This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Who wants to win a million dollars ? Who wants to drop the lowest score of his/her HW ? • $ 10,000 question • $ 100,000 question • $500,000 question • $1,000,000 question • $10,000 question • $100,000 question • $500,000 question • $1,000,000 question Lecture 21 Shearing Stresses in Beams and ThinWalled Members Shear Stress in Beams Introduction ( ) ( ) M y M dA F dA z M V dA F dA z y M dA F x z xz z x y xy y xy xz x x x = − = = = = = − = = = − = = = ∫ ∫ ∫ ∫ ∫ ∫ σ τ σ τ τ τ σ • Distribution of normal and shearing stresses satisfies • Transverse loading applied to a beam results in normal and shearing stresses in transverse sections. • Longitudinal shearing stresses must exist in any member subjected to transverse loading. • When shearing stresses are exerted on the vertical faces of an element, equal stresses must be exerted on the horizontal faces Shear Stresses in Beams of Rectangular Cross Section • In these cases, both normal and shear forces are developed in the beam. • Normal stresses are calculated with the Flexure Formula. • We will now look at the Shear Stresses Vertical Shear Stresses • Consider a beam of rectangular cross section subjected to a positive shear force. How the shear force is being passed in a beam ? Vertical & Horizontal Shear Stresses • Consider a cantilever beam made up of planks that are not bonded and subjected to transverse loading. • Each individual plank will be subjected to slip at the interfaces. • Plane sections before deformation do not remain plane after deformation. Vertical & Horizontal Shear Stresses • If the planks are bonded together to form a single beam, longitudinal...
View
Full Document
 Spring '08
 PAPADOPOULOS
 Statics, Force, Shear Stress, Shear, shear stresses

Click to edit the document details