A thin cylindrical steel pressure vessel of diameter 6cm and wall thickness 3mm is subjected to an ultimate fluid pressure of intensity P, then the bursting pressure will be

Two closed thin vessels, one cylindrical and the other spherical with equal internal fluid pressure. The ratio of hoop of stresses in the cylindrical to that of spherical vessel is

Thickness ratio for cyclindrical shell(t_c) and sphere(t_s), for same maximum stress in both side will be

Consider the following statements in respect of a thick cylinder subjected to internal pressure.

1.The stress on an element on the outer wall is unidirectional

2. The stresses on an element on an element on the inner wall are principle  stresses

3. The constants of the Lame’s equation are positive

Which of these statements are correct?

The variation of the hoop stress across the thickness of a thick cylinder is

In an internally pressurized thick cylinder, the hoop stress

1 Remains constant but the radial stress varies parabolically.

2 Varies parabolically but the radial stress remains constant.

Which of the above is/ are coreect 

Torsion applied to a circular shaft results in a twist of 1$°$over a length of 1m. The maximum shear stress induced is 120 N/$m{m}^2$ and the modulus of rigidity of the shaft material is 0.8 × 10² N/mm². What is the radius of the shaft?

A circular shaft of diameter 30mm having shear modulus G= 80 GPa is subjected to moment as shown below. What is the maximum shear stress developed at periphery of shaft at A.

A circular shaft of length “L”, uniform cross-sectional area “A” and modulus of rigidity “G” is subjected to a twisting moment that produces maximum shear stress “$\tau$” in the shaft. Strain energy in the shaft is given by the expression $\frac{{\tau }^{2}AL}{KG}$where K is equal to

The diameter of shaft B is twice that of shaft A, both shaft have the same length and are of same material. If both are subjected to the same torque, then the ratio of the angle of twist of shaft A to that of shaft B will be-

A bar of circular cross-section of diameter “D” is subjected to a torque T at B as shown in the figure given below. What is the angle of twist at A?

If

A= Cross- section area

E= Young’s modulus of elasticity

G= Modulus of rigidity

I= Moment of inertia

J= Polar moment of inertia

Then torsional rigidity is given by

The maximum shear stress in a solid shaft of circular cross- section having diameter “d” subjected to a torque T is $\tau$. If the torque is increased by four times and the diameter of the shaft is increased by two times, the maximum shear stress in the shaft will be-

A solid circular shaft has been subjected to a pure torsion moment. The ratio of maximum shear stress at any point would be-

A 60 mm diameter shaft is subjected to a torque of 6 KN-m. G = 8$\times {10}^{4}N/m{m}^2$. The maximum shear stress induce in the shaft in $N/m{m}^2$will be

The power transmitted by a 75mm diameter at 140 rpm subjected to a maximum shear stress of 60 ${\text{ N/mm}}^2$, is nearly.

The shear centre of a section is defined as that point

A rotating shaft carrying a unidirectional transverse load is subjected to

If E=elasticity modulus, I=moment of inertia about the neutral axis and M=bending moment in pure bending under the symmetric loading of a beam, the radius of curvature of the beam:

1. increases with E

2. increases with M

3. Decreases with I

4. Decreases with M

Which of these are correct?

The magnitude of shear stress induced in a shaft due to applied torque varies

The ratio of the section moduli of a square beam (Z) when square section is placed

(1)   with two sides horizontal (Z₁) and

(2)    with a diagonal horizontal (Z₂) as shown is:

A beam having rectangular cross-section is subjected to an external loading. The average shear stress developed due to the external loading at a particular cross-section is${\tau }_{avg}$. What is the maximum shear stress developed at the same cross-section due to the same loading?

What is the shape of the shearing stress distribution across a rectangular cross-section beam?

In the case of beams with circular cross-section, what is the ratio of the maximum shear stress to average shear stress?

Beam A is simply supported at its ends and carries UDL of intensity ‘w’ over its entire length. It is made of steel having Young’s modulus E. Beam B is cantilever and carries a udl of intensity w/4 over its entire length. It is made of brass having Young’s modulus E/2. The two beams are of same length and have same cross-sectional area. If ${\sigma }_A$and ${\sigma }_B$denote the maximum bending stresses developed in beams A and B, respectively, then which one of the following is correct?