Test 2 Flashcards

1
Q

Prandtl Stress Function Assumption 1

A

Phi is a constant along the edge of the cross-section

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2
Q

Prandtl Stress Function Assumption 2

A

T = 2SSPhi dxdy

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3
Q

Prandtl Stress Function Assumption 3

A

del2Phi/delx2 + del2Phi/dely2 = -2GTheta

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4
Q

Soap Bubble Analogy

A

Phi = cz so (-P/S)c = -2G Theta -> P/S = (2GTheta*z)/ Phi

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5
Q

q

A

tau*t

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6
Q

If a circular cross-section has a slit, then it can be simplified to a…

A

rectangular cross-section

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7
Q

What is symmetric bending?

A

When the bending moment and other components are applied in the plane of symmetry of the beam. (on X, Y, or both)

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8
Q

What is non-symmetric bending?

A

When the components (bending moments, forces, etc.) are not applied in multiple directions where they do not lie on the symmetric axes of the cross-section

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9
Q

How do you find the orientation of the neutral axis?

A

alpha (y = xtan(alpha))

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10
Q

Where are the maximum compressive and tensile stresses?

A

The max compressive and tensile stresses are at the top and bottom of the cross-section

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11
Q

What are the maximum compressive and tensile stresses?

A

Solve for the Moments of Interia and alpha then plug in the (x,y) coordinate components for the furthest bottom and top locations to sigma zz

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12
Q

Why do we need to find the shear center?

A

To find the location where a load can be applied and there will be no torsional effects, only bending effects

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13
Q

Will circumferential or radial stress dominate if there is no thin web?

A

circumferential

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14
Q

Will circumferential or radial stress dominate if there is a thin web?

A

radial

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15
Q

When solving for the shear center of a beam, q = ?

A

A’ y~’

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16
Q

When choosing a cross-section for a curved beam, the cut shape should…

A

mimic the shape of the entire beam if circular or be a rectangle

17
Q

Ixy = ?

A

Ax~y~

18
Q

Flexural Stress is…

A

sigma zz

19
Q

Flexural stress =

A

MxY/IX

20
Q

The neutral axis for curved beams is located at _________

A

Rn

21
Q

Rn =

A

AMx/AmMx+N(A-RAm)

22
Q

At the neutral axis of a curved beam, _________ = 0

A

Circumferential stress

23
Q

When do you use Bleich’s Correction Factors?

A

When you have an I or T beam that