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


I have an assignment for beam loading problems. The document is attached here. 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 & r = 40 mm L

 


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