Question

Imagine you are designing a single crystal turbine blade for use in a jet engine. It will experience large tensile loads from the centripetal forces produced by the rotation of the blades. The efficiency of the engine will be improved by minimizing the gap between the blade end and the shroud (shown below). shroud blade Given: i) the turbine blade is fabricated from a single crystal nickel based superalloy the axial force parallel to the length of the blade is 33.75 kN, ii) the blade is oriented so that the [001] is parallel to the loading axis, the length of the blade is 150mm and the cross- section can be approximated by an isosceles triangle of with a base of 5mm and height of 50mm. Calculate the elastic deflection in mm of the blade at 680°C. You may assume that the elastic constants ($S_{11}$, $S_{12}$ and $S_{44}$) are 25% larger at 680 °C compared to room temperature.

          Imagine you are designing a single crystal turbine blade for use in a jet engine. It will
experience large tensile loads from the centripetal forces produced by the rotation of the
blades. The efficiency of the engine will be improved by minimizing the gap between the
blade end and the shroud (shown below).
shroud
blade
Given: i) the turbine blade is fabricated from a single crystal nickel based superalloy the
axial force parallel to the length of the blade is 33.75 kN, ii) the blade is oriented so that
the [001] is parallel to the loading axis, the length of the blade is 150mm and the cross-
section can be approximated by an isosceles triangle of with a base of 5mm and height of
50mm.
Calculate the elastic deflection in mm of the blade at 680°C. You may assume that the
elastic constants ($S_{11}$, $S_{12}$ and $S_{44}$) are 25% larger at 680 °C compared to room temperature.

Show more…

Imagine you are designing a single crystal turbine blade for use in a jet engine. It will
experience large tensile loads from the centripetal forces produced by the rotation of the
blades. The efficiency of the engine will be improved by minimizing the gap between the
blade end and the shroud (shown below).
shroud
blade
Given: i) the turbine blade is fabricated from a single crystal nickel based superalloy the
axial force parallel to the length of the blade is 33.75 kN, ii) the blade is oriented so that
the [001] is parallel to the loading axis, the length of the blade is 150mm and the cross-
section can be approximated by an isosceles triangle of with a base of 5mm and height of
50mm.
Calculate the elastic deflection in mm of the blade at 680°C. You may assume that the
elastic constants (S11, S12 and S44) are 25% larger at 680 °C compared to room temperature.

Added by Wanda K.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supreeta N

10/20/2023

Step 1

Given that the base (b) = 5mm and height (h) = 50mm, the area moment of inertia for an isosceles triangle about its base is given by the formula: I = (1/36) * b * h^3 Substitute the values: I = (1/36) * 5 * 50^3 I = 34722.22 mm^4 Show more…

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Imagine you are designing a single crystal turbine blade for use in a jet engine. It will experience large tensile loads from the centripetal forces produced by the rotation of the blades. The efficiency of the engine will be improved by minimizing the gap between the blade end and the shroud (shown below). Given: i) the turbine blade is fabricated from a single crystal nickel based superalloy the axial force parallel to the length of the blade is 33.75kN, ii) the blade is oriented so that the [001] is parallel to the loading axis, the length of the blade is 150mm and the cross- section can be approximated by an isosceles triangle of with a base of 5mm and height of 50mm. Calculate the elastic deflection in mm of the blade at 680deg C. You may assume that the elastic constants ( S_(11),S_(12) and S_(44) ) are 25% larger at 680deg C compared to rom temperature. @ 25 S11= 0.73, S22 = -0.27, S44= 0.8 Imagine you are designing a single crystal turbine blade for use in a jet engine. It will experience large tensile loads from the centripetal forces produced by the rotation of the blades. The efficiency of the engine will be improved by minimizing the gap between the blade end and the shroud(shown below) shroud blade Given: i) the turbine blade is fabricated from a single crystal nickel based superalloy the axial force parallel to the length of the blade is 33.75 kN, ii) the blade is oriented so that the [001] is parallel to the loading axis, the length of the blade is 150mm and the cross- section can be approximated by an isosceles triangle of with a base of 5mm and height of 50mm. Calculate the elastic deflection in mm of the blade at 680C. You may assume that the elastic constants (S11,S12 and S44) are 25% larger at 680C compared to room temperature

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