Example1
The compound wooden beam is connected together by a bolt at B. Assuming
that the connections at A,B,C, and D exert only vertical forces on the beam,
determine the required diameter of the bolt at B and the required outer
diameter of its washers i
HOMEWORK 3
Civil and Architectural Engineering
Dr. Onur Avci
CVEN 214 Strength of Materials
Due: March 16, 2014
Q1) See the 14 inch long steel rod shown below. The diameter of the steel rod varies linearly from 1 inch (AT
TOP) to 0.5 inch (IN THE BOTTOM).
Example #1
If the wide-flange beam is subjected to a shear of V = 20
kN, determine the maximum shear stress in the beam.
Solution
Solution
Example #2
The beam is constructed
from four boards which
are nailed together. If the
nails are on both sides of
the
*6188. The beam has a rectangular cross section and is
made of an elasticplastic material having a stressstrain
diagram as shown. Determine the magnitude of the
moment M that must be applied to the beam in order to
create amaximum strain in its outer fibe
Example #1
A spherical gas tank has an inner radius of r = 1.5 m. If it is
subjected to an internal pressure of p = 300 kPa, determine its
required thickness if the maximum normal stress is not to
exceed 12 MPa.
Solution
Example #2
The vertical force P ac
111. The simply supported beam is made of timber that 8 kN/m
has an allowable bending stress of (Tallow : 6.5 MPa and an
allowable shear stress of Tallow : 500 kPa. Determine its
dimensions if it is to be rectangular and have a height-to-
width ratio of 1
QatarUniversity
Dr. OnurAvci,Ph.D.,P.E.
Chapter6:
Bending
Elevation
View:
Top View:
2
3
4
5
6
7
8
9
10
11
12
Example
Draw the shear and moment diagrams for the beam shown.
Solution:
From the free-body diagram of the left segment, we apply the equilibrium
HOMEWORK 7
Civil and Architectural Engineering
Dr. Onur Avci
Spring 2016
CVEN 214 Strength of Materials
Due: May 1, 2016
1)
The I- beam at right is subjected to shear force, V= 5 KN. The flange and web both have a
thickness of 20 mm, the height of the bea
HOMEWORK 6
Civil and Architectural Engineering
Dr. Onur Avci
Spring 2016
CVEN 214 Strength of Materials
Due: April 17th, 2016
Q1. Please see the beam cross section below. Find the value of the stresses at the tip of the cantilever, for points A and B
due
HOMEWORK 5
Civil and Architectural Engineering
Dr. Onur Avci
Question No.1
Spring 2016
CVEN 214 Strength of Materials
Due: March 31, 2016
Question No.2
A solid shaft in a rolling mill transmits 20 kW at 2 Hz. Determine the diameter of the shaft if
the she
Qatar University
Dr. Onur Avci, Ph.D., P.E.
Chapter 11:
Design of Beams and Shafts
2
Basis for Beam Design
A beam that resist both shear and bending stresses
is said to be designed on the basis of strength.
Beams must also be braced along their sides so
Example #1
A member having the dimensions shown is used to resist an
internal bending moment of M = 90 kN.m. Determine the
maximum stress in the member if the moment is applied (a)
about the z axis (as shown) (b) about the y axis. Sketch the
stress distri
HOMEWORK 2
Civil and Architectural Engineering
Dr. Onur Avci
QUESTION 1) wo is 2 kN/m. Draw shear and bending moment diagrams.
CVEN 214 Strength of Materials
Due: March 9, 2014
QUESTION 2) Draw shear and bending moment diagrams.
QUESTION 3) Draw shear and
HOMEWORK 5
Civil and Architectural Engineering
Dr. Onur Avci
Question No.1
Spring 2014
CVEN 214 Strength of Materials
Due: April 6, 2014
Question No.2
A solid shaft in a rolling mill transmits 20 kW at 2 Hz. Determine the diameter of the shaft if
the shea
HOMEWORK 6
Civil and Architectural Engineering
Dr. Onur Avci
1)
Draw shear and bending moment diagrams.
Spring 2014
CVEN 214 Strength of Materials
Due: April 20, 2014
2) Figure P-611 below. Draw shear and bending moment diagrams.
Figure P-611
3)
4)
5)
6)
HOMEWORK 7
Civil and Architectural Engineering
Dr. Onur Avci
Question No.1
Spring 2014
CVEN 214 Strength of Materials
Due: May 4, 2014
Question No.2
A T beam supports the three concentrated loads shown in Fig. Prove that the NA is 3.5 in
above the bottom
HOMEWORK 9
Civil and Architectural Engineering
Dr. Onur Avci
Spring 2014
CVEN 214 Strength of Materials
Due: May 28, 2014, WEDNESDAY
Question No:1
The state of plane stress at a point is represented by the stress element below. Determine the
principal str
HOMEWORK 8
Civil and Architectural Engineering
Dr. Onur Avci
Spring 2014
CVEN 214 Strength of Materials
Due: May 11, 2014
Question No.1
The dimensions of a T- shaped beam and the loads on it are shown in Fig. The horizontal 5000
lb tensile force acts thro
HOMEWORK 10
Civil and Architectural Engineering
Dr. Onur Avci
Question No:1
(see the Appendix of your book for needed items)
Spring 2014
CVEN 214 Strength of Materials
Due: June 4, 2014, WEDNESDAY
Question No:2
Question No:3
Question No:4
Question No:5
Qu
Example1
Determine the resultant
internal normal force
acting on the cross-section
through point A in each
column. In (a), segment BC
weighs 180 lb/ft and
segment CD weighs 250
lb/ft. In (b), the column
has a mass of 200 kg/m.
Solution
+
= 0; 5 3 3 1.8