Problem_09_09

Problem_09_09 - Problem 9.9 Given: Curved beam is built up...

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

View Full Document Right Arrow Icon
Problem 9.9 Given: Curved beam is built up by welding together rectangular and elliptical cross section curved beams. The center of curvature is located 20 mm from B. The curved beam is subjected to a positive bending moment M x . Find: the the stress at B and C in terms of M x . Solution: For the ellipse b 1 7.5 mm := h 1 15 mm := A 1 π h 1 b 1 353.429 mm 2 = := R 1 50 mm := A m1 2 π b 1 h 1 R 1 R 1 2 h 1 2 7.235 mm = := For the rectangle b 2 30 mm := a 2 20 mm := c 2 35 mm := A 2 b 2 c 2 a 2 () 450 mm 2 = := R 2 a 2 c 2 + 2 27.5 mm = := A m2 b 2 ln c 2 a 2 16.788 mm = := Total section AA 1 A 2 + 803.429 mm 2 = := A m A m1 A m2 + 24.024 mm = := R R 1 A 1 R 2 A 2 + A 37.398 mm = := N' 0 := Let M x 1N m := At point B r2 0 m m := σ θθ N' A M x Ar A m () Ar RA m A () + 0.212 MPa = := or σ θθ 0.212 M x = MPa At point C r6 5 m m := σ θθ N' A M x Ar A m () Ar RA m
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

Problem_09_09 - Problem 9.9 Given: Curved beam is built up...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online