A steel plate d x b is sandwiched rigidly between two timber joists each D x B/2

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A steel plate d x b is sandwiched rigidly between two timber joists each D x B/2 in section. The moment of resistance of the beam for the same maximum permissible stress ? in timber and steel will be (where Young's modulus of steel is m times that of the timber).
Options
A.
B.
C.
D.

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1. Maximum principal stress theory for the failure of a material at elastic point, is known
Options
A. Guest's or Trecas' theory
B. St. Venant's theory
C. Rankine's theory
D. Haig's theory
E. Von Mises's theory.

2. The eccentricity (e) of a hollow circular column, external diameter 25 cm, internal diameter 15 cm for an eccentric load 100 t for non-development of tension, is
Options
A. 2.75 cm
B. 3.00 cm
C. 3.50 cm
D. 4.25 cm
E. 5.0 cm

3. A short column (30 cm x 20 cm) carries a load P₁ at 4 cm on one side and another load P₂ at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P₁ to P₂ will be
Options
A.
B.
C.
D.

4. A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised
Options
A. steel experiences tensile force
B. brass experiences compressive force
C. composite beam gets subjected to a couple
D. composite beam bends
E. All the above.

5. Pick up the correct statement from the following:
Options
A. A wire wound in spiral form, is called a helical spring
B. The pitch of a close coil spring, is very small
C. The angle made by the coil with horizontal, is called the angle of helix
D. In the open coil helical spring, the angle of helix is comparatively large
E. All the above.

6. A masonry dam (density = 20, 000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be
Options
A. 75 N/m²
B. 750 N/m²
C. 7500 N/m²
D. 75000 N/m²

7. Slenderness ratio of a long column, is
Options
A. area of cross-section divided by radius of gyration
B. area of cross-section divided by least radius of gyration
C. radius of gyration divided by area of cross-section
D. length of column divided by least radius of gyration.

9. If normal stresses due to longitudinal and transverse loads on a bar are ?₁ and ?₂ respectively, the normal component of the stress on an inclined plane ?� to the longitudinal load, is
Options
A. ?₁ sin ? x ?₂ cos ?
B. ?₁ sin ?² + ?₂ cos² ?
C.
D.

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