MANUKAU INSTITUTE OF TECHNOLOGY
TECHNOLOGY PARK CAMPUS
SCHOOL OF PROFESSIONAL ENGINEERING
Assessment For: BET 243.521 MG5029 Strength of Materials 1
Assessment: Assignment 4
Assessment Weighting: 1 %
Assessment Due Date: Friday 4.30PM on 12/05/2023 (Week 11)
Lecturer: Cornelis Kok
Semester: 1, 2023
This Assessment Covers the Following Learning Outcomes:
Learning Outcome 2: Design jointing systems.
Time Taken: ____ hours ______ minutes
Student Name: __________________________________________
Student ID: _____________________________________________
Additional Assessment Comments:
1.
2.
3.
4.
5.
6.
7.
8.
Any candidate, who aids, attempts to aid, obtains aid or attempts to obtain aid from another candidate will be
disqualified and further dealt with under the institutional disciplinary procedures for cheating. This could result
in the offender’s expulsion from the institution. All work must be completed by the candidate.
This is an OPEN BOOK assessment.
You may make use of the information in the Data, Formulae and Tables booklet
All answers must be written in this book, in the ruled spaces available, or on extra sheets (including graph
paper).
Write your student ID and the question number on each extra page, including graph paper, and enclose it in
the book adjacent to the relevant question.
CROSS OUT any work that you do not wish to have marked.
Show ALL working in calculations to obtain full marks. In any question that does not ask for numerical
answers to a specified accuracy, answers should be rounded appropriately.
Answer ALL questions and submit a scanned copy of the completed assignment via CANVAS.
For Official Use Only:
Question:
Out of:
Student’s Mark:
1
10
2
10
Total
20
Weightage
1%
Page 19 of 31
Question One – Bolted (and welded) Joints
[10 marks]
NZDE LO2 : BET LO2
4.1.1) A plate is attached to fixed support by a bracket. The bracket is welded to the fixed support
and bolted to the plate. The plate has a 50 kN load applied along the axis of the bracket as
sketched below.
a) Determine the weld length required for a 6 mm weld if the allowable weld shear stress is
135 MPa.
(3 marks)
b) Determine the number and diameter of grade 4.6 bolts required. Include a sketch of a
possible arrangement for the joint. Allowable shear stress = 0.62*Tensile stress. (Bolt
information at end of exam paper). Explain any assumptions you have made.
(4 marks)
c) Give a brief description (with sketches) of the stress concentrations that would result from
each joint.
(3 marks)
Weld
Weld length
Bracket
Fixed Support
50 kN
Plate
Location of
Bolts
Question Two – Welded (and bolted) Joints
[10 marks]
NZDE LO2 : BET LO2
4.2.1) A steel plate is welded to a column as shown in figure 3 below (column not shown). If the weld
shear stress is limited to 135MPa, determine the minimum weld width required to support a load
of P = 60kN.
State any assumptions that are made in your calculation.
(3 marks)
P
243.521 MG5029 Strength of Materials 1
Assignment 4
Semester 1, 2023
Page 20 of 31
4.2.2) A lap joint is made by attaching two side plates onto the main member. One end is bolted
with M16 grade 5.8 bolts, the other end is welded with 5 mm weld. Bolt properties table are
available at the end of the exam paper.
Bolt allowable shear stress 200 MPa. Weld shear stress 135 MPa.
i. Determine the maximum load for the joint. Explain any assumptions you have made.
(5 marks)
ii. Determine the length of 5 mm weld required so that the welded joint is the same
strength as the bolted joint.
(2 marks)
Side plate
Force
Force
Side plate
Weld
(each plate)
Force
Force
M20/5.6 bolts
Weld
(each plate)
RELEVANT FORMULAE & TABLES
Strength Properties
Bolt Area in mm2
SHANK AREA Ao
STRESS AREA AS
CORE AREA
AC
M5
20
14.2
12.7
M6
28
20.1
17.9
Bolted joints
𝐹 =
.
M8
50
36.6
32.8
M10
79
58
52.3
M12
113
84.3
76.2
M16
201
157
144
M20
314
245
225
M24
452
353
324
M30
706
561
519
M36
1016
817
759
Welded joints
𝐹 =
× ×
∑
𝐹 =
𝐹 =
𝐹 =
ℎ𝑒𝑖𝑔ℎ𝑡 = √2 × 𝑡ℎ𝑟𝑜𝑎𝑡
243.521 MG5029 Strength of Materials 1
Assignment 4
Semester 1, 2023
Page 21 of 31
Extra work space. Number your questions carefully. Cross out work not to be marked.
243.521 MG5029 Strength of Materials 1
Assignment 4
Semester 1, 2023
Page 22 of 31
Extra work space. Number your questions carefully. Cross out work not to be marked.
243.521 MG5029 Strength of Materials 1
Assignment 4
Semester 1, 2023
Page 23 of 31
Extra work space. Number your questions carefully. Cross out work not to be marked.
243.521 MG5029 Strength of Materials 1
Assignment 4
Semester 1, 2023