Deformation of Bars due to Axial Load
Trending Questions
Q. A steel rod, 2 m in length, 40 mm in diameter, is subjected to a pull of 70 kN as shown in the figure
To what length should the bar be bored centrally from one end so that total extension will increase by 20% under the same force (the bore diameter is 25 mm and E is 2×105 N/mm2)?
To what length should the bar be bored centrally from one end so that total extension will increase by 20% under the same force (the bore diameter is 25 mm and E is 2×105 N/mm2)?
- 0.46 m
- 0.55 m
- 0.87 m
- 0.62 m
Q. A prismatic bar ABC is subjected to an axial load of 25 kN; the reactions RA and RC will be
- RA=−10 kN and RC=−15 kN
- RA=10 kN and RC=−35 kN
- RA=−15 kN and RC=−10 kN
- RA=15 kN and RC=−40 kN
Q. A rigid bar AC is supported by three rods of same· material and of equal diameter. The bar AC is initially horizontal. A force P is applied such that the bar AC continues to remain horizontal. Forces in each of the shorter bars and in the longer bar are, respectively
- 0.4P, 0.2P
- 0.3P, 0.4P
- 0.2P, 0.6P
- 0.5P, zero
Q. Two circular mild steel bars A and B of equal lengths l have diameters dA=2 cm and dB=3 cm. Each is subjected to a tensile load of magnitude P. The ratio of the elongations of the bars lA/lB is
- 23
- 34
- 49
- 94
Q. A metal bar of 10 mm diameter when subjected to a pull of 23.5 kN gave an elongation of 0.3 mm on a gauge length of 200 mm. The Young's modulus of elasticity of the metal will nearly be
- 200 kN/mm2
- 300 kN/mm2
- 360 kN/mm2
- 400 kN/mm2
Q. Two wires of equal length are suspended vertically at a distance of 40 cm as shown in the figure below. Their upper ends are fixed to the ceiling while their lower ends support a rigid horizontal bar which carries a central load of 1t midway between the wires. Details of the two wires are given below:
The ratio of the elongation of the two wire, ΔC/ΔS is
| Wire No. | Area (cm2) | Material | Modulus of Elasticity (kg/cm2) | Elongation |
| 1 | 4 | Copper | 1 ×106 | ΔC |
| 2 | 2 | Steel | 2 × 106 | ΔS |
The ratio of the elongation of the two wire, ΔC/ΔS is
- 0.25
- 0.5
- 2
- 1
Q. A solid metal bar of uniform sectional area throughout its length hangs vertically from its upper end. Details of the bar are :
Length = 6 m, material density = 8 x 105 N/mm3 and E = 2 x 105 N/mm2. What will be the total elongation of the bar in mm ?
Length = 6 m, material density = 8 x 105 N/mm3 and E = 2 x 105 N/mm2. What will be the total elongation of the bar in mm ?
- 288104
- 48104
- 144104
- 72104
Q. Three wires of steel 1, 2 and 3, each having area A support a load W as shown in the figure below. What is the ratio between collapse load and the load corresponding to yielding of one of the wires?
- 3:1
- 3:2
- 3:25
- 3:3
Q. The total elongation of the structural element (fixed at one end, free at the other end, and of varying cross-section) as shown in the figure, when subjected to load 2P at the free end is
- 6.66PlAE
- 5.55PlAE
- 4.44PlAE
- 3.33PlAE
Q. A mild steel bar is in two parts having equal lengths. The area of cross-section of Part-1 is double that of Part-2. If the bar carries an axial load P, then the ratio of elongation in Part-1 to that in Part-2 will be
- 2
- 4
- 1/2
- 1/4
Q. A round steel bar of overall length 40 cm consists of two equal portions of 20 cm each having diameters of 10 cm and 8 cm respectively. Take E as 2×106kg/cm2. If the rod is subjected to a tensile load of 10 tonnes, the elongation in cm will be given by
- 110π(125+116)
- 210π(125+116)
- 310π(125+116)
- 410π(125+116)
Q. A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compressive load of 200kN. If the length of the bar is 2m and E = 200GPa, the contraction of the bar will be
- 1.25mm
- 2.70mm
- 4.05mm
- 5.40mm
Q. A prismatic bar PQRST is subjected to axial loads as shown in the figure. The segments having maximum and minimum axial stresses, respectively, are
- ST and PQ
- QR and PQ
- ST and RS
- QR and RS
