Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB Onginally the cable is unstretched. ▼ Part A If a force is applied to the end B of the member and causes a normal strain in the cable of 0.00485 mm/mm. determine the displacement of point B Express your answer to three significant figures and include appropriate units. AB OM Value 5 Ĉ Units OM ? A 600 mm 800 mm

Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB Onginally the cable is unstretched. ▼ Part A If a force is applied to the end B of the member and causes a normal strain in the cable of 0.00485 mm/mm. determine the displacement of point B Express your answer to three significant figures and include appropriate units. AB OM Value 5 Ĉ Units OM ? A 600 mm 800 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...

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An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.
A strain rosette (see figure) mounted on the surface of an automobile frame gives the following readings: gage A,310 × 10-6:gage B,180 × l0-6; and gage C. -160 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?
During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
Solve the preceding problem if the cross- sectional dimensions are b = 1.5 in. and h = 5.0 in., the gage angle is ß = 750, the measured strains are = 209 × 10-6 and B = -110 × 10, and the material is a magnesium alloy with modulus E = 6.0 X 106 psi and Poisson’s ratio v = 0.35.
A prismatic bar in tension has a length L = 2.0 m and cross-sectional area A =249 mn2. The material of the bar has the stress-strain curve shown in the figure. Determi ne t he elongation 5 of the bar for each of the following axial loads: P = 10 kN, 20 kN, 30 kN, 40 kN. and 45 kN. From these results, plot a diagram of load P versus elongation 5 (load-displacement diagram).
The 60° strain rosette is mounted on the surface of the bracket. The following readings are obtained for each gage: Pa = -780(10-6), Pb = 400(10-6), and Pc = 500(10-6). Determine (a) the principal strains and (b) the maximumin-plane shear strain and associated average normal strain. In each case show the deformed element due to these strains.
The 45° strain rosette is mounted on the surface of a pressure vessel. The following readings are obtained for each gage: Pa = 475(10-6), Pb = 250(10-6), and Pc = -360(10-6). Determine the in-plane principal strains
a) A thin strip of rubber-like material has an unstretched length of 345 mm.i. If it is stretched around a pipe having an outer diameter of 112 mm, determine the average normal strain in the strip, assuming linear elastic behaviour. (3 marks)ii. A steel wire of diameter dwire = 1.5 mm also has an initial length of 345 mm. The Young’s Modulus of the steel material is 190 GPa and its yield strength is 275 MPa. What is the maximum pipe diameter that the wire can be stretched around without yielding and what is the magnitude of the tensile force in the wire for this elongation? Give your answers to two decimal places
A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m experiences a stress of 600 MPa when placed under tension. If the material used for the truss tie-rod has a Young's Modulus, E, of 5.8 x 1011 N/m?, calculate: (i) the tie-rod's extension in millimetres (mm); (ii) the strain energy (U) in Joules; and (ii) the strain energy per unit volume (U/V) in Joules per cubic metre (m³). Give your answers to two decimal places.
v) A delta strain gauge is attached to the member at point ‘X’ as highlighted in the figure. During a particular stage of a lifting process, strain readings are recorded as detailed. Determine the magnitude and nature of the principal stresses acting on the member at point ‘X’, the maximum shear stress, and the angle of the principal planes. Young’s Modulus of elasticity = 205 GN/m2Poisson’s ratio = 0.31