1
GATE CE 2002
Subjective
+5
-0
A $$10m$$ long prestressing bed is used to cast $$4$$ (pretensioned) prestressed concrete beams of $$2.3$$ $$m$$ each. A schematic representation of the bed is given in the following figure. The continuous prestressing reinforced is pulled at the end $$'Y'$$ of the bed through a distance of $$20$$ $$mm$$ to introduce the required prestress, before the concrete is cast. After the concrete has hardened, the prestressing reinforcement is cut at points $$A,B,C,D$$ and $$E.$$ Assume that the prestress is introduced without eccentricity, what is the loss in prestress on account of elastic deformation of concrete. Assume $${E_s} = 200000\,\,N/m{m^2},$$ reinforcement is $$500\,\,m{m^2},$$ size of beams $$= 200\,\,mm\,\left( b \right) \times 400\,\,mm\,\left( h \right).$$
2
GATE CE 2002
+2
-0.6
$$ISA$$ $$100 \times 100 \times 10\,\,mm$$ (Cross sectional area $$= 1903\,\,m{m^2})$$ serves as tensile member. This angle is welded to a gusset plate along $$A$$ and $$B$$ appropriately as shown. Assuming the yield strength of the steel to be $$260$$ $$N/m{m^2}$$ the tensile strength of the member can be taken to be approximately
A
$$500$$ $$kN$$
B
$$300$$ $$kN$$
C
$$260$$ $$kN$$
D
$$375$$ $$kN$$
3
GATE CE 2002
+2
-0.6
$$ISA$$ $$100 \times 100 \times 10mm$$ (cross sectional area $$= 1903\,\,m{m^2}$$) is welded along $$A$$ and $$B$$ (Refer to figure in the below question) such that the lengths of the weld along $$A$$ and $$B$$ are $${l_1}$$ and $${l_2}$$ respectively. Which of the following is a possibly acceptable combination of $${l_1}$$ and $${l_2}$$
A
$${l_1}$$ $$=60$$ $$mm$$ and $${l_2}$$ $$=150$$ $$mm$$
B
$${l_1}$$ $$=150$$ $$mm$$ and $${l_2}$$ $$=60$$ $$mm$$
C
$${l_1}$$ $$=150$$ $$mm$$ and $${l_2}$$ $$=150$$ $$mm$$
D
Any of the above, depending on the size of the weld
4
GATE CE 2002
Subjective
+5
-0
Given reason for the following is not more than $$20$$ words

(a) A maximum permissible distance between lacing and battens in steel columns is
$$\,\,\,\,\,\,\,$$ usually specified.
(b) It is sometimes preferable to have unequal flange angle with the longer legs
$$\,\,\,\,\,\,\,$$ horizontal in plate girder.
(c) If two channel sections need to be used as a steel column, they may be connected
$$\,\,\,\,\,\,\,$$ 'face-to-face' rather than 'back-to-back'
(d) It is sometimes preferred to have a small gap between the web and the flange
$$\,\,\,\,\,\,\,$$ plate in a plate girder.
(e) A maximum permissible 'outstand may be specific for flange in built-up sections.

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