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Strength-of-materials Questions Set 18:

Quiz Mode

What is the maximum shear stress in a thin cylindrical shell?

pr/2t

pr/3t

pr/4t

pr/5t

Solution:

For a beam with a diameter of 100 mm, determine the section modulus.

87 × 10³ mm³

785 × 10³ mm³

456 × 10³ mm³

98 × 10³ mm³

Solution:

A body has a mass of 10 kg and a radius of gyration of 0.3 m. What is its mass moment of inertia?

3 kg-m²

0.9 kg-m²

9 kg-m²

0.3 kg-m²

Solution:

Find the polar moment of inertia of a circle with a diameter of 0.003 m.

7.068 × 10^-4 m^4

7.952 × 10^-12 m^4

7.952 × 10^-4 m^4

7.068 × 10^-12 m^4

Solution:

Estimate the force required to punch out a circular hole with a shear area of 376.99 mm². The ultimate shear stress of the plate is 300 N/mm².

1.256 N

676.99 N

76.99 N

113,097 N

Solution:

The Mohr Circle for a thin spherical pressure vessel will be:

A circle in the right-hand side of the origin

A point in the right-hand side of the origin

A circle in the left-hand side of the origin

A point in the left-hand side of the origin

Solution:

A steel rod with its free expansion prevented is heated by a temperature difference of 60°C. Given the coefficient of thermal expansion for steel is 12 × 10^-6/°C and the modulus of elasticity is 200 GPa, calculate the thermal stress induced in the rod.

323 MPa

186 MPa

243 MPa

144 MPa

Solution:

Under which condition is the Superposition principle not valid for the deflection of a beam?

Hooke's law holds for the material

The deflections and rotations are small

The presence of the deflection does not alter the actions of applied loads

The deflections and rotations are considerably large

Solution:

A cantilever with 2 m length has a circular cross-section with 100 mm diameter. A circular disc is connected at the end of the cantilever. The distance between the center of the disc & top surface of the cantilever is 200 mm. If a robotic arm hits the centre of the disc at 4 kN force, find the maximum shear stress produced in MPa. (Round off to the nearest integer)

Solution:

A cantilever of length 4 m with cross-sectional dimensions 40mm60mm has an empty massless cylindrical container of diameter 60 mm at its free end. A spring of stiffness 84 kN/m is also connected at the free end. Find the height of mercury that needs to be filled in the cylinder for a downward deflection of 5 cm at the free end of the cantilever. Take the value of elastic modulus for the cantilever as 200 GPa. (Round off to the nearest integer)*

Strength-of-materials Questions Set 18:

What is the maximum shear stress in a thin cylindrical shell?

Solution:

For a beam with a diameter of 100 mm, determine the section modulus.

Solution:

A body has a mass of 10 kg and a radius of gyration of 0.3 m. What is its mass moment of inertia?

Solution:

Find the polar moment of inertia of a circle with a diameter of 0.003 m.

Solution:

Estimate the force required to punch out a circular hole with a shear area of 376.99 mm². The ultimate shear stress of the plate is 300 N/mm².

Solution:

The Mohr Circle for a thin spherical pressure vessel will be:

Solution:

A steel rod with its free expansion prevented is heated by a temperature difference of 60°C. Given the coefficient of thermal expansion for steel is 12 × 10^-6/°C and the modulus of elasticity is 200 GPa, calculate the thermal stress induced in the rod.

Solution:

Under which condition is the Superposition principle not valid for the deflection of a beam?

Solution:

Solution:

Solution:

Related Question Sets:

Related Topics:

Strength-of-materials Questions Set 18:

What is the maximum shear stress in a thin cylindrical shell?

Solution:

For a beam with a diameter of 100 mm, determine the section modulus.

Solution:

A body has a mass of 10 kg and a radius of gyration of 0.3 m. What is its mass moment of inertia?

Solution:

Find the polar moment of inertia of a circle with a diameter of 0.003 m.

Solution:

Estimate the force required to punch out a circular hole with a shear area of 376.99 mm2. The ultimate shear stress of the plate is 300 N/mm2.

Solution:

The Mohr Circle for a thin spherical pressure vessel will be:

Solution:

A steel rod with its free expansion prevented is heated by a temperature difference of 60°C. Given the coefficient of thermal expansion for steel is 12 × 10^-6/°C and the modulus of elasticity is 200 GPa, calculate the thermal stress induced in the rod.

Solution:

Under which condition is the Superposition principle not valid for the deflection of a beam?

Solution:

Solution:

Solution:

Related Question Sets:

Related Topics:

Estimate the force required to punch out a circular hole with a shear area of 376.99 mm². The ultimate shear stress of the plate is 300 N/mm².