STUPIDSID
1 (a)
Derive an expression for meridional thrust and hoop force for a spherical Dome Subjected to concentrated load at the crown.
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1 (b)
Fill in the blanks and rewrite the whole sentence :
(1) Shape factor is a property of the __________ shape. It is independent of the ____________ properties.
(2) The final size of the stiffness matrix depends on ______ indeterminacy while the same of the flexibility matrix depends on _______
(3)Spherical dome is obtained by revolution of __________ about its __________ diameter.
(4)For a circular beam supported symmetrically on four or more than four columns _________will be zero at the supports and at the centre of each span.
(1) Shape factor is a property of the __________ shape. It is independent of the ____________ properties.
(2) The final size of the stiffness matrix depends on ______ indeterminacy while the same of the flexibility matrix depends on _______
(3)Spherical dome is obtained by revolution of __________ about its __________ diameter.
(4)For a circular beam supported symmetrically on four or more than four columns _________will be zero at the supports and at the centre of each span.
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2 (a)
Explain plastic bending of beams with sketches.
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2 (b)
Explain Torsion factor and list out its value for various shapes of the
section for the beams curved in plan.
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2 (c)
A beam is in the form of quarter circle in plan with both the ends fixed. If the
radius of the beam is 5m and is loaded by a UDL of 20 kN/m, draw the bending
moment, shear force and torsion moment diagrams.
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3 (a)
A fixed beam of span L meter carries an eccentric point load W at a
distance ?a? meter from left support A. Determine the value of W at
Collapse.
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3 (b)
A beam circular in plan is loaded with uniformly distributed load of 80
kN /m inclusive of self weight. The radius of the beam is 8 meter. The
beam is supported by six symmetrically placed columns. Draw Shear
force, bending moment and Twisting moment diagram for one of the
Span.
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3 (c)
Calculate the Mp required for a fixed beam of span 12 meter and
loaded by a collapse UDL of 30 kN /m over left half 6 meter and a
collapse concentrated load of 80 kN at 8 meter from left support.
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3 (d)
A conical Dome has the following details.:
Span of the Dome = 20 meter
Rise = 4 meter
Live load , etc. = 2.0 kN/m2
Calculate maximum meridional thrust and hoop force in the conical dome.
Span of the Dome = 20 meter
Rise = 4 meter
Live load , etc. = 2.0 kN/m2
Calculate maximum meridional thrust and hoop force in the conical dome.
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4 (a)
Explain the following matrix equations used in stiffness method of analysis.
1. AD = ADL+ SD
2. AR = ARL+ARD.D,
3. AM = AML+AMD.D.
2. AR = ARL+ARD.D,
3. AM = AML+AMD.D.
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4 (b)
For the structure shown in fig.1 calculate load vector (AD-ADL) and stiffness matrix (S).
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4 (c)
For the structure shown in fig.2 calculate the flexibility matrix and displacement vector.
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4 (d)
For the structure shown in fig.2 calculate the member end actions and
draw shear force and bending moment diagrams.
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5 (a)
A Spherical dome with a span of 18 meter and central rise of 4 meter
has all inclusive load of 14 kN/m2 . Calculate all the stresses at the
mid height.
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5 (b)
Find shape factor for a beam of circular section of radius R.
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5 (c)
Derive the expression for M? and T? for a curved beam fixed at ends.
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5 (d)
Using flexibility method analyse the pin jointed plane truss shown in fig.3. The cross-sectional areas A and modulus of elasticity E for all members is the same.
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