Problem 3 Draw the shear and moment diagrams for the beam.
Problem 4 Express the internal shear and moment in terms of x and then draw the shear and moment diagrams for
the beam.
Tuesday, November 10, 2015
3:55 PM
Problem 1. The load binder is used to support a load. If the force applied to the handle is
50 lb, determine the tensions T1 and T2 in each end of the chain and then draw the shear
and moment diagrams for the arm ABC.
Ne
Problem 3. The copper pipe has an outer diameter of 2.50 in. and an inner diameter of 2.30 in. If it is tightly
secured to the wall at C and three torques are applied to it as shown, determine the shear stress developed at
points A and B. These points lie
Strength of Materials
ENGI 318
FA 15 Bending
Hctor M. Rodrguez, PhD, PE
Mechanical Engineering Department
Universidad del Turabo
Bending Deformation
Analysis considers symmetrical cross-sectional area (with respect to an axis)
and bending moment about an
Department of Mechanical Engineering
STRENGTH OF MATERIALS - ENGI 318
Problems Chapter 6
Bending
Problem 1. The load binder is used to
support a load. If the force applied to the
handle is 50 lb, determine the tensions T1
and T2 in each end of the chain a
Strength of Materials
ENGI 318
FA 15 Chapter 6
Bending
Bernardo Restrepo, PhD, PE
School of Engineering
Mechanical Engineering Department
Universidad del Turabo
Chapter 6: Bending
Beams
3
Boundary Conditions (Supports)
4
Sign Convention
5
Graphical Method
Problem 1. The 2014-T6 aluminum rod AC is reinforced with the firmly bonded A992 steel tube BC. When no load is
applied to the assembly, the gap between end C and the rigid support is 0.5 mm. Determine the support reactions
when the axial force of 400 kN
Problem 5. The assembly consists of two 10-mm diameter red brass C83400 copper rods AB and CD, a 15-mm
diameter 304 stainless steel rod EF, and a rigid bar G. If P = 5kN, determine the horizontal displacement of end F of
rod EF.
Problem 6 The load is supp
Strength of Materials
ENGI 318
(Credits 3)
TORSION
FA 15
Instructor:
Bernardo Restrepo, PhD, PE
School of Engineering
Mechanical Engineering Department
Universidad del Turabo
Objectives
After successful completion of this course
the student shall be able
Problem 1. The A-36 solid steel shaft is 3-m long and has a diameter of 50-mm. It is required to transmit 35
kW of power from the engine E to the generator G. Determine the smallest angular velocity the shaft can have
if it is restricted not to twist more
Department of Mechanical Engineering
STRENGTH OF MATERIALS - ENGI 318
Problems Chapter 5
Problem 1. The A-36 solid steel shaft is 3-m
long and has a diameter of 50-mm. It is
required to transmit 35 kW of power from
the engine E to the generator G. Determi
Department of Mechanical Engineering
STRENGTH OF MATERIALS - ENGI 318
Problems Chapter 5
Problem 2. The solid shaft is fixed to the
support at C and subjected to the torsional
loading shown. Determine the shear stress
at points A and B and sketch the shea
Problem 1. The A992 steel rod is subjected to the loading shown. If the cross-sectional area of the rod is
60mm2, determine the displacement of B and A, Neglect the size of the couplings at B, C, and D. Neglect
the rods weight.
Problem 2. The copper shaft
Torsion
Problem 2. The solid shaft is fixed to the support at C and subjected to the torsional loading shown.
Determine the shear stress at points A and B and sketch the shear stress on volume elements located a these
points.
Problem 3. The copper pipe ha
Strength of Materials
ENGI 318
(Credits 3)
AXIAL LOAD
FA 15
Instructor:
Bernardo Restrepo, PhD, PE
School of Engineering
Mechanical Engineering Department
Universidad del Turabo
Stress Distribution
Localized deformation evens out far away from load
applic
Strength of Materials
ENGI 318
(Credits 3)
Stress and Strain
FA 15
Instructor:
Bernardo Restrepo, PhD, PE
School of Engineering
Mechanical Engineering Department
Universidad del Turabo
Stress
Normal Stress
0
= lim
Shear Stress
0
= lim
0
= lim
2
3D
Problem 1. The load of 2800-lb is to be supported by the two essentially vertical A-36 steel vires. If originally wire
AB is 60-in long and wire AC is 40-in long, determine the force developed in each wire after the load is suspended.
Each wire has a cros
Problem 1. Determine the support reactions at the rigid support A and C. The material has a
modulus ofelasticity of E. Problem 2. The assembly consists of two red brass C83400 copper alloy rods AB and CD of
diameter 30 mm, a stainless 304 steel alloy rod
Problem 4. The assembly consists of two post AD and CF made of A-36 steel and having a cross sectional area of
1000 mm2, and a 2014-T6 aluminum post BE having a cross sectional area of 1500 mm2. If a central load of 400
kN is applied to the rigid cap, det
Problem 1. A car loaded is pulled slowl up for a steep inclined track bv a steel cable. The cable
has an etfective crass-section area Df 0.4? in}!r and a tensile force of 5' BED lbs.
a}I Calculate the average normal stress in the cable {10 points} I0
b} C
Problem 1. The corners displacements of the square plate are given in the figure. Determine the shear strain for
the angles with vertices in A and B. Also, determine the average normal strain along side AB and diagonals AC and
DB.
Problem 2. The piece of
Strength of Materials
ENGI 318
(Credits 3)
Stress and Strain Diagram
FA 15
Instructor:
Bernardo Restrepo, PhD, PE
School of Engineering
Mechanical Engineering Department
Universidad del Turabo
Normal Stress and Strain
Normal Stress
Force per unit area
Int
Problem 1. The rigid beam is supported by a pin at A and wires BD and CE. IF the load P on the beam causes the
end C to be displaced 10 mm downward, determine the normal strain developed in wires CE and BD.
Problem 2. The two wires are connected together
Strength of Materials
ENGI 318
(Credits 3)
Stress and Strain Diagram
FA 15
Instructor:
Bernardo Restrepo, PhD, PE
School of Engineering
Mechanical Engineering Department
Universidad del Turabo
Normal Stress and Strain
Normal Stress
Force per unit area
Int
Department of Mechanical Engineering
STRENGTH OF MATERIALS - ENGI 318
Problems Chapter 2
Problem 1. The rigid beam is supported by a pin at A and wires BD and CE. IF the load P on the
beam causes the end C to be displaced 10 mm downward, determine the nor
Department of Mechanical Engineering
STRENGTH OF MATERIALS - ENGI 318
Problems Chapter 2
Problem 1. The corners displacements of the square plate are given in the figure. Determine the
shear strain for the angles with vertices in A and B. Also, determine
Department of Mechanical Engineering
STRENGTH OF MATERIALS - ENGI 318
Problems Chapter 1
Problem 1. The chandelier is suspended
from the wall and ceiling using rods AB and
BC, which have diameters of 3-mm and 4mm, respectively. If the average normal
stres
Strength of Materials
ENGI 318/41
(Credits 3)
INTRODUCTION
FA 15
Instructor:
Bernardo Restrepo, PhD, PE
School of Engineering
Mechanical Engineering Department
Universidad del Turabo
Strength of Materials
Equivalent names: Solid Mechanics, Mechanics of Ma