1
GATE CE 2006
MCQ (Single Correct Answer)
+1
-0.3
Solution for the system defined by the set of equations $$4y+3z=8, 2x-z=2$$ & $$3x+2y=5$$ is
A
$$x=0, y=1,z=4/5$$
B
$$x=0,y=1/2,z=2$$
C
$$x=1,y=1/2,z=2$$
D
non existent
2
GATE CE 2006
MCQ (Single Correct Answer)
+1
-0.3
As per $$IS:$$ $$456$$-$$2000,$$ consider the following statements:

$$1.$$ The modular ratio considered in the working stress method depends on the type of steel used.
$$2.$$ There is an upper limit on the nominal shear stress in beams (even with shear reinforcement) due to the possibility of crushing of concrete in diagonal compression.
$$3.$$ A rectangular slab whose length is equal to its width may not be a two-way slab for some support conditions.

The TRUE statements are

A
$$1$$ and $$2$$
B
$$2$$ and $$3$$
C
$$1$$ and $$3$$
D
$$1,2$$ and $$3$$
3
GATE CE 2006
MCQ (Single Correct Answer)
+1
-0.3
Assuming concrete below the neutral axis to be cracked, the shear stress across the depth of a singly-reinforced rectangular beam section
A
Increase parabolically to the neutral axis and then drops suddenly to zero value.
B
Increases parabolically to the neutral axis and then remains constant over the remaining depth.
C
Increases linearly to the neutral axis and then remains constant up to the tension steel.
D
Increases parabolically to the neutral axis and then remains constant up to the tension steel.
4
GATE CE 2006
MCQ (Single Correct Answer)
+2
-0.6
In the design of beams for the limit state of collapse in flexure as per $$IS:$$ $$456$$ - $$2000,$$ let the maximum strain in concrete be limited to $$0.0025$$ (in place of $$0.0035$$). For this situation, consider a rectangular beam section with breadth as $$250$$ $$mm,$$ effective depth as $$350$$ $$mm,$$ area of tension steel as $$1500\,\,m{m^2},$$ and characteristic strengths of concrete and steel as $$30$$ $$MPa$$ and $$250$$ $$MPa$$ respectively.

At the limiting state of collapse in flexure, the force acting on the compression zone of the section is

A
$$326$$ $$kN$$
B
$$389$$ $$kN$$
C
$$424$$ $$kN$$
D
$$542$$ $$kN$$
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