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!Ignotum/Formulae/Soli

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# Physics > Solids
F=kx
Known as Hooke's law, where:
F=tension in a material (N)
k=spring constant for the material (N/m)
x=extension of the material (m)

stress=F/A
Where:
F=tension in a material (N)
A=cross-sectional area or material (m�)
Units: N/m�

strain=x/l
Where:
x=extension of the material in tension
l=original length of material
Note: It has no units, it is merely a
ratio
Young modulus=stress/strain
Young modulus is a way of measuring the
strength of a material independant of its
size, length, area etc.
Units: N/m�

E=�kx�
Where:
E=elastic strain energy (J)
k=spring constant for the material (N/m)
x=extension of the material (m)

E/V=� stress � strain
Where:
E/V=elastic strain energy per unit volume





















































































































00000000  23 20 50 68 79 73 69 63  73 20 3e 20 53 6f 6c 69  |# Physics > Soli|
00000010  64 73 0a 46 3d 6b 78 0a  4b 6e 6f 77 6e 20 61 73  |ds.F=kx.Known as|
00000020  20 48 6f 6f 6b 65 27 73  20 6c 61 77 2c 20 77 68  | Hooke's law, wh|
00000030  65 72 65 3a 0a 46 3d 74  65 6e 73 69 6f 6e 20 69  |ere:.F=tension i|
00000040  6e 20 61 20 6d 61 74 65  72 69 61 6c 20 28 4e 29  |n a material (N)|
00000050  0a 6b 3d 73 70 72 69 6e  67 20 63 6f 6e 73 74 61  |.k=spring consta|
00000060  6e 74 20 66 6f 72 20 74  68 65 20 6d 61 74 65 72  |nt for the mater|
00000070  69 61 6c 20 28 4e 2f 6d  29 0a 78 3d 65 78 74 65  |ial (N/m).x=exte|
00000080  6e 73 69 6f 6e 20 6f 66  20 74 68 65 20 6d 61 74  |nsion of the mat|
00000090  65 72 69 61 6c 20 28 6d  29 0a 0a 73 74 72 65 73  |erial (m)..stres|
000000a0  73 3d 46 2f 41 0a 57 68  65 72 65 3a 0a 46 3d 74  |s=F/A.Where:.F=t|
000000b0  65 6e 73 69 6f 6e 20 69  6e 20 61 20 6d 61 74 65  |ension in a mate|
000000c0  72 69 61 6c 20 28 4e 29  0a 41 3d 63 72 6f 73 73  |rial (N).A=cross|
000000d0  2d 73 65 63 74 69 6f 6e  61 6c 20 61 72 65 61 20  |-sectional area |
000000e0  6f 72 20 6d 61 74 65 72  69 61 6c 20 28 6d b2 29  |or material (m.)|
000000f0  0a 55 6e 69 74 73 3a 20  4e 2f 6d b2 0a 0a 73 74  |.Units: N/m...st|
00000100  72 61 69 6e 3d 78 2f 6c  0a 57 68 65 72 65 3a 0a  |rain=x/l.Where:.|
00000110  78 3d 65 78 74 65 6e 73  69 6f 6e 20 6f 66 20 74  |x=extension of t|
00000120  68 65 20 6d 61 74 65 72  69 61 6c 20 69 6e 20 74  |he material in t|
00000130  65 6e 73 69 6f 6e 0a 6c  3d 6f 72 69 67 69 6e 61  |ension.l=origina|
00000140  6c 20 6c 65 6e 67 74 68  20 6f 66 20 6d 61 74 65  |l length of mate|
00000150  72 69 61 6c 0a 4e 6f 74  65 3a 20 49 74 20 68 61  |rial.Note: It ha|
00000160  73 20 6e 6f 20 75 6e 69  74 73 2c 20 69 74 20 69  |s no units, it i|
00000170  73 20 6d 65 72 65 6c 79  20 61 0a 72 61 74 69 6f  |s merely a.ratio|
00000180  0a 59 6f 75 6e 67 20 6d  6f 64 75 6c 75 73 3d 73  |.Young modulus=s|
00000190  74 72 65 73 73 2f 73 74  72 61 69 6e 0a 59 6f 75  |tress/strain.You|
000001a0  6e 67 20 6d 6f 64 75 6c  75 73 20 69 73 20 61 20  |ng modulus is a |
000001b0  77 61 79 20 6f 66 20 6d  65 61 73 75 72 69 6e 67  |way of measuring|
000001c0  20 74 68 65 0a 73 74 72  65 6e 67 74 68 20 6f 66  | the.strength of|
000001d0  20 61 20 6d 61 74 65 72  69 61 6c 20 69 6e 64 65  | a material inde|
000001e0  70 65 6e 64 61 6e 74 20  6f 66 20 69 74 73 0a 73  |pendant of its.s|
000001f0  69 7a 65 2c 20 6c 65 6e  67 74 68 2c 20 61 72 65  |ize, length, are|
00000200  61 20 65 74 63 2e 0a 55  6e 69 74 73 3a 20 4e 2f  |a etc..Units: N/|
00000210  6d b2 0a 0a 45 3d bd 6b  78 b2 0a 57 68 65 72 65  |m...E=.kx..Where|
00000220  3a 0a 45 3d 65 6c 61 73  74 69 63 20 73 74 72 61  |:.E=elastic stra|
00000230  69 6e 20 65 6e 65 72 67  79 20 28 4a 29 0a 6b 3d  |in energy (J).k=|
00000240  73 70 72 69 6e 67 20 63  6f 6e 73 74 61 6e 74 20  |spring constant |
00000250  66 6f 72 20 74 68 65 20  6d 61 74 65 72 69 61 6c  |for the material|
00000260  20 28 4e 2f 6d 29 0a 78  3d 65 78 74 65 6e 73 69  | (N/m).x=extensi|
00000270  6f 6e 20 6f 66 20 74 68  65 20 6d 61 74 65 72 69  |on of the materi|
00000280  61 6c 20 28 6d 29 0a 0a  45 2f 56 3d bd 20 73 74  |al (m)..E/V=. st|
00000290  72 65 73 73 20 d7 20 73  74 72 61 69 6e 0a 57 68  |ress . strain.Wh|
000002a0  65 72 65 3a 0a 45 2f 56  3d 65 6c 61 73 74 69 63  |ere:.E/V=elastic|
000002b0  20 73 74 72 61 69 6e 20  65 6e 65 72 67 79 20 70  | strain energy p|
000002c0  65 72 20 75 6e 69 74 20  76 6f 6c 75 6d 65 0a 0a  |er unit volume..|
000002d0  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |................|
*
00000340  0a 0a 0a 0a                                       |....|
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