Structural Design Principles Assignment: Semester 1

Desklib provides solved assignments and past papers to help students succeed.

Principles of Structural Design

Contents
LO1 Calculate bending moments and shear forces for simply supported steel and concrete
beams...............................................................................................................................................4
P1 Determine the following by calculations and diagrams: bending moments and shear force
in simply supported steel beams with point loads and uniformly distributed loads....................4
A Bending Moment...............................................................................................12
P2 Discuss the statutory requirements to ensure safety in structural designs............................12
LO2 Determine deflection for simply supported steel beams.......................................................15
P3 Determine deflection in simply supported steel beams with point loads and a uniformly
distributed load..........................................................................................................................15
Solution (A)...............................................................................................................................15
Solution (B)...............................................................................................................................19
Solution (C)...............................................................................................................................23
Solution (D)...............................................................................................................................28
Solution (E)................................................................................................................................32
P4 Explain how deflection in beams affects structural stability................................................36
LO3 Calculate the axial load carrying capacity of steel and reinforced concrete columns...........37
P5 Describe the concepts of slenderness ratio and effective length..........................................37
Solution (a)................................................................................................................................37
P6 Determine the axial load carrying capacity of steel columns and reinforced concrete
columns......................................................................................................................................39

LO4 Explore design methods for steel, reinforced concrete beams and columns.........................39
P7 Develop a design solution, including beam design and column design, for a given scenario.
...................................................................................................................................................39
Solution......................................................................................................................................39
P8 Produce drawings and specifications in support of a structural design solution..................43
Conclusion.....................................................................................................................................45
Reference.......................................................................................................................................45
List of Figures
Figure 1: Simply supported steel beam with a point load........................................................15
Figure 2: Simply supported steel beam with a point load........................................................19
Figure 3: Simply supported steel beam with a UDL................................................................23
Figure 4: Simply supported steel beam with a UDL and a point load....................................28
Figure 5: Simply supported steel beam with a UDL and a point load....................................32
Figure 6: Beam design.................................................................................................................43
List of tables
Table 1: Size of steel bars required according to building type....................................................39

LO1 Calculate bending moments and shear forces for simply supported steel
and concrete beams.
P1 Determine the following by calculations and diagrams: bending moments and
shear force in simply supported steel beams with point loads and uniformly
distributed loads.
1.1
Provided in the question,
Span of the beam=16 m
At the midpoint point load= 150 KN
To Calculate:
 Arrangement of the beam
 support reactions
 SFD and
 BMD
Answer:
Arrangement of beams
Point load =150 KN
B
RA 7 m 14 m 7m RC
Reactions at the support

When we consider the moment is about A
Then, RA+ RB= 150 kN
 -RB x 14 + (150 * 7) = 0
 RB is equal to75.0kN
Placing RB in the equation we obtain,
 RA is equal to 75 kN
So the support reactions that are required are RA equal to 75 kN& RBequals to 75 kN.
Shear force Diagram and calculation
Point load =150 KN
B
A 14 m C
L / 2
P / 2 -P / 2
L / 2
Between A to C shear force is equal to:
F is equal to75
Or, A x is equal to 0
SFa = 75.0kN

For c, put x equal to 7
Between c and B shear force
Ra is equal to 150.0 KN
Or, For C x = 0
7Fc = 150-75= 75 kN
For B
Or, SFb equal to 150 - 75 = - 75
Or, SFb equals to -75 kN
Calculation of bending moment and BMD
150 KN
B
A 14 m C
L / 2
C’
Wl/ 4 C
L / 2
X
For A to C section bending moment
 MX is equal to RA * X equals to W/ 2 . X

For Point A, X is equal to 0
Or, MAis equals to 0
For point C, X is equal to L/ 2
Or, Mc is equal to W/ 2 .L/ 2
Or, Mc= 150/ 2 . 14/ 2
Or, Mc is equal to 525 KN
For C too B section bending moment
Or, MX is equal to RA. X – [W . (x-L/2) ]
Or, MX is equal to 525 KN
for point B, X is equal to L/ 2
or, MB is equal to WL/2 – [ (W (L/2)]
0r, MB is equal to 0
1.2
Provided in the question,
Span of the beam = 8 m
Point load is situated at a distance of 2m from the left support = 65 KN
To Calculate:
 Arrangement of the beam
 support reactions
 SFD and

 BMD
Answer:
Arrangement of beams
65 KN
2 m C
RA 8 m RB
A B
Reactions at the support
At the point A, reaction is equal to
 RA= 65 . 6 / 8
 RA= 48. 750 KN
At point B, reaction is equal to
 RB= 65 . 2 / 8
 RB = 16.250 KN
Therefore required reactions at the support are RA equals to 48. 750 KN and RBequals to 16.250
KN.
Calculation of shear force and SFD
Calculation of bending moment and BMD
1.3
Provided in the question,

Span of the beam = 8 m
Carries uniformly distributed load= 25 KN/m
To Calculate:
 SFD
 BMD
Answer:
Calculation of shear force and SFD
Calculation of bending moment and BMD
1.4
Provided in the question,
Span of the beam =16 m
At the midpoint point load= 150 KN
Uniformly distributed load that is additionally supported is given as = 20 KN/m
Diagrammatically represent:
 SFD
 BMD
Answer:
Diagram of shear Force
Point Load W = 150 KN
Uniformly Distributed Load = 20 KN

RA 7 m 7 m RB
A C B
length = 14 m
A C B
Shear Force
Diagram of bending moment
Point Load W = 150 KN
Uniformly Distributed Load = 20 KN
RA 7 m 7 m RB
A C B
length = 14 m

Bending Moment
A C B
1.5
Provided in the question
Span of the beam = 8 m
Carries uniformly distributed load= 25KN/m
From the right support of the beam at a distance of 10m, the beam carries an additional point
load = 50 KN
Diagrammatically represent:
 SFD
 BMD
Answer:
Diagram for Shear Force
Point Load W = 50 KN
Uniformly Distributed Load = 25 KN
RA 15 m 10 mRB
A B
length = 25 m

A C B
Shear Force
Diagram for Bending Moment
Point Load W = 50 KN
Uniformly Distributed Load = 25 KN
RA 15 m 10 m RB
A C B
length = 25 m
A Bending Moment
P2 Discuss the statutory requirements to ensure safety in structural designs.
The major requirements of the safety, as well as other specification, are generally decided by the
Government authorizes that includes housing committees. Different changes, as well as safety as
well as sustainable construction practices, are introduced by the government as well as the
primate construction companies. The safety of the basic structure building designs is the
confluence of different government as well as private projects that involve working with jobs,
government as well as business, based on problems connected to the safety of building designs,