## [answered] BME303 HW 6 Due: A beam with I shape cross section is under

I have a beam loading question. Attached is the document! Thank you!

BME303 HW 6 Due: 11/20/2016 Following HW #5, please solve the following related questions.

1. A beam with I shape cross section is under the loading as indicated in the Figure (P1 =

600 N, P2 = 300 N). Please find 1) Moment of Inertia of the beam. 2) Find xx and xx,

3) Find max stress its location.

Material property: E = 40 GPa, d = 80 mm, L = 240 mm, h = 20 mm, t = 5 mm

P1

d P2

d t d

h

2t L

h

2. A beam with rectangular cross sectional shape is under the loading as indicated in the

Figure. Please find 1) Find xx and xy as the function of x, 2) Find

( = 0.3), 3) Find max stress and strain and their location.

Material property: E = 30 GPa, b = 40 mm, h = 80 mm.

600 N

0.8 m xx, xy and q=750 N/m 0.8 m y

2.4 m x

3. Find xx and xy for the following beam. L = 100 mm, b = 8 mm, h = 15 mm, t = 2

mm, q(x) = 10 x (N) yy t q(x) h

L b 4. In the atom force microscope (AFM) technology, the measure force P is related to the

beam strain. A strain gage is placed at the bottom surface at the middle of the beam.

Find the interrelation between xx and P. The beam parameter is as follows: b =

2mm, h = 0.3 mm, E = 30 MPa.

L

Height d L/2

p

strain gage xx 5. Calculate moment of inertia for the following shapes.

t

L

60 deg L

R = 60 mm &amp; r = 40 mm L

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This question was answered on: Sep 18, 2020

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