Crib Sheet-Test 1

# Crib Sheet-Test 1 - Sin/Cos Rule θ θ sin cos cos 2 sin...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Sin/Cos Rule θ θ sin cos cos 2 sin sin sin 2 2 F y F x c AB B A C c C b B a A = =- + = = = Vectors ( 29 ( 29 ( 29 k z z j y y i x x r r r k z j y i x r k j i A A A A k j i k A A j A A i A A A A U A B A B A B A B z y x z y x A ˆ ˆ ˆ ˆ ˆ ˆ 1 ˆ cos ˆ cos ˆ cos ˆ cos ˆ cos ˆ cos ˆ ˆ ˆ 2 2 2 2 2 2- +- +- =- = + + = = + + + + = + + = + + = = γ β α γ β α Dot Product ° = = • = • + + = • 90 cos cos 2 1 2 1 2 1 2 1 2 1 2 1 2 1 B A when B A B A z z y y x x B A θ Cross Product ( 29 C U B A C B A are B A then B A when C y x z y x y x z y x B A θ sin & 2 1 2 1 2 1 2 2 2 2 2 1 1 1 1 1 2 1 = = × = × = = × Moments ( 29 ( 29 F r u M z or y x Axis On Fd r F F r M a a O × • = = = × = , , sin θ Resultant Force ( 29 ( 29 ∫ ∫ ∫ ∫ = = = = = A L R A L R dA dx x xw F x A dA dx x w F Area Method Rules for Shear Diagrams 1) Concentrated force creates a jump in the shear diagram...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Crib Sheet-Test 1 - Sin/Cos Rule θ θ sin cos cos 2 sin...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online