Strength of Materials

Q. Parallelogram law of forces states that if two forces acting simultaneously at a point be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by

1. longer side of the other two sides
2. shorter side of the other two sides
3. diagonal of the parallelogram which does not pass through their point of intersection
4. diagonal for the parallelogram which passes through their point of intersection

Q. In a thin cylindrical shell, the ratio of longitudinal stress to hoop stress is

1. 0.5
2. 1.0
3. 1.5
4. 2.0

Q.

Given:

$$\begin{gathered} \left(1\right){\mathrm{Cu}}^{2+}+2{\mathrm{e}}^{-}\to \mathrm{Cu},\mathrm{E}°=0.337\mathrm{V} \\ \left(2\right){\mathrm{Cu}}^{2+}+{\mathrm{e}}^{-}\to {\mathrm{Cu}}^{+},\mathrm{E}°=0.153\mathrm{V} \end{gathered}$$.

What will be the Electrode potential E for the reaction: ${\mathrm{Cu}}^{+}+{\mathrm{e}}^{-}\to \mathrm{Cu}$

1. 0.30 V

2. 0.38 V

3. 0.52 V

4. 0.90 V

Q.

What is mechanical force?

Q. A propped cantilever beam of span ' L' is loaded with $u.d.l$ of intensity $w/unit$ length, all through the span. Bending Moment at the fixed end is

1. $W{L}^2/8$
2. $W{L}^2/2$
3. $W{L}^2/12$
4. $W{L}^2/24$

Q. The relationship between Young's Modulus E, Modulus of Rigidity C and Bulk Modulus K in an elastic material is given by the relation

1. $E=\frac{9KC}{3K+C}$
2. $E=\frac{3KC}{3K+C}$
3. $E=\frac{9KC}{9K+C}$
4. $E=\frac{3KC}{9K+C}$

Q.

Modulus of rigidity of ideal liquids is

1. infinity

2. zero

3. unity

4. some finite small non - zero

Q. The stiffness of a spring is

1. Load per coil of the spring
2. Load required to produce unit deflection
3. Load required to compress the spring up to shearing proportional limit.
4. The load required for breaking the spring.

Q.

What is the difference between a thin cylinder and a thick cylinder?

Q. For simply supported beams, the allowable deflection shall not exceed:

1. 1/325 of span
2. 1/350 of span
3. 1/375 of span
4. 1/400 of span

Q. A propped cantilever beam of span 'L' is loaded with uniformly distributed load of intensity w/unit length, all through the span. Bending moment at the fixed end is

1. $\frac{W{L}^2}{8}$
2. $\frac{W{L}^2}{2}$
3. $\frac{W{L}^2}{12}$
4. $\frac{W{L}^2}{24}$

Q. A beam of overall length l with equal overhangs on both sides, carries a uniformly distributed load over the entire length. To have numerically equal bending moments at the centre of the beam and at its supports, the distance between the supports should be

1. 0.277 l
2. 0.403 l
3. 0.586 l
4. 0.707 l

Q. What is the ratio of maximum shear stress to average shear stress for a circular section?

1. 2
2. 2/3
3. 4/3
4. 3/4

Q. A simply supported beam is subjected to a uniformly distributed load of intensity w per unit length, on half of the span from one end. The length of the span and the flexural stiffness are denoted as l and EI respectively. The deflection at mid-span of the beam is

1. $\frac{5}{6144}\frac{w{l}^4}{EI}$
2. $\frac{5}{768}\frac{w{l}^4}{EI}$
3. $\frac{5}{384}\frac{w{l}^4}{EI}$
4. $\frac{5}{192}\frac{w{l}^4}{EI}$

Q. For a circular column having its ends hinged, the slenderness ratio is 160. The 1/d ratio of the column is

1. 80
2. 57
3. 40
4. 20

Q. When a thin cylindrical shell is subjected to an internal pressure, there will be

1. A decrease in diameter and length of the shell
2. An Increase in diameter and decrease in length of the shell
3. A decrease in diameter and increase in length of the shell
4. None of these

Q.

A cable breaks if stretched by more than $2mm$. It is cut into two equal parts. How much either part can be stretched without breaking?

1. $0.25m$

2. $0.5mm$

3. $1mm$

4. $2mm$

Q. A rectangular beam of width 200 mm and depth 300 mm is subjected to a shear force of 200 kN. The maximum shear stress produced in the beam is

1. 10.0MPa
2. 7.5 MPa
3. 5.0 MPa
4. 3.33 MPa

Q. A hollow circular shaft has an outer diameter of 100 mm , inner diameter of 50mm and a wall thickness of 25 mm. The allowable shear stress in the shaft is 125 MPa. The maximum torque the shaft can transmit is

1. 46 kN m
2. 24.5 kN m
3. 23 kN m
4. 11.5 kN m

Q. In terms of bulk modulus (K) and modulus of rigidity (G), Poisson's ratio can be expressed as

1. $\frac{3K-4G}{6K+4G}$
2. $\frac{3K+4G}{6K-4G}$
3. $\frac{3K-2G}{6K+2G}$
4. $\frac{3K+2G}{6K-2G}$

Q. The maximum and minimum shear stresses in a hollow circular shaft of outer diameter 20 mm and thickness 2 mm, subjected to a torque of 92.7 N.m will be

1. 59 MPa and 47.2 MPa
2. 100 MPa and 80 MPa
3. 118 MPa and 160 MPa
4. 200 MPa and 160 MPa

Q. A rectangular beam of width 100 mm is subjected to a maximum shear force of 60 kN. The corresponding maximum shear stress in the cross-section is $4N/m{m}^2$. The depth of the beam should be

1. 200 mm
2. 150 mm
3. 100 mm
4. 225 mm

Q. The width of the strongest beam of rectangular section that can be cut out of a cylindrical log of wood whose diameter is 300 mm would be

1. 104.5 mm
2. 156.2 mm
3. 202.6 mm
4. 173.2 mm

Q. A cantilever beam of length $L$ is subjected to a moment $M$ at the free end. The moment of inertia of the beam cross section about the neutral axis is $I$ and the young's modulus is $E$. The magnitude of the maximum deflection is

1. $\frac{M{L}^2}{2EI}$
2. $\frac{M{L}^2}{EI}$
3. $\frac{2M{L}^2}{EI}$
4. $\frac{4M{L}^2}{EI}$

Q. The maximum deflection of a fixed beam carrying a central load W is equal to

1. $\frac{W{L}^3}{484EI}$
2. $\frac{W{L}^3}{96EI}$
3. $\frac{W{L}^3}{192EI}$
4. $\frac{5}{384}\frac{W{L}^3}{EI}$

Q.

What is angle of twist?

Q.

Define strain energy and derive the equation for the same.

Q. For a simply supported beam on two end supports, the bending moment is maximum

1. usually on the supports
2. always at mid span
3. where there is no shear force
4. where the deflection is maximum

Q. For the overhanging beam shown in figure, the magnitude of maximum bending moment (in kNm) is

1. 40

Q. A timber beam is 100 mm wide and 150 mm deep. The beam is simply supported and carries a central concentrated load W. If the maximum stress in shear is $2N/m{m}^2$, what would be the corresponding load W on the beam?

1. 20 kN
2. 30 kN
3. 40 kN
4. 25 kN