1
GATE CE 2003
MCQ (Single Correct Answer)
+2
-0.6
Maximum strains in an extreme fibre in concrete and in the tension reinforcement (Fe-$$415$$ grade and $${E_s} = 200\,\,kN/m{m^2}$$) in a balanced section at limit state of flexure are respectively
A
$$0.0035$$ and $$0.0038$$
B
$$0.002$$ and $$0.0018$$
C
$$0.0035$$ and $$0.0041$$
D
$$0.002$$ and $$0.0031$$
2
GATE CE 2003
MCQ (Single Correct Answer)
+2
-0.6
A reinforced concrete beam, size $$200$$ $$mm$$ wide and $$300$$ $$mm$$ deep overall is simply supported over a span of $$3$$ $$m.$$ It is subjected to two point loads $$P$$ of equal magnitude placed at middle third points. The two loads are gradually increased simultaneously. Beam is reinforced with $$2$$ $$HYSD$$ $$415$$ bars of $$16$$ $$mm$$ diameter placed at an effective cover of $$40$$ $$mm$$ on bottom face and nominal shear reinforcement. The characteristic compressive strength and the bending tensile strength of the concrete are $$20.0\,\,N/m{m^2}$$ and $$2.2\,\,N/m{m^2}$$ respectively.

Ignoring the presence of tension reinforcement, the value of load $$P$$ in $$kN$$ when the first flexure crack will develop in the beam is

A
$$4.5$$
B
$$5.0$$
C
$$6.6$$
D
$$7.5$$
3
GATE CE 2003
MCQ (Single Correct Answer)
+2
-0.6
A reinforced concrete beam, size $$200$$ $$mm$$ wide and $$300$$ $$mm$$ deep overall is simply supported over a span of $$3$$ $$m.$$ It is subjected to two point loads $$P$$ of equal magnitude placed at middle third points. The two loads are gradually increased simultaneously. Beam is reinforced with $$2$$ $$HYSD$$ $$415$$ bars of $$16$$ $$mm$$ diameter placed at an effective cover of $$40$$ $$mm$$ on bottom face and nominal shear reinforcement. The characteristic compressive strength and the bending tensile strength of the concrete are $$20.0\,\,N/m{m^2}$$ and $$2.2\,\,N/m{m^2}$$ respectively.

The theoretical failure load of the beam for attainment of limit state of collapse in flexure is

A
$$23.7$$ $$kN$$
B
$$25.6$$ $$kN$$
C
$$28.7$$ $$kN$$
D
$$31.6$$ $$kN$$
4
GATE CE 2002
MCQ (Single Correct Answer)
+2
-0.6
Read the following two statements

$${\rm I}.\,\,\,\,\,\,\,\,\,\,\,\,$$ Maximum strain in concrete at the outermost compression fibre is taken to be $$0.0035$$ in bending
$${\rm II}.\,\,\,\,\,\,\,\,\,\,\,\,$$ The maximum compressive strain in concrete in axial compression is taken as $$0.002$$ Keeping the provisions of $$IS$$ $$456$$-$$2000$$ on limit state design in mind, which of the following is true?

A
Statement $${\rm I}$$ is true but $${\rm II}$$ is false
B
Statement $${\rm I}$$ is false but $${\rm II}$$ is true
C
Both statements $${\rm I}$$ and $${\rm II}$$ are true
D
Both statements $${\rm I}$$ and $${\rm II}$$ are false
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