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GATE CE 2002

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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GATE CE

Eigen values of the following matrix are $$\left[ {\matrix{ { - 1} & 4 \...
The following function has local minima at which value of $$x,$$ $$f\left( x \ri...
Limit of the following sequence as $$n \to \infty $$ $$\,\,\,$$ is $$\,\,\,$$ $...
The value of the following improper integral is $$\,\int\limits_0^1 {x\,\log \,...
The value of the following definite integral in $$\int\limits_{{\raise0.5ex\hbox...
The directional derivative of the following function at $$(1, 2)$$ in the direc...
The Laplace transform of the following function is $$$f\left( t \right) = \left...
Using Laplace transforms, solve $${a \over {{s^2} - {a^2}}}\,\,\left( {{d^2}y/d{...
In natural water, hardness is mainly caused by
During a 6-hour storm the rainfall intensity was 0.8 cm/hr on a catchment of are...
Modulus of elasticity of M25 grade concrete in MPa is
Read the following two statements <p>$${\rm I}.\,\,\,\,\,\,\,\,\,\,\,\,$$ Maximu...
As per provision of $$IS$$ $$456$$-$$2000$$, in the limit state method for desig...
A $$10m$$ long prestressing bed is used to cast $$4$$ (pretensioned) prestressed...
$$ISA$$ $$100 \times 100 \times 10\,\,mm$$ (Cross sectional area $$ = 1903\,\,m{...
$$ISA$$ $$100 \times 100 \times 10mm$$ (cross sectional area $$ = 1903\,\,m{m^2}...
Given reason for the following is not more than $$20$$ words <p>(a) A maximum pe...
When designing steel structures, one must ensure that local buckling in webs doe...
An $$ISMB$$ $$500$$ is used as a beam in a multi-storey construction. From the v...
The shear modulus (G), modulus of elasticity (E) and the Poisson's ratio ($$\mu...
For the loading given in the figure below, two statements ( $${\rm I}$$ and $${\...
In the propped cantilever beam carrying a uniformly distributed load of $$w$$-$$...
A propped cantilever beam of span $$'L'$$ is loaded with $$u.d.l$$ of intensity ...
A steel beam (with a constant $$EI,$$ and span $$L$$) is fixed at both ends and ...
Calculate the shape factor for the $$T$$-section shown in the following figure m...
SSD and Friction coefficients are

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