Strength of Materials

Square | Rectangle | Triangle| Circle | Ring | Half Circle | Ellipse | Ellipse Ring | Hexagon | Trapezoid | Rectangular Hollow Section

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

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

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

$$W_1 = W_2 = {\pi \cdot d^3 \over 32}$$ $$I_1 = I_2 = {\pi \cdot d^4 \over 64}$$
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

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

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

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

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


Hexagon

R = mm

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

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

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

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