Beams - Maximum Shear and Moment Formula Flashcards

1
Q

Simply Supported with concentrated load: Vmax

A

Vmax = P/2

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2
Q

Simply Supported with concentrated load: Mmax

A

Mmax = PL / 4

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3
Q

Simply Supported with concentrated load: Deflection

A

δ = PL³ / 48EI

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4
Q

Cantilever with concentrated load: Vmax

A

Vmax = P

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5
Q

Cantilever with concentrated load: Mmax

A

Mmax = PL

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6
Q

Cantilever with concentrated load: Deflection

A

δ = PL³ / 3EI

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7
Q

Fixed with concentrated load: Vmax

A

Vmax = P/2

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8
Q

Fixed with concentrated load: Mmax

A

PL/8

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9
Q

Fixed with concentrated load: deflection

A

δ = PL³ / 192EI

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10
Q

Simply Supported with uniformly distributed load: Vmax

A

Vmax= wL / 2

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11
Q

Simply Supported with uniformly distributed load: Mmax

A

Mmax = wL² / 8

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12
Q

Simply Supported with uniformly distributed load: Deflection

A

δ = 5wL⁴ / 348 EI

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13
Q

Cantilever with uniformly distributed load: Vmax

A

Vmax = wL

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14
Q

Cantilever with uniformly distributed load: Mmax

A

Mmax = wL² / 2

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15
Q

Cantilever with uniformly distributed load: Deflection

A

δ = wL⁴ / 8EI

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16
Q

Fixed with uniformly distributed load: Vmax

A

Vmax = wL/2

17
Q

Fixed with uniformly distributed load: Mmax

A

Mmax = WL² / 12

18
Q

Fixed with uniformly distributed load: Deflection

A

δ = wL⁴ / 348EI