Strength of Material Sheet 31

If the loads and reactions of the beam shown in Fig. 10.35 are as given in the figure,

  the thrust diagram on the section of the beam, taking tension positive, will be 

Consider the following statements:

1.In a member subjected to uniaxial tensile force the maximum normal stress is the external load divided by the maximum

cross sectional area.

2. When the structural member is subjected to uniaxial loading, the shear stress is zero on a plane where the normal

stress is maximum.

3. In a member subjected to uniaxial loading, the normal stress on the planes of maximum shear stress is less than the

maximum.

      Of these statements

A bar of circular cross section varies uniformly from a cross section $2D$ to $D$. If extension of the bar is calculated treating

it as a bar of average diameter, then the percentage error will be 

The SFD and BMD for a beam are shown in 10.30(a) and 10.30(b). The corresponding loading diagram would be 

Consider the following statements :

1. If a beam has two axes of symmetry, even then shear centre does not coincide with the centroid.

       2. For a section having one axis of symmetry, the shear centre does not concincide with the centroid but lies on the

axis of symmetry.

       3. If a load passes through the shear centre, then there will be only bending in the cross section and no twisting.

      Of these statements

If $E=2.06 x {10}^5 N/m{m}^2,$an axial pull of $60 kN$ suddenly applied to a steel rod $50 mm$ in diameter and 

$4 m$ long, causes an instantaneous elongation of the order of 

   Consider the following statements for a rectangular footing of length $\text{'}l‵$ and breadth $\text{'}b‵$ applied with load $P$ as

shown in Fig. 10.22:

 1. The stresses developed at points $A$ and $D$ are equal.

 2. The

Which one of the following pairs is not correctly matched ?

Consider the following statements:

If two planes at right angles carry only shear stress of magnitude $\text{'}q‵$, then the 

 1. diameter of Mohr's circle would equal $2q$.

 2. centre of the Mohr's circle would lie at the origin

 3. principal stresses are unlike and have magnitude $\text{'}q‵$

 4. angle between the principal plane and the plane of maximum shear would be equal to $45°$

Four vertical columns of the same material, height and weight have the same end conditions. The buckling load will be the

largest for a column having the cross section of  a/an