EMD Homework Solutions to Problems from
Mechanical Design of Machine Elements and Machines by Jack A. Collins
prepared by Antoinette M. Maniatty and Jing Lu
1-13 This appears to be exactly what some U.S. rms do on a routine basis. However, if
you think it

Homework Autumn 2015
Professor Bharat Bagepalli, 2015
Homework 2a: Buckling Of Bicycle Frame under Impact
A rider loses control of his bike and crashes into a tree. The bike travelling at X = 40 km/hour just before impact,
comes to a standstill in 3 seco

Professor Bharat Bagepalli
2015
Homework1a
Seat & Stem
Brake Lever
Brake Cable
Head Tube with
Handle Stem
Brake Calipers
Brake Shoes
Front Fork &
Axle Support
Rim
Pedal Cranks,
Shaft,
Sprockets &
Chain
Rear Axle Support
Fork
Spokes
Homework 1a
1. Show FB

MANE-4030 Elements of Mechanical Design
Exam #3, April 25, 2013
Prof. A. Maniatty
1. The figure shows a two-stage gear reducer. The input shaft A is driven by a 7.2 kW singlecylinder engine at a constant speed of 1800 rpm counter-clockwise (as shown). Out

MANE-4030 Elements of Mechanical Design
Sample Final Exam Questions
Prof. A. Maniatty
1. A belt-driven jack-shaft is shown schematically in the figure. The weight of each pulley is
900 N as shown in the figure. The shaft is made of AISI 4620 cold-drawn (C

1
MANE-4030 Elements of Mechanical Design
Exam #2, 3/28/2013
Prof. A. Maniatty
1. The figure shows a solid, cylindrical steel shaft supported by self-aligning bearings at A and B
subjected to the load shown. Find the deflection at the location where the 2

MANE-4030 Elements of Mechanical Design
Exam #1, February 21, 2013
Prof. A. Maniatty
1. The critical stress state in a keyway on a shaft is determined to be x = 50 MPa, xy = -30 MPa,
y = -25 MPa, and all other stress components are zero, as illustrated be

MAN E-4030 Elements of Mechanical Design
Exam #1 , February 21,2013
Prof. A. Maniatty
l. The critical stress state in a keyway on a shaft Is determined to be 0 = 50 MPa, L'xy =-3O MPa,
=25 MPa, and all other stress components are zero, as illustrated belo

EMD homework solutions#5
Due 3/10
5-9, 5-28, 5-37, 5-40, 5-42
5-9 The beam is loaded in bending, which produces an axial compressive stress on the top
and tensile stress on the bottom. Failure due to yielding on the bottom of the beam or by
crack propagat

MANE-4030 Elements of Mechanical Design
Exam #1, February 25, 2010
Prof. A. Maniatty
1. From a finite element analysis, it is determined that the stresses acting on an element at
the base of a gear tooth are x = 20 MPa, y = 6 MPa, xy = 9 MPa and all other

EMD homework solutions#12
Due 5/5
10-3, 10-12
10-3
This is oscillatatory motion, the average sliding velocity is calculated by dividing the distance
traveled in a single oscillation by the time (which is inversely related to the frequency). The
links rota

EMD homework solutions#11
Due 4/28
13-11, 13-14, 13-19, 13-20
13-11 From problem specications:
Bolt is 1 -13 UNC steel with Su = 101, 000psi, Syp = 85, 000psi, Sf = 50, 000 psi, Ktf =
2
3 (assuming this is the fatigue stress concentration factor and not t

EMD homework solutions#10
Due 4/21
8-16, 8-19, 18-2, 18-6, 13-9
8-16
The bending moment obtained in the previous problem (8-15) may be graphically represented
by Fig. 1(a). Now scaling this by EI to obtain d2 v/dx2 = M/EI gives Fig. 1(b), where
IAB = IEG

EMD homework solutions#6
Due 3/24
5-47, 5-53, 5-54, 5-61, modied version of 5-84, 5-88
5-47 (a) Aluminum bar, Su = 100, 000 psi, Syp = 80, 000 psi, SN =105 = 40, 000 psi (assume
fully modied; but if it were not, should apply modifying factors to this valu

MANE403O Elements of Mechanical Design
Exam #2, 3/28/2013
Prof. A. Maniatty
l . The gure shows a solid, cylindrical steel shaft su
subjected to the load shown. Find the deflection at the location where the
using Castiglianos theorem. The dimensions in the

6
MANE-4030 Elements of Mechanical Design
Sample Final Exam Questions
Prof. A. Maniatty
4. The 1-in diameter steel rod BC is attached to the steel lever AB and to the fixed support C.
The uniform steel lever is 83 -in wide and 1-in deep. Using Castigliano

Homework 8a: Mohrs Circle For General 2D State Of Stress
Given: A Plane Stress element in a part made of the
6061-T6 is found to have the following stress:
x = 5.6 ksi; y = 9.9 ksi, and txy = 5.0 ksi.
The Axial Yield Strength, SY, of 6061-T6 aluminum is
3

Professor Bharat Bagepalli
Homework 10:
Work the attached worked problem entirely in Metric Units. Handwritten, Pencil on paper. Check
out the numbers you may trap errors!
Fatigue Life Under Combined, Non-zero Mean Bending and Torsion with SCF
Use thes

Homework 9a: S-N Curve for AA2024-T4 Aluminum Alloy
Professor Bharat Bagepalli
a) Estimate and plot Idealized S-N curve for AA2024-T4 given Su = 68ksi, e=20%, compare to data in Figure 5.31.
Give your answers in Metric Units (100ksi = 689MPa)
b) Estimate

Professor Bharat Bagepalli
Tribology - Wear
1
Wear
Professor Bharat Bagepalli
Section 2.8
Wear is a phenomenon with
A pair of materials A & B
NOT a single-material property
Primarily, we need two basic mechanical entities for wear to occur:
1. Load

Professor Bharat Bagepalli, 2015
Buckling and Instability
1
Professor Bharat Bagepalli
Buckling and Instability Section 2.5
Structural members in Compression can fail in two ways
Yielding or Fracturing ( purely Material failure)
Short Members
Strength

MANE-4030 Elements of Mechanical Design
Professor Bharat Bagepalli
Welcome Students!
1
MANE-4030 Elements of Mechanical Design
Professor Bharat Bagepalli
Instructor: Professor Bharat Bagepalli, (B2)
Office: JEC 2040, Hours: M-F 9:00-10:00
Class Room an

Professor Bharat Bagepalli
Creep and Rupture
1
Professor Bharat Bagepalli
Section 2.7
Creep and Rupture
Creep is the variation of Strain over Time in materials under
different conditions of Stress and/or Temperature
Relaxation is the variation of Stress