1
GATE CE 1991
MCQ (Single Correct Answer)
+2
-0.6
A prestressed concrete beam has a cross-section with the following properties: Area $$A = 46,000\,\,m{m^2},$$ $${\rm I} = 75.8 \times {10^7}\,\,m{m^4},$$ $${Y_{bottom}} = 244\,\,mm,$$ $${Y_{top}} = 156\,\,mm.$$ It is subjected to a prestressing force at an eccentricity $$'e'$$ so as to have a zero stress at the top fibre. The value of $$'e'$$ given by
A
$$66.66$$ $$mm$$
B
$$66.95$$ $$mm$$
C
$$104.72$$ $$mm$$
D
$$133.33$$ $$mm$$
2
GATE CE 1991
MCQ (Single Correct Answer)
+1
-0.3
Setting time of cement sample is tested by
A
Slump test
B
Vicat needle test
C
Le-Chatelier's test
D
Briquette test
3
GATE CE 1991
MCQ (Single Correct Answer)
+1
-0.3
The moments at the end $$'A'$$ and $$'B'$$ of a beam $$'AB'$$ where end $$(a)$$ is fixed and $$(b)$$ is hinged, when the end $$(b)$$ sinks by an amount $$\Delta $$ are given as
A
$$\eqalign{ & At\,\,the\,\,end\,\,'A'\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,At\,\,the\,\,end\,\,'B' \cr & \,\,\,\,\,\,\,\,\,{{6EI\Delta } \over {{\ell ^2}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{6EI{\rm A}} \over {{\ell ^2}}} \cr} $$
B
$$\eqalign{ & At\,\,the\,\,end\,\,'A'\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,At\,\,the\,\,end\,\,'B' \cr & \,\,\,\,\,\,\,\,\,{{6EI\Delta } \over {{\ell ^2}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0 \cr} $$
C
$$\eqalign{ & At\,\,the\,\,end\,\,'A'\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,At\,\,the\,\,end\,\,'B' \cr & \,\,\,\,\,\,\,\,\,{{3EI\Delta } \over {{\ell ^2}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{3EI\Delta } \over {{\ell ^2}}} \cr} $$
D
$$\eqalign{ & At\,\,the\,\,end\,\,'A'\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,At\,\,the\,\,end\,\,'B' \cr & \,\,\,\,\,\,\,\,\,{{3EI\Delta } \over {{\ell ^2}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0 \cr} $$
4
GATE CE 1991
MCQ (Single Correct Answer)
+1
-0.3
A thin cylindrical vessel of mean diameter $$D$$ and of length $$'L'$$ closed at both the ends is subjected to a water pressure $$'P'$$. The value of hoop stress and longitudinal stress in the shell shall be respectively.
A
$${{PD} \over {2t}}.{{PD} \over {4t}}$$
B
$${{PD} \over {8t}}.{{PD} \over {8t}}$$
C
$${{PD} \over {4t}}.{{PD} \over {8t}}$$
D
$${{PD} \over t}.{{PD} \over {2t}}$$
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