MEM230 Mech.of Matl's CA 7
Name _
1. For the beam shown: a. Draw the complete shear and bending moment diagrams for the beam shown. b. Find the location and magnitude of the maximum bending moment. 2. Normal and shear stresses on horizontal and vertic

of MEM 230 Mechanics Materials Class Assignment# 2
Problem 1.2-10 Solve the precedingproblemif the load P = 32 kN; the cablehaseffective cross-sectional A = 481 mmz;the dimensionsof area the crane are H = 1.6m, Ll = 3.0 m, andLz = 1.5 and the cable m;
Spr

A wood pole of solid circular cross section (d=diameter) is subjected to a triangular distributed horizontal force of peak
intensity q0 = 20 lb/in (see figure). The length of the pole is L = 6 ft, and the allowable stresses in the wood are 1900 psi
in ben

A bridge girder AB on a simple span of length L = 14 m supports a uniform
load of intensity q that includes the weight of the girder (see figure). The
girder is constructed of three
plates welded to form the cross section shown.
Determine the maximum perm

The clamp shown in the figure is used to support a load
hanging from the lower ﬂange of a steel beam. The clamp
consists of two arms (A and B) joined by a pin at C. The
pin has diameter d = 12 mm. Because am 3 straddles
arm A, the pin is in double shear.

A horizontal beam AB supported by an inclined strut CD 4 ft h ,_|
carries a load P = 2500 lb at the position shown in the 733
figure. The strut, which consists of two bars, is connected to C
the beam by a bolt passing through the three bars meeting at
joi

MECHANICS OF MATERIALS MEM230
SOLUTION FOR HOMEWORK ASSIGNMENT NO. 1
Text Book: Mechanics of Materials, by James .M. Gere and Barry J. Goodno
Seventh Edition, Cengage Learning
Content:
A.
Chapter 1: Tension Compression and Shear
A.1 Normal Stress and Stra

Quizz
The drive shaft for a truck (outer diameter 60 mm and inner
diameter 40 mm) is running at 2500 rpm (see figure).
(a) If the shaft transmits 150 kW, what is the maximum shear
stress in the shaft?
(b) If the allowable shear stress is 30 MPa, what is t

Two bars of rectangular cross section (thickness I = 15 mm) are
connected by a bolt in the manner shown in the figure. The P
allowable shear stress in the bolt is 90 MPa and the allowable
bearing stress between the bolt and the bars is ISO MPa.
[fthe tens

The 4 mm diameter cable BC is made of steel with E=200 GPa. Knowing that the maximum
stress in the cable must not exceed 190 MPa and that the elongation of the cable must not
exceed 6mm, find the maximum load P that can be applied as shown.

A hollow steel bar (G =80 GPa) is twisted by torques T. The
twisting of the bar produces a maximum shear strain max =640
x10-6 rad. The bar has outside and inside diameters of 150 mm
and 120 mm, respectively.
(a) Determine the maximum tensile strain in th

J. Awerbuch
MEM 230: Sample Problems on Shear Force and Bending Moment Equations and Diagrams
November 2011
SIMPLY SUPPORTED BEAMS
FUNDAMENTAL - MUST-KNOW - CASES
Three-Point
Bending
y
y
P
A
!
B
L /2
L /2
!
A
RC
!
!
0
!
!
!
!
P
!
RC
!
!
"P
"P
M
!
!
!
Pa

J. Awerbuch
MEM 230: Sample Problems on Shear Force and Bending Moment Equations and Diagrams
Problem No. 8:
III
a. Reactions:
"F
y
November 2011
II
P = qa
M = 4qa 2
!
= 0 : #+ :
I
y
q
!
!
MR
x
RA $ q % (2a) $ qa = 0
RA = +3qa
!
!
D
C
a
A
B
!
a!
2a
RA
x1

J. Awerbuch
MEM 230: Sample Problems on Shear Force and Bending Moment Equations and Diagrams
November 2011
CANTILEVER BEAMS
FUNDAMENTAL - MUST-KNOW - CASES
P
y
y
MR
x
!
A
RA
!
B
L
!
!
!
!
0
M
!
0
0
!
"PL
!
"M 0
!
q
y
!
!
!
M
!
B
L
!
V
0
!
A
RA
V
P
!
x
!

MEM 230
Mechanics of Materials
Fall Term 2010111
October 6, 2010
Class Assignment # 3
ID# _ _ _ _ _ _ _ _ _ _ _ _ _
_ _ _ _ _ _ _ _ _
A beam having a rectangular cross section (with the
dimensions h = 200 mm and b = 100 mm) is
subjected to the following s

rq
MEM 230 Mechanics of Materials Winter Term 2009/10
January 6, 2010
Class Assignment_# 1
'5 .__,_ _v.,- ._'.
Nmned::;_;¢¢gstwh 1D# we. ;,ta
Two forces are applied to the bracket BCD as shown in the Figure.
Determine: d
a. The diameter of ro

MEM 230 Mechanics of Materials
Class Assignment # 3
Name: a‘ s.
A beam having a rectangular cross section (with the
dimensions h = 200 mm and b = 100 mm) is
subjected to the following stress distribution:
OJr = (1,000 + 50- y — 30- z)MPa;
In, = 0;
txz

A rigid triangular frame is pivoted at C and held by two iden-tical horizontal
wires at points A and B (see figure). Each wire has axial rigidity EA = IZO k and
coefficient of thermal expansion 0: = l2.5 >< 1076/01?
(:1) If a vertical load P = 500 lb acts

MECHANICS OF MATERIALS MEM 230
PROBLEMS FOR HOMEWORK ASSIGNMENT NO. 7
Text Book: Mechanics of Materials, by James M. Gere and Barry J. Goodno 7th edition, Cengage Learning
Content:
D
D.1
D.2
Chapter 4: Shear Force and Bending Moments in Beams
Types of Bea