Strength of Mat...

The principal stresses at a point in a stressed material are σ₁ = 200 N/mm², σ₂ = 150 N/mm², and σ₃ = 200 N/mm².

Two uniform steel rods A and B of the same length having diameters d and 2d are subjected to tensile forces P and 2P respectively. Then the strain energy in both rods will be

Which of the following statements can be true about the shape of the elastic curve during the deflection of the beam?

In the case of an engineering material under unidirectional stress in the x -direction, the Poisson's ratio is equal to (symbols have the usual meanings)

If a piece of material neither expands nor contracts in volume when subjected to stress, then the Poisson‟s ratio must be

A mild steel bar is subjected to an axial force P, resulting in an axial stress σ_x = 100 N/mm². What would be the normal stress σ_n on a plane n-n making an angle θ = 45° with its axis?

Find the maximum bending stress (in MPa) induced on an aluminium wire with E = 70 GPa and diameter equal to 1 mm when wound on a drum of diameter 1 m.

Elastic stress of a mild steel specimen in the tensile test is found to be 250 N/mm² and neck formation takes place at 800 N/mm². Elastic strain measured by strain gauge is 0.12%. Modulus of elasticity of mild steel is (GPa) ______.

If modulus of rigidity of a material is 80 GPa and modulus of elasticity is 200 GPa, what will be the bulk modulus of material?

The maximum energy that can be absorbed up to the elastic limit, without creating a permanent distortion is called

A welded steel cylindrical drum made of a 10 mm thick plate has an internal diameter of 1.20 m. Find the change in diameter that would be caused by internal pressure of 1.5 MPa. Assume that Poisson's ratio is 0.30 and E = 200 GPa (longitudinal stress, σ_y = pD/4t circumferential stress, σ_x = pD/2t). 

A steel rod of 50 mm diameter is 4m long. In a test, a pull of 80 kN is suddenly applied to it. Take E = 200 GPa. Elongation due to suddenly applied load is _____mm.

A cantilever beam is subjected to a UDL. The cross-section of the beam is an H-section placed as shown in Fig. The bending stress distribution across the cross-section will be

A thin cylinder of inner radius 500 mm and thickness 10 mm is subjected to an internal pressure of 5 MPa. The average circumferential (hoop) stress in MPa isb

The axial and circumferential stress (σ_a ,σ_c) experienced by the cylinder wall at middepth (1 m as shown) are

A concentrated load P is applied at the end of a cantilever as shown in figure. The cross section of the beam is a square of side ‘a’ with a hole of a dia ‘a/2’. The deflection at the tip of the cantilever is given by

A thin cylindrical shell is subjected to internal pressure p. The Poisson's ratio of the material of the shell is 0.3. Due to internal pressure, the shell is subjected to circumferential strain and axial strain. The ratio of circumferential strain to axial strain is:

A penstock pipe of 10m diameter carries water under a pressure head of 100 m. If the wall thickness is 9 mm, what is the tensile stress in the pipe wall in MPa?

A 20 kN weight is suspended by two wires as shown in the figure. The length of each wire is 2 meters. The steel wire (E value 200 GPa) has a cross-sectional area of 60 × 10^-6 m² and the aluminum wire (E value 70 GPa) has a cross-sectional area of 120 × 10^-6 m². The stress in aluminium wire is

A steel ball of diameter 7 mm is used in the Brinell Hardness test to find the BHN of a specimen. If at a load of 240 kg the indentation diameter was found to be 3 mm, then calculate the BHN of the specimen.

The volumetric strain in case of a thin cylindrical shell of diameter d, thickness t, subjected to internal pressure p is:

(Where E = Modulus of elasticity, μ = Poisson's ratio for the shell material)

A thin walled water pipe carries water under a pressure of 2 N/mm² and discharges water into a tank. Diameter of the pipe is 25 mm and thickness is 2·5 mm. What is the longitudinal stress induced in the pipe?

A round bar of length l , elastic modulus E and Poisson's ratio μ is subjected to an ax ial pull 'P'. What would be the change in volume of the bar?

The cross section of a compound bar 1 m long is as shown in figure. If the temperature is raised by 80°C determined the stresses (in N/mm²) in each metal

E_ss = 2 × 10⁵ N/mm, E_c = 1 × 10⁵ N/mm², αc = 16 × 10-6/˚C, αs = 12 × 10-6/˚C

A_ss = 600 mm², A_c = 200 mm² 

A thick cylinder is subjected to an internal pressure of 60 MPa. If the hoop stress on the outer surface is 150 MPa, then the hoop stress on the internal surface is: