GATE CE

Strength of Materials Or Solid Mechanics

Simple Stresses

Previous Years Questions

## Marks 1

In a material under a state of plane strain, a 10×10 mm square centered at a point gets
deformed as shown in the figure.
If the shear strain $$\gamma...

An elastic bar of length L, uniform cross sectional area A, coefficient of thermal expansion
a, and Young’s modulus E is fixed at the two ends. The te...

A tapered circular rod of diameter varying from 20 mm to 10 mm is connected to another uniform
circular rod of diameter 10 mm as shown in the followin...

The Poisson's ratio is defined as

The number of independent elastic constants for a linear elastic isotropic and
homogeneous material is

For an isotropic material, the relationship between the young’s modulus (E),
shear modulus (G) and Poisson’s ratio (μ) is given by

The shear modulus (G), modulus of elasticity (E) and the Poisson's ratio ($$\mu$$) of a material are related as

The stress-strain diagram for two materials A and B is shown below:
The following statements are made based on this diagram:
I. Material A is more br...

Pick the incorrect statement from the following four statements:

The maximum value of Poisson's ratio for an elastic material is

A cantilever beam of tubular section consists of 2 materials copper as outer cylinder and steel as inner cylinder. It is subjected to a temperature ri...

In a linear elastic structural element

The principle of superposition is made use of in structural computations when:

## Marks 2

An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no
change in the volume to occur, what should be its Poisson...

A box of weight 100 kN shown in the figure is to be lifted without swinging. If all forces are
coplanar, the magnitude and direction ($$\theta$$) of t...

A metal bar of length 100mm is inserted between two rigid supports and its
temperature is increased by $$10^o$$C. If the coefficient of thermal expans...

The axial movement of top surface of stepped column as shown in figure is
...