Direct Load Flashcards

1
Q

Stress

A

internal resistance of the material to the applied load per unit area

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2
Q

Direct stress=

A

applied load/cross-sectional area

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3
Q

MPa=

A

N/mm^2

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4
Q

psi=

A

lbs/in^2 (imperial)

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5
Q

Direct normal tensile stress

A

σ (axial load/cross sectional area) pulling out

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6
Q

Direct normal compressive stress

A

σ (axial load/cross sectional area) pushing in ->

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7
Q

Direct shear stress

A

τ (shear force/shear area)

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8
Q

Bearing stress

A

σb=load/contact area

contact area is the area of the interface between two flat surfaces, one supports the other

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9
Q

Normal strain

A

ε or εa, aka axial strain, the deformation per unit length

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10
Q

ε=

A

δ/l= (Δl)/l= (lf-li)/li

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11
Q

Axial deformation

A

δ the change in length

δ=lf-li

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12
Q

Lateral strain

A

εl=(Δh)/h =(hf-hi)/hi

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13
Q

Poisson Ratio

A

v, the ratio of the lateral strain to the axial strain

v=-εl/εa

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14
Q

shear strain

A

γ, the change in the right angle of the stress element, due to shearing load
measured in radians

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15
Q

Hooke’s law: Uni-axial loading

A

E=σ/ε
E a material property representing stiffness
σ stress
ε strain

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16
Q

Hooke’s law: shear loading

A

G=τ/γ
G is the shear modulus of elasticity/rigidity, represents material rigidity
τ shear stress
γ shear strain

17
Q

Axial Loading: design stres

A

σd, the maximum allowable level of stress the member can develop while performing safely under load

18
Q

Sy

A

yield strengths

19
Q

Sn

A

fatigue strength

20
Q

Axial Loading: Design factor N

A

accounts for uncertainty in factors such as load, material, environment, conditions, misuse

21
Q

Design Criteria based on normal stress: Static stress

A

σd=Sy/N
σ≤σd
σ=Faxial/Across-section

22
Q

Design Criteria based on normal stress: Dynamic stress

A

σd=Su/N

  • Su is the ultimate strength of the material
  • Sy is the yield strength of the material
  • Su of the material is correlated to Sn
23
Q

Shear Loading: Design shear stress

A

τd is the maximum allowable level of shear stress the member can develop while performing safely under load

  • τd=Sys/N for ductile material
  • Sys is the shear yield strength of the material
  • τ≤τd
  • τ=Fshear/Ashear
24
Q

design bearing stress

A

σbd

25
Q

Max stress

A

σmax=Kt*σnom

  • Kt stress concentration factor
  • σnom=F/A
26
Q

Deformation due to axial load

A

δ =ε*L =(σ/E)L ={(F/A)/E}L

  • F axial force
  • L initial Length
  • E modulus of elasticity
  • A cross sectional area
  • σ direct normal stress
  • ε axial strain
27
Q

Deformation due to thermal loading

A

δ=αL(ΔT)

  • δ thermal deformation
  • α coefficient of thermal expansion
  • L initial length of member
  • ΔT temperature change
28
Q

Thermal stress

A

σ=Eα(ΔT)

  • α coefficient of thermal expansion
  • ΔT temperature change