# Practice Test: Question Set - 12

**1. A material which obeys Hook's law is subjected to direct stress Ïƒ**

_{0}. At its elastic limit, the following statement is true,- (A) Strain is
equal to

*Ïƒ*/

_{0}*E*

- (B) Maximum
shear stress =

*Ïƒ*/2

_{0}- (C) Strain
energy =

*Ïƒ*²/2

_{0}*E*× volume

- (D) All the
above

**2. A truss containing**

*j*joints and*m*members, will be a simple truss if- (A)

*m*= 2

*j*- 3

- (B)

*j*= 2

*m*- 3

- (C)

*m*= 3

*j*- 2

- (D)

*j*= 3

*m*- 2

**3. In plastic analysis, the shape factor for a triangular section, is**

- (A) 1.5

- (B) 1.34

- (C) 2.34

- (D) 2.5

**4. A three hinged arch is generally hinged at its supports and**

- (A) At one
quarter span

- (B) At the crown

- (C) Anywhere in
the rib

- (D) None of
these

**5. A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm**

^{2}and Poisson's ratio is 0.25, the change in the volume of the bar is:- (A) 1.125 cm

^{3}

- (B) 2.125 cm

^{3}

- (C) 3.125 cm

^{3}

- (D) 4.125 cm

^{2}

**6. Stress may be defined as**

- (A) Force per
unit length

- (B) Force per
unit volume

- (C) Force per
unit area

- (D) None of
these

**7. A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If**

*E*= 2 × 10_{steel}^{6}kg/cm^{2}, the side of the rod, is- (A) 1 cm

- (B) 1.5 cm

- (C) 2 cm

- (D) 2.5 cm

**8. The equivalent length of a column of length**

*L*, having both the ends hinged, is- (A) 2

*L*

- (B)

*L*

- (C)

*L*/2

- (D)

*L*/√2

**9. Pick up the correct statement from the following:**

- (A) The bending
stress in a section is zero at its neutral axis and maximum at the outer fibres

- (B) The
shear stress is zero at the outer fibres and maximum at the neutral axis

- (C) The bending
stress at the outer fibres, is known as principal stress

- (D) All the
above

**10. Total strain energy theory for the failure of a material at elastic limit, is known**

- (A) Guest's or
Trecas' theory

- (B) St.
Venant's theory

- (C) Rankine's
theory

- (D) Haig's
theory

**11. There are two hinged semicircular arches**

*A, B*and*C*of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load*W*at their crowns. The horizontal thrust at their supports will be in the ratio of- (A) 1 : 1½ : 2

- (B) 2 : 1½ : 1

- (C) 1 : 1 : 2

- (D) None of
these

**12. The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l**

*t*per horizontal length is (where*I*is the M.I. at the crown, which varies as the slope of the arch)._{c}- (A) 50/

*EI*

_{c}- (B) 100/

*EI*

_{c}- (C) 150/

*EI*

_{c}- (D) 200/

*EI*

_{c}**13. For beams of uniform strength, if depth is constant,**

- (A) Width

*b*∝

*M*

- (B) Width

*b*∝ √

*M*

- (C) Width

*b*∝ 3 √

*M*

- (D) Width

*b*∝ 1/

*M*

**14. Stress may be expressed in Newtons**

- (A) Per
millimeter square (N/mm

^{2})

- (B) Per
centimeter square (N/cm

^{2})

- (C) Per meter square (N/m

^{2})

- (D) None of
these

**15. The maximum magnitude of shear stress due to shear force**

*F*on a rectangular section of area*A*at the neutral axis, is- (A)

*F*/

*A*

- (B)

*F*/2

*A*

- (C) 3

*F*/2

*A*

- (D) 2

*F*/3

*A*

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