Predict:

• Residual curing stresses

Normal and shear stresses as function of load, geometry, and material properties

• Displacement at mid-span as function of load, geometry, and material properties

• Failure initiation (first ply failure) load, displacement at mid-span, and load after the

first ply failure (load drop keeping displacement constant)

• Failure mode(s) at failure initiation according to maximum stress failure criteria

●

Ultimate failure load & displacement at mid-span

• Failure mode(s) at ultimate failure according to maximum stress failure criteria

Please show all the details of the derivation of the displacement and stress

approximations!/nAnalyze a laminated composite beam in a three-point-bent test. The beam support length is 5.5"

and width is 0.5".

0.5"

2.75"

P - load

↓

2.75"

Material : IM7/8552 tape material with 0.0072" cured ply thickness.

It cures at 350 °F and then cools down to 72 °F.

[012/906/012]T

Layup

It is appropriate to assume uniform stress distribution through the beam width for stress analysis

purposes. Use the following material properties:

Young's modulus in the fiber direction E₁1 = 22.8 Msi

Young's modulus in the transverse (90°) direction E22 = 1.3 Msi

Coefficient of thermal expansion (CTE) in the fiber direction α11 = 0

CTE in the transverse direction #22 = 30 + 10-6/

Fiber-direction tensile strength S117 = 395 ksi

Fiber-direction compressive strength S11c = 215 ksi

Transverse (90°) tensile strength S22 = 14.3 ksi

Interlaminar shear strength S13 = 16 ksi

X