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Strength of Materials


Square

a = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$W_1 = W_2 = {a^3 \over 6}$$ $$I_1 = I_2 = {a^4 \over 12}$$
W1 = W2 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I1 = I2 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Rectangle

b = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$W_1 = {b.h^2 \over 6} \qquad W_2 = {b^2.h \over 6}$$ $$I_1 = {b.h^3 \over 12} \qquad I_2 = {b^3.h \over 12}$$
W1 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

W2 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I1 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I2 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Triangle

b = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$e = {2 \over 3}h$$ $$W_1 = {b.h^2 \over 24} \qquad W_2 = {b^2.h \over 24}$$ $$I_1 = {b.h^3 \over 36} \qquad I_2 = {b^3.h \over 48}$$
e = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

W1 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

W2 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I1 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I2 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Circle

D = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$W_1 = W_2 = {\pi.d^3 \over 32}$$ $$I_1 = I_2 = {\pi.d^4 \over 64}$$
W1 = W2 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I1 = I2 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Ring

d = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

D = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$W_1 = W_2 = {\pi \over 32}\left({D^4 - d^4 \over D}\right)$$ $$I_1 = I_2 = {\pi \over 64}(D^4 - d^4)$$
W1 = W2 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I1 = I2 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Half Circle

r = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$e = r\left(1 - {4 \over 3.\pi} \right)$$ $$I_1 = \left({\pi \over 8} - {8 \over 9.\pi} \right) r^4$$ $$W_1 = {I_1 \over e}$$
e = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

W1 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I1 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Ellipse

a = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

b = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$W_1 = {\pi.a^2.b \over 4} \qquad W_2 = {\pi.a.b^2 \over 4}$$ $$I_1 = {\pi.a^3.b \over 4} \qquad I_2 = {\pi.a.b^3 \over 4}$$
W1 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

W2 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I1 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I2 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Ellipse Ring

a1 = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

b1 = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

a2 = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

b2 = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$I_1 = (a_1^3.b_1 - a_2^3.b_2)$$ $$W_1 = {I_1 \over a_1}$$
W1 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I1 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Heagon

R = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$W_1 = {5 \over 8}R^3 \qquad W_2 = 0.5413R^3$$ $$I_1 = I_2 = {5 \over 16}\sqrt{3} R^4$$
W1 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

W2 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I1 = I2 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Trapezoid

b = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

b1 = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$e = {1 \over 3} {3.b + 2.b_1 \over 2.b + b_1}h$$ $$W_1 = {6.b^2 + 6.b.b_1 + b_1^2 \over 12(3.b + 2.b_1)}h^2$$ $$I_1 = {6.b^2 + 6.b.b_1 + b_1^2 \over 36(2.b + b_1)}h^3$$
e = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

W1 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I1 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Sections

b = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

B = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

H = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$W_1 = {B.H^3 - b.h^3 \over 6.H}$$ $$I_1 = {B.H^3 - b.h^3 \over 12}$$
W1 = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

I1 = mm4

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001