HW10_beams_andmembrane

HW10_beams_andmembrane - Labels: 1x, 1z, 2x, 2z, 3x,3z K1...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

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

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

Unformatted text preview: Labels: 1x, 1z, 2x, 2z, 3x,3z K1 1.125 10 9 3.75 10 8 7.5 10 8 3.75 10 8 3.75 10 8 3.75 10 8 1.688 10 9 3.75 10 8 1.5 10 9 1.875 10 8 7.5 10 8 3.75 10 8 7.5 10 8 3.75 10 8 1.5 10 9 1.5 10 9 3.75 10 8 3.75 10 8 3.75 10 8 1.875 10 8 3.75 10 8 1.875 10 8 = K1 B T D B A t := B 0.5 1 1 0.5 1 1 0.5 0.5 = B 1 2 A b1 c1 c1 b1 b2 c2 c2 b2 b3 c3 c3 b3 := c3 x2 x1 := b3 y1 y2 := D E 1 2 1 1 1 2 := c2 x1 x3 := b2 y3 y1 := c1 x3 x2 := b1 y2 y3 := Element 1 : x3 2 := y3 1 := L3 1 := I 1 12 b h 3 := x2 := y2 := L2 2 := x1 := y1 1 := h 0.06 := b 0.06 := := A 2 1 2 := t 15 10 3 := E 100 10 9 := Definition of material properties etc: Coordinate system used: x: to the right, y: into the paper, z: pointing up HW 10 Solution: beams combined with the membrane element inserting zero rows and columns where needed (for the rotational degree of freedom) zero_6_1 0 0 0 0 0 0 ( ) T := zero_1_9 0 0 0 0 0 0 0 0 0 ( ) := inserting zero columns K1_large augment submatrix K1 0 , 5 , , 1 , ( ) zero_6_1 , submatrix K1 0 , 5 , 2 , 3 , ( ) , zero_6_1 , submatrix K1 0 , 5 , 4 , 5 , ( ) , zero_6_1 , ( ) := inserting zero rows K1_large stack submatrix K1_large 0 , 1 , , 8 , ( ) zero_1_9 , submatrix K1_large 2 , 3 , , 8 , ( ) , zero_1_9 , submatrix K1_large 4 , 5 , , 8 , ( ) , zero_1_9 , ( ) := K1_large 1.125 10 9 3.75 10 8 7.5 10 8 3.75 10 8 3.75 10 8 3.75 10 8 1.688 10 9 3.75 10 8 1.5 10 9 1.875 10 8 7.5 10 8 3.75 10 8 7.5 10 8 3.75 10 8 1.51....
View Full Document

Page1 / 7

HW10_beams_andmembrane - Labels: 1x, 1z, 2x, 2z, 3x,3z K1...

This preview shows document pages 1 - 3. Sign up to view the full document.

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