CIVL3110 Structural Analysis - Tutorial 11
Consider the steel beam-concrete slab composite section shown below:
1200 mm
120 mm thick
concrete slab
410 UB 59.7
A transformed section analysis (transforming concrete into steel, where the modular ratio is n =
CIVL3110 Structural Analysis - Tutorial 3
1. The axial bar shown below has EA = 10 000 kN and is subjected to a distributed
axial load varying as indicated. Compute and plot the internal axial force in the bar
and the displacement along the bar using both
CIVL3110 Structural Analysis - Tutorial 10
Calculate the displacements and member forces in each of the rigid-jointed frames
illustrated below using the matrix stiffness method. Draw the bending moment, shear
force and axial force diagram. Finally, commen
CIVL3110 Structural Analysis - Tutorial 2
1. The axial bar shown below has EA = 10 000 kN and is subjected to an axial load
varying as indicated. In addition the right hand support moves to the right by 0.6
mm. Use Macaulay brackets and the Dirac Delta to
CIVL3110 Structural Analysis - Tutorial 1
1. A member has the cross-section shown below. At a particular x coordinate on the
member the axial stress is given by
x(y) = 50 + 440 y MPa
and the shear stress by
(y) = 6000 y (0.1 y) MPa
where y is in metres. C
CIVL3110 Structural Analysis - Tutorial 11
Consider the steel beam-concrete slab composite section shown below:
1200 mm
120 mm thick
concrete slab
410 UB 59.7
A transformed section analysis (transforming concrete into steel, where the modular ratio is n =
CIVL3110 Structural Analysis - Tutorial 6
1. The beam shown below has EI = 1000 kN.m2 and is subjected to a distributed load
varying as indicated. Compute and plot the shear force and bending moment in the
beam using the displacement (stiffness) method.
8
CIVL3110 Structural Analysis - Tutorial 5
1. The beam shown below has EI = 1000 kN.m2 and is subjected to a distributed load
varying as indicated. Compute and plot the shear force and bending moment in the
beam using the force (flexibility) method.
8 kN/m
CIVL3110 Structural Analysis - Tutorial 8
1. Calculate the member end moments in the illustrated beam by using the matrix
stiffness method, and draw the moment and shear force diagrams.
(EI1 = 1600 kNm2, EI2 = 2400 kNm2)
25 kN
5 kN/m
EI1
EI2
Hinge
3m
3m
3
CIVL3110 Structural Analysis - Tutorial 12
Compute and plot the AFD, SFD and BMD and find all external reactions for the
rigid jointed frame illustrated below when the support B moves to the right by 15mm.
Use EI = 1500 kNm2 and EA = 100 000 kN.
60 kN
6 k
CIVL3110 Structural Analysis - Tutorial 6
1. The beam shown below has EI = 1000 kN.m2 and is subjected to a distributed load
varying as indicated. Compute and plot the shear force and bending moment in the
beam using the displacement (stiffness) method.
8
CIVL3110 Structural Analysis - Tutorial 2
1. The axial bar shown below has EA = 10 000 kN and is subjected to an axial load
varying as indicated. In addition the right hand support moves to the right by 0.6
mm. Use Macaulay brackets and the Dirac Delta to
CIVL3110 Structural Analysis - Tutorial 1
1. A member has the cross-section shown below. At a particular x coordinate on the
member the axial stress is given by
x(y) = 50 + 440 y MPa
and the shear stress by
(y) = 6000 y (0.1 y) MPa
where y is in metres. C
CIVL3110 Structural Analysis - Tutorial 11
Consider the steel beam-concrete slab composite section shown below:
1200 mm
120 mm thick
concrete slab
410 UB 59.7
A transformed section analysis (transforming concrete into steel, where the modular ratio is n =
CIVL3110 Structural Analysis - Tutorial 5
1. The beam shown below has EI = 1000 kN.m2 and is subjected to a distributed load
varying as indicated. Compute and plot the shear force and bending moment in the
beam using the force (flexibility) method.
8 kN/m
CIVL3110 Structural Analysis - Tutorial 8
1. Calculate the member end moments in the illustrated beam by using the matrix
stiffness method, and draw the moment and shear force diagrams.
(EI1 = 1600 kNm2, EI2 = 2400 kNm2)
25 kN
5 kN/m
EI1
EI2
Hinge
3m
3m
3
CIVL3110 Structural Analysis - Tutorial 7
1. Calculate the member end moments in the indeterminate beam illustrated by using
the matrix stiffness method, and draw the moment and shear force diagrams.
(Hints: Replace the cantilevered section by a moment at
CIVL3110 Structural Analysis - Tutorial 9
Calculate the displacements and member forces in the rigid-jointed frames illustrated
below using the matrix stiffness method. Draw the bending moment, shear force and
axial force diagrams for each. Finally, comme
CIVL3110 Structural Analysis Tutorial 4
1. The prismatic beam shown below has EI = 3000 kNm2 and is subjected to various point and
distributed loads as indicated. Use Macaulay brackets and the Dirac Delta to define the
loading function. Compute and plot t
CIVL3110 Structural Analysis - Tutorial 9
Calculate the displacements and member forces in the rigid-jointed frames illustrated
below using the matrix stiffness method. Draw the bending moment, shear force and
axial force diagrams for each. Finally, comme
CIVL3110 Structural Analysis - Tutorial 7
1. Calculate the member end moments in the indeterminate beam illustrated by using
the matrix stiffness method, and draw the moment and shear force diagrams.
(Hints: Replace the cantilevered section by a moment at
CIVL3110 Structural Analysis - Tutorial 6
1. The beam shown below has EI = 1000 kN.m2 and is subjected to a distributed load
varying as indicated. Compute and plot the shear force and bending moment in the
beam using the displacement (stiffness) method.
8
CIVL3110 Structural Analysis Tutorial 4
1. The prismatic beam shown below has EI = 3000 kNm2 and is subjected to various point and
distributed loads as indicated. Use Macaulay brackets and the Dirac Delta to define the
loading function. Compute and plot t
CIVL3110 Structural Analysis - Tutorial 7
1. Calculate the member end moments in the indeterminate beam illustrated by using
the matrix stiffness method, and draw the moment and shear force diagrams.
(Hints: Replace the cantilevered section by a moment at
CIVL3110 Structural Analysis - Tutorial 3
1. The axial bar shown below has EA = 10 000 kN and is subjected to a distributed
axial load varying as indicated. Compute and plot the internal axial force in the bar
and the displacement along the bar using both
CIVL3110 Structural Analysis - Tutorial 12
Compute and plot the AFD, SFD and BMD and find all external reactions for the
rigid jointed frame illustrated below when the support B moves to the right by 15mm.
Use EI = 1500 kNm2 and EA = 100 000 kN.
60 kN
6 k
CIVL3110 Structural Analysis - Tutorial 2
1. The axial bar shown below has EA = 10 000 kN and is subjected to an axial load
varying as indicated. In addition the right hand support moves to the right by 0.6
mm. Use Macaulay brackets and the Dirac Delta to
CIVL3110 Structural Analysis - Tutorial 1
1. A member has the cross-section shown below. At a particular x coordinate on the
member the axial stress is given by
x(y) = 50 + 440 y MPa
and the shear stress by
(y) = 6000 y (0.1 y) MPa
where y is in metres. C
CIVL3110 Structural Analysis - Tutorial 10
Calculate the displacements and member forces in each of the rigid-jointed frames
illustrated below using the matrix stiffness method. Draw the bending moment, shear
force and axial force diagram. Finally, commen
CIVL3110 Structural Analysis - Tutorial 8
1. Calculate the member end moments in the illustrated beam by using the matrix
stiffness method, and draw the moment and shear force diagrams.
(EI1 = 1600 kNm2, EI2 = 2400 kNm2)
25 kN
5 kN/m
EI1
EI2
Hinge
3m
3m
3