Strength of Material Sheet 14

A round bar made of same material consists of $3$ parts each of $100 mm$ length having diameters of $40 mm$, 

$50 mm$ and $60 mm$ respectively. If the bar is subjected to an axial load of 

Shear centre of a semi circular arc strip of radius $\text{'}r\text{'}$ will be at a distance of $X$ from the centre of the arc, Where $\text{'}X\text{'}$ is equal to  

The limit of proportionality of a certain sample is $300 Mpa$ in simple tension. It is subjected to principal stresses of 

$150 Mpa$ (tensile), $60 Mpa$ (tensile) and $30 Mpa$(tensile). According to the maximum principal stress theory, the

A mild steel bar is in two parts having equal lengths. The area of cross section of Part-I is doubled that of Part-II. If the

bar carries an axial load $\text{'}p\text{'}$, then the ratio of elongation in part-I to that in part-II will be 

In an experiment it is found that the bulk modulus of a material is equal to its shear modulus. The Poission's ratio is 

In a plane stress problem there are normal tensile stresses ${\sigma }_x$and ${\sigma }_y$ accompanied by shear stress ${\tau }_{xy}$ at a point

along orthogonal cartesian coordinates $x$ and $y$ respectively. If it is observed that the minimum principal stress on a

certa

If the eccentricity of total self weight $\text{'}W \text{'}$ of a masonry dam at its base is equal to one fourth of the base width $\text{'}B\text{'},$ then

the maximum pressure at the base is given by 

A cast iron pipe of $1m$ diameter is required to withstand a $200 m$ head of water. If he limiting tensile stress of the pipe

material is $20 Mpa$, then the thickness of the pipe will be 

An overhang beam of uniform $EI$ is loaded as shown in Fig. 10.45. 

The deflection at the free end will be 

A beam of square cross-section $\left(B x B\right)$ is used as a beam with one diagonal horizontal. The location of the maximum

shear stress from the neutral axis will be at a distance of 

A beam of length $10 m$ carries a udl of $20 KN/m$ over its entire length and rests on two simple supports. In order

that the maximum $BM$ produced in the beam is the least possible, the supports must be placed from the ends at a

distance of 

A rectangular timber beam is cut out of a cylindrical log of diameter $\text{'}D\text{'}.$ The depth of the strongest timber beam will be 

When a mild steel specimen fails in a torsion-test, the fracture looks like

In a rectangular element subjected to like principal tensile stresses $p_1$ and $p_2$ in two mutually perpendicular directions $x$ and $y$ , the maximum shear stress would occur along the 

In a stressed body, an elementery cube of material is taken at a point with its faces perpendicular to $x$ and $y$ reference

axes. Tensile stresses equal to $15 kN/c{m}^2$  and $9 kN/c{m}^2$ are observed on these respective faces. They are also

accompanied by shear stresses equal to Answer.

Consider the following statements:

1. On a planes having maximum and minimum principal stresses, there will be no tangential stress.

      2.  Shear stresses on mutually perpendicular planes are numerically equal.

      3.  Maximum shear stress is equal to half the sum of the maximum and minimum principal stresses.

   Of these statements:

The cross-section of a bar is subjected to a uniaxial tensile stress $p$. The tangential stress on a plane inclined at $\varnothing$ to the

cross-section of the bar would be

In terms of bulk modulus $\left(K\right)$ and modulus of rigidity $\left(C\right)$, the Poission's ratio can be expressed as 

A steel cube of volume $8000 cc$ is subjected to an all round stress of $1300 kg/sq.cm.$ The bulk modulus of the material is $1.33 x {10}^6 kg/c{m}^2$. The volumetric change is 

Given that for an element in a body of homogenous isotropic material subjected to plane stress; ${\epsilon }_{x, }{\epsilon }_y$ and ${\epsilon }_z$ are

normal strains in $x$, $y$ and $z$ directions respectively and $\mu$ is the Poissi