Strength of Material Sheet 22

The lists given below refer to a bar of length $l$ cross sectional area $A$, Young's modulus $E$. Possion's ratio $\mu$ and subjected

to axial stress $P$. Match $List I$ with $List II$ and select

The bending moment diagram of the beam shown in Fig. 10.28 is 

In a thin walled $T$-section, the shear centre $C$ is located at the point shown in 

According to maximum shear stress failure criterion, yielding in material occurs when 

For a square-sectioned beam bent as shown in Fig. 10.25, the exaggerated view of the deformed cross-section is 

At a point in a structure, there at two mutually perpendicular tensile stresses of $800 kg/c{m}^2$ and $400 kg/c{m}^2$ .

If the Poission's ratio is μ = 0.25, what would be the equivalent stress in simple tension according to maximum principal

strain theory?

A thick cylindrical pressure vessel of inner diameter $D_1$ and outer diameter $D_{\circ }$ is subjected to an internal fluid pressure

of intensity $p$. The variation of the circumferential tensile stress $p_y$ in the thickness of the shell will be 

If two springs of stiffness $K_1$ and $K_2$ are connected in series, the stiffness of the combined spring is 

A shaft is subjected to a bending moment $M$ and a torque $T$.  The equivalent bending moment $\text{'}{M}_{eq}‵$ on the shaft is given by

A three hinged parabolic arch rib of span $\text{'}L\text{'}$ and crown rise $\text{'}h‵$ carries a uniformly distributed superimposed load of intensity $\text{'}w‵$ per unit length. The hinges are located on two abutments at the same level and the third hinge at a quarter span location from left hand abutment. The horizontal thrust on the abutment is

The resultant cuts the base of a circular column of diameter $\text{'}d‵$ with an eccentricity equal to $d/4$. The ratio between the

maximum compressive stress and the maximum tensile stress is 

If the crushing stresses in the material of a mild steel column is $3300 kg/c{m}^2$ ,  Euler's formula for crippling load is

applicable for slenderness ratio equal to/greater than 

A beam simply supported at both the ends, of length $\text{'}L‵$ carries two equal unlike couples $M$ at two ends. If the flexural

rigidity, $EI =$constant, then the central deflection of beam is given by

The principal stresses at a point in an elastic material are $1.5 \sigma$  (tensile), $\sigma$  (tensile), and $\sigma /2$ (compressive).  If

the elastic limit in simple tension is $2000 kg/c{m}^2$ and the poission's ratio is $0.30$, then the v

According to Tresca, yield locus is a/ an

A bar of square section is subjected to a pull of $10,000 kg$. If the maximum allowable shear stress on any section is

 $500 kg/c{m}^2$, then the side of the square section will be 

Consider the following statements with reference to a continuous beam supported at $A$, $C$ and $E$ for which the shear

force diagram is shown in Fig. 10.13.

               There is 

  1. a concentrated load acting at point Answer.

A long construction member of uniform section is to be lifted using ropes at $C$ and $D$  ( see Fig. 10.12 (a)). This

causes bending moment due to self weight as shown in Fig. 10.12 (b). To minimise the peak value of bending moment,

the overhang $\text{'}b‵$ shall be such, that

An elastic bar of length $\text{'}1‵,$ cross sectional area $A$, Young's modulus of elasticity $E$ and self weight $w$ is hanging

vertically. It is subjected to a load $P$ applied axially at the bottom end. The total elongation of the bar is given by

A cast iron block of  $5 sq. cm.$  cross section carries an axial tensile load of  $10 t.$ Then maximum shear stress in the 

block is given by