QUESTIONS: 1-Answer the below questions as "true(T)"or "false (F)^ast and mention with one sentence why and for 1(a) fill right words in the empty spaces. [Each is 3 points. Total 30 points) (a) What two properties of lightweight sandwich materials possess to be used in aircraft structures? Good and good (b) The equations of compatibility of strains derived such as (partial ^2epsilon _(xx))/(partial y^2)+(partial ^2xyy)/(partial x^2)=(partial ^2Yxy)/(partial xpartial y) be applied. Following a similar procedure with Ea and a and then with Err and Ea These are the only three strain compatibility equation. (c) The Green shearing strains have twice the value of the corresponding engineering shearing strains. (d) The strain -displacement equations are a necessary part displacement formulation. (e) Superposition principle states that, for linearly elastic direction bear a fixed ratio to the strains in the other two orthogonal directions. (f) The product of the ultimate load factor to develop ultimate loads whose corresponding stresses are required to be less than the limit stresses. (g) The equations of equilibrium, which are derived for the shape, do not apply to a material undergoing plastic deformations. (h) Equilibrium equations are always sufficient to structural body in a state of plane stress but are not always sufficient to determine all the displacements in that same structure. __

Question

QUESTIONS: 1-Answer the below questions as "true(T)"or "false (F)^ast and mention with one sentence why and for 1(a) fill right words in the empty spaces. [Each is 3 points. Total 30 points) (a) What two properties of lightweight sandwich materials possess to be used in aircraft structures? Good and good (b) The equations of compatibility of strains derived such as (partial ^2epsilon _(xx))/(partial y^2)+(partial ^2xyy)/(partial x^2)=(partial ^2Yxy)/(partial xpartial y) be applied. Following a similar procedure with Ea and a and then with Err and Ea These are the only three strain compatibility equation. (c) The Green shearing strains have twice the value of the corresponding engineering shearing strains. (d) The strain -displacement equations are a necessary part displacement formulation. (e) Superposition principle states that, for linearly elastic direction bear a fixed ratio to the strains in the other two orthogonal directions. (f) The product of the ultimate load factor to develop ultimate loads whose corresponding stresses are required to be less than the limit stresses. (g) The equations of equilibrium, which are derived for the shape, do not apply to a material undergoing plastic deformations. (h) Equilibrium equations are always sufficient to structural body in a state of plane stress but are not always sufficient to determine all the displacements in that same structure. __

Answer 1

(a) True. Lightweight sandwich materials possess good stiffness and good strength-to-weight ratio properties, which make them suitable for use in aircraft structures.(b) False. The given equation is not a correct strain compatibility equation. The correct strain compatibility equations are

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, and

.(c) True. The Green shearing strains have twice the value of the corresponding engineering shearing strains.(d) True. The strain-displacement equations are a necessary part of the displacement formulation.(e) False. The superposition principle states that the total displacement of a point in a structure is the sum of the displacements caused by each load acting on the structure. It does not state anything about the ratio of strains in orthogonal directions.(f) False. The product of the ultimate load factor and the ultimate stress is equal to the ultimate load, not the limit stress.(g) False. The equations of equilibrium, which are derived for the shape, do apply to a material undergoing plastic deformations.(h) True. Equilibrium equations are always sufficient to determine the stresses and reactions in a structural body in a state of plane stress, but they are not always sufficient to determine all the displacements in that same structure.

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