University Assignment: Analysis and Design of Stiffened Structures

This assignment solution focuses on the analysis and design of stiffened structures, addressing key aspects such as axial loads, shear flows, and beam and panel sizing. The solution begins by calculating axial loads in structural members, distinguishing between tension and compression forces. It then delves into shear flow calculations, illustrating the distribution of shear forces within the structure. The assignment further explores the sizing of beam elements, determining the required cross-sectional areas based on tension and compression loads. Additionally, it tackles panel sizing, considering factors like maximum shear flow, shear yield, and buckling behavior. The solution provides detailed calculations for thickness determination and design considerations, ensuring structural integrity and stability. The provided solution also includes calculations for shear flows, critical margins of safety, and re-sizing panels to meet specific design requirements, including the generation of [A] and [B] matrices for the equations to be solved.

55902
Axial loads (N), (+ve tension, -ve compression)
-79057
79057
Shear flows (N/mm)
1
2
3
Student no. a = 1.06 S = 5300
Sample load and shear flow diagrams are shown below. These should be deleted/modified
to suit your configuration, which can have different values and units as well as different
arrangement of the stiffeners and shear panels.
Q1(a) Axial Loads Show tension as positive and compression as negative values.
Round numbers to nearest integer. Do not show force arrows.
Shear Flows Show only positive values and use arrows to indicate direction
Round numbers to nearest integer
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Q1(b) Beam sizing Units not required.
Provide solutions in the boxed section of the table below.
Other values are not mandatory, and are provided as a guide to the solution process
Stiffener Max
Tension
Area
Tension
Max
Compressio
n
Area
Compression Area
(2 decimal places)
AB 0.07
BCD 0.11
AE 0.04
BF 0.04
CG 0.03
DH 0.03
EF 0.07
FGH 0.11
panel qmax tshr b a b/a K tbuck tdes
ABFE 0.07
BCGF 0.001
CDHG 0.001
Area Tension = stiffener area calculated using tension load
Area Compression = stiffener area calculated using compression load
qmax = maximum shear flow in the panel
tshr = thickness sized to shear yield (report to 4 decimal places)
K = buckling constant
tbuck = thickness sized to shear buckling (report to 4 decimal places)
tdes = design thickness, considering shear or buckling (report to 4 decimal places)
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Student no. a = 1.06 S = 5300
Q2(a) Shear Flows Show only positive values and use arrows to indicate direction.
Arrows and values can be on any side of shear panel
Critical margin of safety in shear is _____50%___ at panel _1-2_________
(b) Re-sized panels Provide solutions in the boxed section of the table below
Other supporting values are not mandatory, and are suggested to include so that limited
sequential marks may be considered where the final solution is incorrect.
Supporting values Units not required.
panel s t qbasic qtotal
 MoS
 t re-size qt re-size
1-2 12771.18
1-6 90
6-7 12771.18
2-7 1702.68
2-3 90
3-4 1702.68
4-5 1702.68
5-10 90
10-9 1702.68
9-8 1702.68
8-7 90
s = panel length t = thickness qbasic, qtotal = shear flows
 = shear stress
t re-size = re-sized thickness (4 decimals) qt re-size = total shear flow with re-sized thickness
Provide the [A] and [B] matrices of the equations, which are solved from [A]{x} = [B]
[A] =
12771.18 46.47 225000
90 75 225000
1702.68 233.3 150000
[B] =
46.47 225000 12771.1881.
75 225000 90
233.33 150000 1702.68
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