Question

A pipe is fixed to a wall at A and subjected to forces as shown $\qquad$ $F_z$ $b$ $z$ $a$ $F_x$ $y$ $P$ $A$ $x$ $y$ $x$ $P$ Cross-sectional view at P Outer diameter of the pipe ($d_o$)=90 mm Inner diameter of the pipe ($d_i$)=80 mm $F_x = 14 \text{ kN}$ $F_z = 40 \text{ kN}$ $a = 430 \text{ mm}$ $b = 225 \text{ mm}$ Cross-sectional area of the pipe ($A$) = 1335 mm$^2$ Centroidal moment of inertia with respect to x or y axis ($I_x$ or $I_y$) = 1.21 x 10$^5$ mm$^4$ Polar moment of inertia ($J$) = 2.42 x 10$^5$ mm$^4$ $Q_{max}$ (in transverse shear chapter) = 1.808 x 10$^6$ mm$^3$ a) Re-write your calculated a and b values. b) Find normal and shear stresses at point P, which is located at the surface of the pipe as indicated. c) Show the stress state on a cube element at P indicating the axes, clearly

          A pipe is fixed to a wall at A and subjected to forces as shown
$\qquad$
$F_z$
$b$
$z$
$a$
$F_x$
$y$
$P$
$A$
$x$
$y$
$x$
$P$
Cross-sectional view at P
Outer diameter of the pipe ($d_o$)=90 mm
Inner diameter of the pipe ($d_i$)=80 mm
$F_x = 14 \text{ kN}$
$F_z = 40 \text{ kN}$
$a = 430 \text{ mm}$
$b = 225 \text{ mm}$
Cross-sectional area of the pipe ($A$) = 1335 mm$^2$
Centroidal moment of inertia with respect to x or y axis ($I_x$ or $I_y$) = 1.21 x 10$^5$ mm$^4$
Polar moment of inertia ($J$) = 2.42 x 10$^5$ mm$^4$
$Q_{max}$ (in transverse shear chapter) = 1.808 x 10$^6$ mm$^3$
a) Re-write your calculated a and b values.
b) Find normal and shear stresses at point P, which is located at the surface of the pipe as indicated.
c) Show the stress state on a cube element at P indicating the axes, clearly

A pipe is fixed to a wall at A and subjected to forces as shown

Fz
b
z
a
Fx
y
P
A
x
y
x
P
Cross-sectional view at P
Outer diameter of the pipe (do)=90 mm
Inner diameter of the pipe (di)=80 mm
Fx = 14 kN
Fz = 40 kN
a = 430 mm
b = 225 mm
Cross-sectional area of the pipe (A) = 1335 mm^2
Centroidal moment of inertia with respect to x or y axis (Ix or Iy) = 1.21 x 10^5 mm^4
Polar moment of inertia (J) = 2.42 x 10^5 mm^4
Qmax (in transverse shear chapter) = 1.808 x 10^6 mm^3
a) Re-write your calculated a and b values.
b) Find normal and shear stresses at point P, which is located at the surface of the pipe as indicated.
c) Show the stress state on a cube element at P indicating the axes, clearly

Added by Joan A.

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