After a fall, a 98 kg rock climber finds himself dangling from the end of a rope that had been 17 m long and 9.8 mm in diameter but has stretched by 3.1 cm. For the rope, calculate (a) the strain, (b) the stress, and (c) the Young's modulus.
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- A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).Can the normal strain on the free surface of a body be measured in aparticular direction using an electrical resistance strain gage? Give an example?One spring is placed inside the other, not touching each other, and compressed between a pair of parallel plates until the distance between the plates is 40 mm. Make a neat detailed sketch of the spring and plate assembly. If G = 83 GPa for both springs, calculate the following: 1. The force applied to the spring assembly. 2. The shear stress induced in each spring. 3. The total strain energy stored in the spring assembly. 4. The stiffness of each spring. 5. The equivalent stiffness of a single spring that can be substituted in place of these springs.
- A copper cylinder with a length of 1.5 m and diameter of 4 cm undergoes compression. Bulk Modulus (14*10^10 Pa) What will be the bulk strain of the copper rod if pressure is applied to reduce its volume to 0.00089 m3? How much pressure was applied to the copper rod? Calculate the percent change in volume of the copper rod.A rail 5 m in length having a coefficient of linear expansion of 11.6 x 10-6 m/m C increases its length when heated from 25 C to 50 C. Determine the strain.A tensile bar is stressed to 250 N/mm2 which is beyond its elastic limit. At this stage the strain produced in the bar is observed to be 0.0014. if the modulus of elasticity of the material of the bar is 205000 N/mm2 then the elastic component of the strain is very close toa. 0.0004b. 0.0002c. 0.0001d. 0.00005 PLS EXPLAIN YOUR ANSWER THOROUGHLY
- In our previous topic regarding strain, repeat the problem on the strain using thefollowing parameters:F = 150000 +/- 150 lbfSide length = 1.2 +/- 0.025 inModulus of Elasticity = 25000 +/- 11.5 ksiDetermine the relative error. Is it above or below the accepted 5% error?Use the principle of Strain energy due to direct stresses strength of materials 2A wire 2 m long and 2 mm in diameter, when stretched by weight of 8 kg has its length increased by 0.24 mm. Find the stress, strain and Young’s modulus of the material of the wire. (Note: g = 9.8 m/s2). Answers: (2.5 x 107 N/m2, 1.2 x 10-4 m/m, 2.08 x 1011 N/m2)
- A Mild steel rod of 15mm diameter that is 1.5 cm in length is elongated by 0.15mm along its longitudinal direction by a load of 15 kN. Hence, the strain of the material is …………….. mm/mm.A 11 in.in. inner diameter, 0.35 "" wall thickness pipe is under a pressure of 2.5 ksiksi where strain gages installed along axial and circumferential directions register strains of 180 and 900 micro-strains (x10−610−6), respectively. D) If the pipe is depressurized and then subjected to a torque of 50 lb - ft., it will experience a shear strain of ________ rad. 1.95x10-7 9.77x10-8 7.33x10-8 1.22x10-7 4.89x10-8A metal wire is 2.5 mm diameter and 2m long. A force of 12 N is applied to it and it stretched 0.3 mm. Determine the stress, strain and tensile modules of the wire.