Question

A clothing company is developing a new line of athletic attire designed to elastically deform during exercise. The company has developed five weaves to produce their new clothing and with some leftover strips of different sizes, decides to quantitatively measure how much the weaves stretch for a given load. Each strip is loaded into a uniaxial tensile testing machine as shown below and subject to a tensile load of 15 N in the y-direction. Given the undeformed and deformed dimensions of the weaves, rank the weaves in order of the normal strain in the y-direction. 11111111111 Grip Weave Grip 11 Rank the weaves from largest to smallest strain. To rank weaves as equivalent, overlap them. ► View Available Hint(s) Reset Help Undeformed 42 cm Deformed 51 cm 51 cm Undeformed 72 cm Deformed 90 cm Deformed Undeformed 36 cm Deformed 45 cm Undeformed Deformed 113 cm 136 cm Undeformed 23 cm Deformed 32 cm Most extensible Least extensible

Answer 1

The calculation for strains is shown below: The order of decreasing strain is also written.

Strain & & AL AL change in length original undeformed length deformed length AL= tool , la = ld-L Case I) Case Il = 5 11 = 0.214 3 – 1 = 0.214 from & values, Case I) 6 = 90 – 1 = 0.347 Ey>t, > t3 > €, te case I Case 1) g = us - = 0.25 -1 = 0.25 ا ، خم er = 136 113 -1 = 0.203 32 Casel) ea -I = 0.391 23