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Theory of Structures problems
1. If the normal stresses due to longitudinal and transverse loads on a bar are ?
1
and ?
2
respectively, the tangential component of the stress on an inclined plane through ?°, the longitudinal load is
Options
A. ?
1
sin ? + ?
2
cos ?
B. ?
1
sin ?
2
+ ?
2
cos
2
?
C.
D.
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Correct Answer:
2. A compound truss may be formed by connecting two simple rigid frames, by
Options
A. two bars
B. three bars
C. three parallel bars
D. three bars intersecting at a point.
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Correct Answer: three bars
3. The radius of gyration of a rectangular section (depth
D
, width
B
) from a centroidal axis parallel to the width is
Options
A.
B.
C.
D.
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Correct Answer:
4. The ratio of the section modulus of a square section of side
B
and that of a circular section of diameter
D
, is
Options
A.
B.
C.
D.
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Correct Answer:
5. In case of a simply supported I-section beam of span
L
and loaded with a central load
W
, the length of elasto-plastic zone of the plastic hinge, is
Options
A.
B.
C.
D.
E. none of these.
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Correct Answer:
6. For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is
Options
A. 0.303
B. 0.404
C. 0.505
D. 0.606
E. 0.707
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Correct Answer: 0.707
7. To determine the force in
BD
of the truss shown in the given figure a section is passed through
BD
,
CD
and
CE
, and the moments are taken about
Options
A.
A
joint
B.
B
joint
C.
C
joint
D.
D
joint.
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Correct Answer:
C
joint
8. In case of principal axes of a section
Options
A. sum of moment of inertia is zero
B. difference of moment inertia is zero
C. product of moment of inertia is zero
D. none of these.
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Correct Answer: product of moment of inertia is zero
9. For calculating the permissible stress
is the emprical formula, known as
Options
A. Straight line formula
B. Parabolic formula
C. Perry's formula
D. Rankine's formula.
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Correct Answer: Rankine's formula.
10. The strain energy due to volumetric strain
Options
A. is directly proportional to the volume
B. is directly proportional to the square of exerted pressure
C. is inversely proportional to Bulk modulus
D. all the above.
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Correct Answer: all the above.
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