GATE XE (Engineering Sciences) 2024 - Question 53

Section: Solid Mechanics | Marks: 2

A 0-45-90 strain gauge rosette is mounted on an aircraft wing. The co-ordinate system is placed such that the strain gauges p, q and r are oriented at angles 0o, 45o and 90o, respectively, from the x axis (see figure). The strain readings associated to p, q and r are denoted by 𝜀𝑝, 𝜀𝑞, and 𝜀𝑟 , respectively. While conducting a test the strain gauges show the following readings. 𝜀𝑝= 150 × 10−6, 𝜀𝑞= 180 × 10−6, 𝜀𝑟= −90 × 10−6 The developed engineering shear strain 𝛾𝑥𝑦 associated to the strain gauge data is

• A. 120 × 10−6
• B. 180 × 10−6
• C. 300 × 10−6
• D. 240 × 10−6

Answer: C. 300 × 10−6