Von mises and Tresca criteria give different yield stress for
According to the maximum normal stress theory, the diameter of circular shaft subjected to bending moment M and torque T is
(where σy is the yield stress in the uniaxial tensile test and N is the factor of safety)
A rod having a cross-sectional area of 100 x 10⁻⁶ m² is subjected to a tensile load. Based on the Tresca failure criterion, if the uniaxial yield stress of the material is 200 MPa, the failure load is:
Which theory is best to estimate failure load for a ductile material ?
Region of safety for maximum principal stress theory under bi-axial stress is shown by:
Design of shafts made of brittle material is based on
For ductile materials the most appropriate failure theory is
Consider the following theories of failure.The most suitable for ductile materials is?
Maximum principal stress theory
Maximum strain theory
Maximum shear stress theory
Maximum distortion energy theory
Which theory of failure will you use for aluminum components under steady loading?
Lame's equation is used to find stresses in
An air vessel has circumferential stress of 267.75 N/mm²; longitudinal stress of 133.875 N/mm²; value of Young's modulus E = 2.1 x 10⁵ N/mm², Poisson's ratio m = 0.3: value of the circumferential strain will be
Which of the following is the formula for circumferential stress in a thin-walled cylinder? (Where d = diameter of shell
and t = thickness of shell)
A thin seamless pipe of diameter 'd' m is carrying fluid under a pressure of 'p' kN/cm². If the maximum stress is not exceed 'ơ' kN/cm², the necessary thickness 't' of metal in cm will be given as
A boiler of 1.6 m diameter is made of a 20-mm thick plate. What will be the permissible steam pressure in the boiler in the maximum tensile stress in the plates must NOT exceed 80 MPa?
In an internally pressurized thick cylinder
A cylindrical pipe of diameter 1.5 m and thickness 1.5 cm is subjected to internal fluid pressure of 1.2 N/mm². Determine the longitudinal stress developed in the pipe.
Ratio of longitudinal stress to hoop stress in a thin cylinder is
Which of the following is not a real-life application of thin-walled pressure vessels?
The distribution of stresses in a thick spherical shell are:
A thick cylinder is subjected to an internal pressure of 60 MPa. Hoop stress on the outer surface is 150 MPa. Hoop stress on the internal surface is
a seamless pipe of 600 mm diameter contains a fluid pressure of 3 N/mm². If permissible tensile stress is 120 N/mm², what will be the minimum thickness of the pipe?
What is the maximum possible radius of a sphere of thickness 1 cm made of a metal with maximum allowable stress as 90 MPa that can hold an internal pressure of 15 MPa without failing ?
Hoop stress in thin walled cylinder is
For a rivetted thin cylindrical shell of internal diameter (d), thickness of shell wall (t) and internal pressure (P) with efficiency of longitudinal joint (μi); the hoop stress (σc) will be given by:
A thin walled cylindrical vessel of wall thickness 't' and diameter 'd' is filled with gas to a gauge pressure of p, the maximum shear stress on the pressure wall will be
A thick cylinder with 10 mm internal diameter and 20 mm external diameter, is subjected to an internal fluid pressure of
60 MPa. The hoop stress at the inner surface is
A seamless pipe having a diameter of 600 mm and thickness of 9 mm, contain the fluid under a pressure of 4 MPa, find the longitudinal stress developed in the pipe.
A thin cylinder of 'D' internal diameter, is subjected to an internal pressure of 'P'. If the permissible tensile stress is σt, the cylinder wall thickness should be
Determine the axial strain in the cylindrical wall at the mid depth, when the Young's modulus and the Poisson's ratio of the container material is 200 GPa and 0.6 respectively. The axial and the circumferential stress are equal and its value is 20 MPa.
Calculate the circumferential stress on a thin-walled pressure tank that experiences an internal pressure of 4 MPa and external pressure of 2.5 MPa. The tank is 50 mm thick with a diameter of 200 mm.
What is the volumetric strain in the thin cylinder subjected to internal pressure having hoop stress of 200 MPa,
modulus of elasticity, E = 200 GPa and Poisson's ratio = 0.25?
If X is the circumferential stress and Y is the longitudinal stress with reference to a thin-walled pressure vessel, then which of the following is TRUE?
Water is flowing in a pipe of 200 cm diameter under a pressure head of 10000 cm. The thickness of the pipe wall is 0.75 cm. The tensile stress in the pipe wall in MPa is:
The maximum value of the shear stress in the thin walled cylindrical vessel of diameter d and subjected to internal
pressure P is given as
For a thin spherical shell subjected to internal pressure, the ratio of volumetric strain to diametrical strain is.
The Hoop stress developed in the thin cylinders is given by-
(where P = Internal pressure, d = Internal diameter and t =wall thickness)
In a thick cylinder pressurized from inside, the hoop stress is maximum at :
A solid round bar of 6 cm diameter is 2.5 m long. It is used as column with one end fixed and other end hinged. If elastic modulus is 200 GPa, the Euler's buckling load will be
If the diameter of a long column is reduced by 20%, the percentage of reduction in Euler buckling load is
Vertical columns of the same material, height and weight have the same end conditions. Which cross-section will carry the maximum load?
Column A has both its ends fixed, and column B has one end fixed and the other end free. The ratio of the buckling load of column A to that of column B is:
Steel column pinned at both ends has a modulus of elasticity E=2×105N/mm2, moment of inertia I = 90000mm, L = 1.75 m, value of Euler's critical load will be
The diameter of long column is D buckling load is P. If the diameter is reduced by 50% new buckling load will be:
The equivalent length of a column as per Euler's theory whose one end is fixed and the other end is hinged is given by
In the Euler's crippling load, the column which has both ends fixed is _______________times of the column which has both ends hinged.
____________is defined as the maximum axial load that a column can carry and still remain straight.
The equivalent length of the column when both the ends are fixed is
Which of the following is true for ideal column compressed by an axial load (P)?