100 lb-in. applied at the cross-sections
B, C , and D. Deter

Problem 3.62
A
L1
C
L3
L3
L2
The bar ACB of length L1 + L2 is subjected to an axial load F0 .
The bar has a modulus of Eb and an area of Ab . In order to reduce
the deection of the end B (raise the eective stiness), the bar
is connected at C to an eective

Problem 8.4
F0
L2
L1
L3
Strut
The shelf shown is supported by two aluminum struts, one on
each side. The struts are h = 20 mm wide, but the thickness is
to be determined. Say the shelf is to support a maximum load
at the end of F0 = 2000 N. Determine the

Problem 2.9
The sudden loss of a wind turbine blade produces a tangential force
Ftang = 50 kN on the blades. Take the height h = 70 m, and the blades to
be located s = 5 m from the tower axis. Determine the resulting internal
loads in the cross-section of

Problem 3.1
L
Piles are used to support structures on soft soil. In some cases,
the lower ends of piles rest on rm ground (end-bearing piles).
Load from the soil to the side of the pile is then often neglected,
and the pile is just compressed by forces at

Problem 4.5
The shaft twists due to two equal and opposite torques applied to its ends. Point C displaces 0.2 mm in
the x-direction. Point B displaces 0.1 mm in the +y-direction. Determine the direction and magnitude
of the displacement of point A.
A
150

Problem 5.60
A
B
C
D
E
30 mm
z
20 mm
x
y
The bar shown is 20 mm 30 mm 80 mm. The deformed
shape of the bar is indicated, the curvature is = 102 m1 , and
the elastic modulus is 200 GPa. Points A, C , and E are located
at the edges, and points B and D are l

Problem 5.190
q
The beam has uniform bending stiness EI . Use the method of
integration to determine the deection and the slope as functions
of x.
L
x
SOLUTION
q
RA
RB
L
q ( x) = q
( x)
L
Solving for the moment we have
M |B = 0
M |B = q
(L) (L)
2
RA =
3

Problem 7.18
b
35
75
c
40
25
y
a
x
Given a polygon, with surfaces a, b, c, and d, and the shear and
normal stresses drawn in particular senses on each surface, identify the angle of each face and whether stresses and on each
are > 0 or < 0.
d
SOLUTION
Rec

Problem 7.126
The maximum stress in the aluminum bar is not to exceed 15 ksi.
The plate has widths of a = 4.5 in. and b = 3 in., and a thickness of t = 0.3 in. The llet radius is r = 1 in. Determine the
maximum allowable axial force P.
P
b
a
r
P
t
SOLUTIO

Quiz #2 B
24-261 Statics
Nov. 8, 2001
Name_
Complete free body diagrams and equations should be shown. Include all your
calculations on these pages.
20 25
cm cm
1. (35 points) In the hand press shown, a
200 N force is applied to the lever,
which drives a

Quiz #2 A
24-261 Statics
Nov. 8, 2001
Name_
Complete free body diagrams and equations should be shown. Include all your
calculations on these pages.
15 20
cm cm
1. (35 points) In the hand press shown, a
120 N force is applied to the lever,
which drives a

Quiz #1 B
24-261 Statics
Name_
October 4, 2001
Section_
Include all your calculations on these pages. While there should be no ambiguities, just
proceed as you see fit if you have any uncertainties. We are looking to see if you know
how to do these kinds

Quiz #1 A
24-261 Statics
Name_
October 4, 2001
Section_
Include all your calculations on these pages. While there should be no ambiguities, just
proceed as you see fit if you have any uncertainties.
1. (30 points) The force has a magnitude of
100 N and ac

U71 047/5 /
Exam #3 v'émb'er 9 2000 Name
24261 Statics Section
This is a closed book examination. Useful formulas may be found on the nal page.
Notice that most oftlie credit is for the rst three problems. Solve those problems to the
best of your abilit

Below are four questions from last years quizzes.
1. (20 points) The solid steel shaft
shown has a diameter of 4 and is
subjected to the three external
twisting moments (each in lb-in).
(i)
(ii)
Determine the shear stress at
the surface of the shaft at a

Below are questions from various previous examinations.
The solutions can also be downloaded from the web.
I would say the Supplementary Statics problems are also good practice.
Use these problems at your own risk. The actual topics covered by any particu

Topics Covered in Lecture
These notes are intended to serve as a reminder of the key points covered in lecture. They
are a supplement to lecture and do not replace it.
Lecture 1 (August 28):
? General introduction to course
?
? Definitions of directions o