1
GATE CE 1999
MCQ (Single Correct Answer)
+1
-0.3
If $$A$$ is any $$nxn$$ matrix and $$k$$ is a scalar then $$\left| {kA} \right| = \alpha \left| A \right|$$ where $$\alpha $$ is
A
$$kn$$
B
$${n^k}$$
C
$${k^n}$$
D
$${k \over n}$$
2
GATE CE 1999
MCQ (Single Correct Answer)
+1
-0.3
Temporary hardness in water is caused by the presence of
A
Bicarbonates of Ca and Mg
B
Sulphates of Ca and Mg
C
Chlorides of Ca and Mg
D
Nitrates of Ca and Mg
3
GATE CE 1999
MCQ (Single Correct Answer)
+1
-0.3
Principle involved in the relationship between submerged unit weight and saturated weight of a soil is based on
A
Equilibrium of floating bodies
B
Archimede's principle
C
Stoke's law
D
Darcy's law
4
GATE CE 1999
Subjective
+5
-0
A beam with a rectangular cross section of size $$250$$ $$mm$$ wide and $$350$$ $$mm$$ deep is prestressed by a force of $$400$$ $$kN$$ using $$8$$ numbers $$7$$ $$mm$$ $$\phi $$ steel cables located at an eccentricity of $$75$$ $$mm.$$ Determine the loss of prestress due to creep of concrete. Grade of concrete is $$M40;$$ Coefficient of creep is $$2;$$ stress at transfer is $$80\% $$, Modulus of elasticity of steel $$\left( {{E_s}} \right)$$ is $$2.0 \times {10^5}\,\,MPa.$$
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