232 + Interview Questions in Strength of Materials Page 1 InterviewSolution

1.	The longitudinal strain of a cylindrical bar of 25 mm diameter and 1.5 m length is found to be 3 times its lateral strain in a tensile test. What is the value of Bulk Modulus by assuming E=1×105 N/mm2?
Answer» The longitudinal strain of a cylindrical bar of 25 mm diameter and 1.5 m length is found to be 3 times its lateral strain in a tensile test. What is the value of Bulk Modulus by assuming $E = 1 \times 10^{5} N / m m^{2} ?$

Discussion

2.	The two circular shafts made of same material, one solid(S) and one hollow(H), have the same length and polar moments of inertia. Both are subjected to same torque. Here θS is the twist and τS is the maximum shear stress in the solid shaft, whereas θH is the twist and τH is the maximum shear stress in the hollow shaft. Which one of the following is TRUE?
Answer» The two circular shafts made of same material, one solid(S) and one hollow(H), have the same length and polar moments of inertia. Both are subjected to same torque. Here $θ_{S}$ is the twist and $τ_{S}$ is the maximum shear stress in the solid shaft, whereas $θ_{H}$ is the twist and $τ_{H}$ is the maximum shear stress in the hollow shaft. Which one of the following is TRUE?

Discussion

3.	The state of stress at a point in a component is represented by a Mohr's circle of radius 100 MPa centered at 200 MPa on the normal stress axis. On a plane passing through the same point, the normal stress is 260 MPa. The magnitude of the shear stress on the same plane at the same point is ________ MPa.80
Answer» The state of stress at a point in a component is represented by a Mohr's circle of radius 100 MPa centered at 200 MPa on the normal stress axis. On a plane passing through the same point, the normal stress is 260 MPa. The magnitude of the shear stress on the same plane at the same point is ________ MPa. 80

Discussion

4.	Consider the beam AB shown in the figure below. Part AC of the beam is rigid while Part CB has the flexural rigidity EI. Identify the correct combination of deflection at end B and bending moment at end A, respectively.
Answer» Consider the beam AB shown in the figure below. Part AC of the beam is rigid while Part CB has the flexural rigidity EI. Identify the correct combination of deflection at end B and bending moment at end A, respectively.

Discussion

5.	A cast iron pipe of 1 m diameter is required to withstand a 200 m head of water. If the limiting tensile stress of the pipe material is 20 MPa, then the thickness of the pipe will be
Answer» A cast iron pipe of $1 m$ diameter is required to withstand a $200 m$ head of water. If the limiting tensile stress of the pipe material is $20 M P a$ , then the thickness of the pipe will be

Discussion

6.	The shear force diagram of a beam is shown in the figure.The absoulte maximum bending moment in the beam is
Answer» The shear force diagram of a beam is shown in the figure. The absoulte maximum bending moment in the beam is

Discussion

7.	The bending moment diagram of a beam is shown in the figure.The shear force diagram of the beam is represented by
Answer» The bending moment diagram of a beam is shown in the figure. The shear force diagram of the beam is represented by

Discussion

8.	The diagram below shows a simply supported beam with load.which one of the following diagrams is the shear force diagram for this beam?
Answer» The diagram below shows a simply supported beam with load. which one of the following diagrams is the shear force diagram for this beam?

Discussion

9.	The rectangular column shown in the figure below carries a load P having eccentricities ′e′x and ′e′y along the X-axis and Y-axis respectively. The stress at any point (x,y) is given by
Answer» The rectangular column shown in the figure below carries a load $P$ having eccentricities $^{'} e_{x}^{'}$ and $^{'} e_{y}^{'}$ along the X-axis and Y-axis respectively. The stress at any point $(x, y)$ is given by

Discussion

10.	A wire of circular cross- section of diameter 1.0 mm is bent into a circular arc of radius 1.0 m by application of pure bending moments at its ends. The Young's modulus of the material of the wire is 100 GPa . The maximum tensile stress developed in the wire is _______ MPa.50
Answer» A wire of circular cross- section of diameter 1.0 mm is bent into a circular arc of radius 1.0 m by application of pure bending moments at its ends. The Young's modulus of the material of the wire is 100 GPa . The maximum tensile stress developed in the wire is _______ MPa. 50

Discussion

11.	A thin gas cylinder with an internal radius of 100 mm is subject to an internal pressure of 10 MPa. The maximum permissible working stress is restricted to 100 MPa. The minimum cylinder wall thickness (in mm) for safe design must be ____10
Answer» A thin gas cylinder with an internal radius of 100 mm is subject to an internal pressure of 10 MPa. The maximum permissible working stress is restricted to 100 MPa. The minimum cylinder wall thickness (in mm) for safe design must be ____ 10

Discussion

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

Discussion

13.	If the crushing stress in the material of a mild steel column is 3300 kg/cm2. Euler's Formula for crippling load is applicable for slenderness ratio equal to/greater than
Answer» If the crushing stress in the material of a mild steel column is $3300 k g / c m^{2}$ . Euler's Formula for crippling load is applicable for slenderness ratio equal to/greater than

Discussion

14.	A column with one end fixed and one end free has a critical buckling load of 100 N. For the same column, if the free end is replaced with a pinned end then the critical buckling load will be ______N800
Answer» A column with one end fixed and one end free has a critical buckling load of 100 N. For the same column, if the free end is replaced with a pinned end then the critical buckling load will be ______N 800

Discussion

15.	The shear stress distribution shown in figure-I represents a beam with cross-section
Answer» The shear stress distribution shown in figure-I represents a beam with cross-section

Discussion

16.	A round bar made of same material consists of 3 parts each of 100 mm length having diameters of 40mm, 50 mm and 60 mm, respectively. If the bar is subjected to an axial load of 10 kN, the total elongation of the bar in mm would be (E is the modulus of elasticity in kN/mm2)
Answer» A round bar made of same material consists of 3 parts each of 100 mm length having diameters of 40mm, 50 mm and 60 mm, respectively. If the bar is subjected to an axial load of 10 kN, the total elongation of the bar in mm would be (E is the modulus of elasticity in kN/mm $^{2}$ )

Discussion

17.	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 following figure. Both bars are made of same material with the modulus of elasticity, E=2×105MPa. When subjected to a load P=30πkN, the deflection at point A is 15
Answer» A tapered circular rod of diameter varying from $20 m m$ to $10 m m$ is connected to another uniform circular rod of diameter $10 m m$ as shown in the following figure. Both bars are made of same material with the modulus of elasticity, $E = 2 \times 10^{5}$ MPa. When subjected to a load $P = 30 π k N$ , the deflection at point $A$ is 15

Discussion

18.	In the structure shown in the figure below, what is the distance through which the point A move towards each other ?
Answer» In the structure shown in the figure below, what is the distance through which the point A move towards each other ?

Discussion

19.	A 200 mm long, stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by 250oC. If the Young's modulus and coefficient of thermal expansion are 200 GPa and 1 x 10−5/oC, respectively, the magnitude of the longitudinal stress (in MPa) developed in the rod is 500
Answer» A 200 mm long, stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by $250^{o} C$ . If the Young's modulus and coefficient of thermal expansion are 200 GPa and 1 x $10^{- 5} /^{o} C$ , respectively, the magnitude of the longitudinal stress (in MPa) developed in the rod is 500

Discussion

20.	A frame is subjected to a load P as shown in the figure. The frame has a constant flexural rigidity EI. The effect of axial load is neglected. The deflection at point A due to the applied load P is
Answer» A frame is subjected to a load P as shown in the figure. The frame has a constant flexural rigidity EI. The effect of axial load is neglected. The deflection at point A due to the applied load P is

Discussion

21.	A copper bar of 25 cm length is fixed by means of supports at its ends. Supports can yield (total) by 0.01 cm. If the temperature of the bar is raised by 100oC, then the stress induced in the bar for αc=20×10−6 oC and Ee=1×106 kg/cm2 will be
Answer» A copper bar of $25 c m$ length is fixed by means of supports at its ends. Supports can yield (total) by $0.01 c m$ . If the temperature of the bar is raised by $100^{o} C$ , then the stress induced in the bar for $α_{c} = 20 \times 10^{- 6}^{o} C$ and $E_{e} = 1 \times 10^{6} k g / c m^{2}$ will be

Discussion

22.	For the cantilever beam shown in the given figure, which one of the following pairs is not correctly matched ?
Answer» For the cantilever beam shown in the given figure, which one of the following pairs is not correctly matched ?

Discussion

23.	The state of stress at a point is given by σx=−6 MPa,σy=4 MPa, and τxy=−8 MPa. The maximum tensile stress (in MPa) at the point is8.43
Answer» The state of stress at a point is given by $σ_{x} = - 6 M P a, σ_{y} = 4 M P a$ , and $τ_{x y} = - 8 M P a$ . The maximum tensile stress (in MPa) at the point is 8.43

Discussion

24.	If G is the modulus of rigidity, E the modulus of elasticity and μ the Poisson's ratio for a material, then what is the expression for G ?
Answer» If G is the modulus of rigidity, E the modulus of elasticity and μ the Poisson's ratio for a material, then what is the expression for G ?

Discussion

25.	The slenderness ratio of a compression member in the context of Rankine's formula is defined as
Answer» The slenderness ratio of a compression member in the context of Rankine's formula is defined as

Discussion

26.	A mild flat of width 120 mm and thickness 10 mm is bent into an arc of a circle of radius 10 m by applying a pure moment M. If E is 2×105N/mm2, then the magnitude of the pure moment M will be
Answer» A mild flat of width 120 mm and thickness 10 mm is bent into an arc of a circle of radius 10 m by applying a pure moment M. If E is $2 \times 10^{5} N / m m^{2}$ , then the magnitude of the pure moment M will be

Discussion

27.	A simply supported I beam with its web horizontal is shown in the given figure. It is subjected to a vertical loadThe shape of the shear stress distribution in the cross-section of the beam under the load would be
Answer» A simply supported I beam with its web horizontal is shown in the given figure. It is subjected to a vertical load The shape of the shear stress distribution in the cross-section of the beam under the load would be

Discussion

28.	A steel column of rectangular section (15mm×10mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E= 200 GPa for steel, the critical axial load (in kN) is _____ ( correct to two decimal places)1.097
Answer» A steel column of rectangular section $(15 m m \times 10 m m)$ and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E= 200 GPa for steel, the critical axial load (in kN) is _____ ( correct to two decimal places) 1.097

Discussion

29.	A plane frame PQR (fixed at P and free at R) is shown in the figure. Both members (PQ and QR) have length L, and flexural rigidity, EI. Neglecting the effect of axial stress and transverse shear, the horizontal deflection at free end R, is
Answer» A plane frame PQR (fixed at P and free at R) is shown in the figure. Both members (PQ and QR) have length L, and flexural rigidity, EI. Neglecting the effect of axial stress and transverse shear, the horizontal deflection at free end R, is

Discussion

30.

Match List-I (Material) with List-II (Properties) and select the correct answer using the codes given below the lists: List - IList - IIA. Isotropic1.Time dependent stress-strain relationB. Homogeneous2. No plastic zoneC. Visco-elastic3. Identical properties in all directionsD. Brittle4. Similar properties throughout the volumeCodes:A B C D

Answer»

Match List-I (Material) with List-II (Properties) and select the correct answer using the codes given below the lists:

List - I	List - II
A. Isotropic	1.Time dependent stress-strain relation
B. Homogeneous	2. No plastic zone
C. Visco-elastic	3. Identical properties in all directions
D. Brittle	4. Similar properties throughout the volume

Codes:

A B C D

Discussion

31.	What is the moment at A for a frame as shown in figure below ?Each members indicated in dark lines has very large moment of interia.
Answer» What is the moment at A for a frame as shown in figure below ? Each members indicated in dark lines has very large moment of interia.

Discussion

32.	Consider a simply supported beam with a uniformly distributed load having a neutral axis (NA) as shown. For points P(on the neutral axis) and Q (at the bottom of the beam) the state of stress is best represented by which of the following pairs?
Answer» Consider a simply supported beam with a uniformly distributed load having a neutral axis (NA) as shown. For points P(on the neutral axis) and Q (at the bottom of the beam) the state of stress is best represented by which of the following pairs?

Discussion

33.	A bar of uniform section is subjected to axial tensile loads such that the normal strain in the direction is 1.25 mm per m. If the Poisson's ratio of the material of the bar is 0.3, the volumetric strain would be
Answer» A bar of uniform section is subjected to axial tensile loads such that the normal strain in the direction is 1.25 mm per m. If the Poisson's ratio of the material of the bar is 0.3, the volumetric strain would be

Discussion

34.	Which one of the following is the bending moment diagram for the vertical cantilever beam loaded as shown in the figure below?
Answer» Which one of the following is the bending moment diagram for the vertical cantilever beam loaded as shown in the figure below?

Discussion

35.	List I shows different loads acting on a beam andList II shows different bending moment distributions. Match the load with the corresponding bending moment diagram.Code:ABCD
Answer» List I shows different loads acting on a beam and List II shows different bending moment distributions. Match the load with the corresponding bending moment diagram. Code: $\begin{matrix} A & B & C & D \end{matrix}$

Discussion

36.	In a plane strain problem in XY plane, the shear strain = 12×10−6, and the normal strain in X and Y direction = 0. For this state of strain, what is the diameter of the Mohr's circle of strain?
Answer» In a plane strain problem in XY plane, the shear strain = $12 \times 10^{- 6}$ , and the normal strain in X and Y direction = 0. For this state of strain, what is the diameter of the Mohr's circle of strain?

Discussion

37.	What is the correct sequence of the following metals in the decreasing order of their Poisson's ratio?1. Aluminium2. Castiron3. SteelSelect the correct answer using the codes given below:
Answer» What is the correct sequence of the following metals in the decreasing order of their Poisson's ratio? 1. Aluminium 2. Castiron 3. Steel Select the correct answer using the codes given below:

Discussion

38.	A column ABCD (2y1×2y2) of rectangular section carries a load P at Z having the coordinates (x,y) as show in the given figure.If the compressive stresses are taken as positive and area A=2y1×2y2=4y1y2 and the moment of inertia about X and Y axis being Ixx and Iyy respectively, then the stress at the corner D is
Answer» A column $A B C D (2 y_{1} \times 2 y_{2})$ of rectangular section carries a load $P$ at $Z$ having the coordinates $(x, y)$ as show in the given figure. If the compressive stresses are taken as positive and area $A = 2 y_{1} \times 2 y_{2} = 4 y_{1} y_{2}$ and the moment of inertia about $X$ and $Y$ axis being $I_{x x}$ and $I_{y y}$ respectively, then the stress at the corner $D$ is

Discussion

39.	A mild steel bar of length 450 mm tapers uniformly. The diameters at the ends are 36 mm and 18 mm, respectively. An axial load of 12 kN is applied on the bar. E=2×105N/mm2. The elongation of the bar will be
Answer» A mild steel bar of length $450 m m$ tapers uniformly. The diameters at the ends are $36 m m$ and $18 m m$ , respectively. An axial load of $12 k N$ is applied on the bar. $E = 2 \times 10^{5} N / m m^{2}$ . The elongation of the bar will be

Discussion

40.	The relationship between Young's Modulus E, Modulus of Rigidity C and Bulk Modulus K in an elastic material is given by the relation
Answer» The relationship between Young's Modulus E, Modulus of Rigidity C and Bulk Modulus K in an elastic material is given by the relation

Discussion

41.	Given that for an element in a body of homogeneous isotropic material subjected to plane stresses, Ex, εx,εy and εz are normal strains in x, y and z direction respectively and μ is the Poisson's ratio, the magnitude of unit volume change of the element is given by
Answer» Given that for an element in a body of homogeneous isotropic material subjected to plane stresses, Ex, $ε_{x}, ε_{y}$ and $ε_{z}$ are normal strains in x, y and z direction respectively and μ is the Poisson's ratio, the magnitude of unit volume change of the element is given by

Discussion

42.	A rectangular timber beam is cut out of a cylindrical log of diameter D. The depth of the strongest timber beam will be
Answer» A rectangular timber beam is cut out of a cylindrical log of diameter D. The depth of the strongest timber beam will be

Discussion

43.	A horizontal beam shown in the figure given below is subjected to transverse loading. Which one of the following diagrams represent the distribution of shear force along the cross-section ?
Answer» A horizontal beam shown in the figure given below is subjected to transverse loading. Which one of the following diagrams represent the distribution of shear force along the cross-section ?

Discussion

44.	In a two-dimensional stress analysis, the state of stress at a point P is [σ]=[σxxτxyτxyσyy]The necessary and sufficient condition for existence of the state of pure shear at the point P, is
Answer» In a two-dimensional stress analysis, the state of stress at a point P is $[σ] = [\begin{matrix} σ_{x x} & τ_{x y} τ_{x y} & σ_{y y} \end{matrix}]$ The necessary and sufficient condition for existence of the state of pure shear at the point P, is

Discussion

45.	A steel rod, 100 mm long is held between two rigid supports. It is heated by 20°c. If the coefficient of thermal expansion of the material of the rod is 15×10−6 per°C and modulus of elasticity is 200×103MN/m2, what is the stress in the rod?
Answer» A steel rod, $100 m m$ long is held between two rigid supports. It is heated by $20 ° c$ . If the coefficient of thermal expansion of the material of the rod is $15 \times 10^{- 6} p e r ° C$ and modulus of elasticity is $200 \times 10^{3} M N / m^{2}$ , what is the stress in the rod?

Discussion

46.	The SFD and BMD for a beam are shown in the given figures I and II. The corresponding loading diagram would be
Answer» The SFD and BMD for a beam are shown in the given figures I and II. The corresponding loading diagram would be

Discussion

47.	Consider the three prismatic beams with the clamped supports, P, Q and R as shown in the fig.Given that the modulus of elasticity, E is 2.5 x 104 MPa and the moment of inertia, I is 8 x 108 mm4 , the correct comparison of the magnitudes of the shear force S and the bending moment M developed at the supports is
Answer» Consider the three prismatic beams with the clamped supports, P, Q and R as shown in the fig. Given that the modulus of elasticity, E is 2.5 x $10^{4}$ MPa and the moment of inertia, I is 8 x $10^{8}$ $m m^{4}$ , the correct comparison of the magnitudes of the shear force S and the bending moment M developed at the supports is

Discussion

48.	Which one of the following shear stress distribution diagrams is correct for cross-bar section shown in the Figure-I ?
Answer» Which one of the following shear stress distribution diagrams is correct for cross-bar section shown in the Figure-I ?

Discussion

49.	The magnitude of the only shear stresses acting at a point in plane stress situation is 7.5 N/mm2. The magnitudes of the principal stresses will be :
Answer» The magnitude of the only shear stresses acting at a point in plane stress situation is $7.5 N / m m^{2}$ . The magnitudes of the principal stresses will be :

Discussion

50.	The shear stress distribution for a rectangular section under the action of shear force S is shown below. The rectangular section is b×d. Select the correct shear stress distribution from the following :
Answer» The shear stress distribution for a rectangular section under the action of shear force S is shown below. The rectangular section is b $\times$ d. Select the correct shear stress distribution from the following :

Discussion

Explore topic-wise InterviewSolutions in .

The longitudinal strain of a cylindrical bar of 25 mm diameter and 1.5 m length is found to be 3 times its lateral strain in a tensile test. What is the value of Bulk Modulus by assuming E=1×105 N/mm2?

Consider the beam AB shown in the figure below. Part AC of the beam is rigid while Part CB has the flexural rigidity EI. Identify the correct combination of deflection at end B and bending moment at end A, respectively.

A cast iron pipe of 1 m diameter is required to withstand a 200 m head of water. If the limiting tensile stress of the pipe material is 20 MPa, then the thickness of the pipe will be

The shear force diagram of a beam is shown in the figure.The absoulte maximum bending moment in the beam is

The bending moment diagram of a beam is shown in the figure.The shear force diagram of the beam is represented by

The diagram below shows a simply supported beam with load.which one of the following diagrams is the shear force diagram for this beam?

The rectangular column shown in the figure below carries a load P having eccentricities ′e′x and ′e′y along the X-axis and Y-axis respectively. The stress at any point (x,y) is given by

A wire of circular cross- section of diameter 1.0 mm is bent into a circular arc of radius 1.0 m by application of pure bending moments at its ends. The Young's modulus of the material of the wire is 100 GPa . The maximum tensile stress developed in the wire is _______ MPa.50

A thin gas cylinder with an internal radius of 100 mm is subject to an internal pressure of 10 MPa. The maximum permissible working stress is restricted to 100 MPa. The minimum cylinder wall thickness (in mm) for safe design must be ____10

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

If the crushing stress in the material of a mild steel column is 3300 kg/cm2. Euler's Formula for crippling load is applicable for slenderness ratio equal to/greater than

A column with one end fixed and one end free has a critical buckling load of 100 N. For the same column, if the free end is replaced with a pinned end then the critical buckling load will be ______N800

The shear stress distribution shown in figure-I represents a beam with cross-section

A round bar made of same material consists of 3 parts each of 100 mm length having diameters of 40mm, 50 mm and 60 mm, respectively. If the bar is subjected to an axial load of 10 kN, the total elongation of the bar in mm would be (E is the modulus of elasticity in kN/mm2)

In the structure shown in the figure below, what is the distance through which the point A move towards each other ?

A frame is subjected to a load P as shown in the figure. The frame has a constant flexural rigidity EI. The effect of axial load is neglected. The deflection at point A due to the applied load P is

A copper bar of 25 cm length is fixed by means of supports at its ends. Supports can yield (total) by 0.01 cm. If the temperature of the bar is raised by 100oC, then the stress induced in the bar for αc=20×10−6 oC and Ee=1×106 kg/cm2 will be

For the cantilever beam shown in the given figure, which one of the following pairs is not correctly matched ?

The state of stress at a point is given by σx=−6 MPa,σy=4 MPa, and τxy=−8 MPa. The maximum tensile stress (in MPa) at the point is8.43

If G is the modulus of rigidity, E the modulus of elasticity and μ the Poisson's ratio for a material, then what is the expression for G ?

The slenderness ratio of a compression member in the context of Rankine's formula is defined as

A mild flat of width 120 mm and thickness 10 mm is bent into an arc of a circle of radius 10 m by applying a pure moment M. If E is 2×105N/mm2, then the magnitude of the pure moment M will be

A simply supported I beam with its web horizontal is shown in the given figure. It is subjected to a vertical loadThe shape of the shear stress distribution in the cross-section of the beam under the load would be

A steel column of rectangular section (15mm×10mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E= 200 GPa for steel, the critical axial load (in kN) is _____ ( correct to two decimal places)1.097

A plane frame PQR (fixed at P and free at R) is shown in the figure. Both members (PQ and QR) have length L, and flexural rigidity, EI. Neglecting the effect of axial stress and transverse shear, the horizontal deflection at free end R, is

What is the moment at A for a frame as shown in figure below ?Each members indicated in dark lines has very large moment of interia.

Consider a simply supported beam with a uniformly distributed load having a neutral axis (NA) as shown. For points P(on the neutral axis) and Q (at the bottom of the beam) the state of stress is best represented by which of the following pairs?

A bar of uniform section is subjected to axial tensile loads such that the normal strain in the direction is 1.25 mm per m. If the Poisson's ratio of the material of the bar is 0.3, the volumetric strain would be

Which one of the following is the bending moment diagram for the vertical cantilever beam loaded as shown in the figure below?

List I shows different loads acting on a beam andList II shows different bending moment distributions. Match the load with the corresponding bending moment diagram.Code:ABCD

In a plane strain problem in XY plane, the shear strain = 12×10−6, and the normal strain in X and Y direction = 0. For this state of strain, what is the diameter of the Mohr's circle of strain?

What is the correct sequence of the following metals in the decreasing order of their Poisson's ratio?1. Aluminium2. Castiron3. SteelSelect the correct answer using the codes given below:

A mild steel bar of length 450 mm tapers uniformly. The diameters at the ends are 36 mm and 18 mm, respectively. An axial load of 12 kN is applied on the bar. E=2×105N/mm2. The elongation of the bar will be

The relationship between Young's Modulus E, Modulus of Rigidity C and Bulk Modulus K in an elastic material is given by the relation

Given that for an element in a body of homogeneous isotropic material subjected to plane stresses, Ex, εx,εy and εz are normal strains in x, y and z direction respectively and μ is the Poisson's ratio, the magnitude of unit volume change of the element is given by

A rectangular timber beam is cut out of a cylindrical log of diameter D. The depth of the strongest timber beam will be

A horizontal beam shown in the figure given below is subjected to transverse loading. Which one of the following diagrams represent the distribution of shear force along the cross-section ?

In a two-dimensional stress analysis, the state of stress at a point P is [σ]=[σxxτxyτxyσyy]The necessary and sufficient condition for existence of the state of pure shear at the point P, is

A steel rod, 100 mm long is held between two rigid supports. It is heated by 20°c. If the coefficient of thermal expansion of the material of the rod is 15×10−6 per°C and modulus of elasticity is 200×103MN/m2, what is the stress in the rod?

The SFD and BMD for a beam are shown in the given figures I and II. The corresponding loading diagram would be

Which one of the following shear stress distribution diagrams is correct for cross-bar section shown in the Figure-I ?

The magnitude of the only shear stresses acting at a point in plane stress situation is 7.5 N/mm2. The magnitudes of the principal stresses will be :

The shear stress distribution for a rectangular section under the action of shear force S is shown below. The rectangular section is b×d. Select the correct shear stress distribution from the following :