Question

Static Failure Theories: A simply-supported beam of square cross-section of side 50 mm is used as a tension element in a machine. The beam is subject to a transverse load of $P_1$ and an axial force of $P_2$ as shown below. The transverse loads acts at a distance $x_1$ from the left support. The beam is made of AISI 1020 HR steel. Find the safety factor at points 1 and 2 as estimated using MSST and DET. Point 1 is on the neutral axis of bending and 2 is at the top of the beam. $P_1$ $L$ 100 mm $x_1$ 400 mm 600 mm 2 $P_2$ Assume $x_1$ such that 100 mm < $x_1$ < 400 mm. Also assume both $P_1$ and $P_2$ are between 50 kN and 250 kN. Sketch the shear force and bending moment diagrams for the transverse loading. $x_1 = $ 200 mm $P_1 = $ 100 kN $P_2 = $ 200 kN Point 1 Point 2 Normal reaction, N Shear force reaction, V Bending moment reaction, M Axial stress, $\sigma_a$ Bending stress, $\sigma_b$ Transverse shear stress, $\tau$ Principal stress, $\sigma_A$ Principal stress, $\sigma_B$ Maximum shear stress, $\tau_{max}$ MSST safety factor, $\eta$ DET safety factor, $\eta$

          Static Failure Theories: A simply-supported beam of square cross-section of side 50 mm is
used as a tension element in a machine. The beam is subject to a transverse load of $P_1$ and an
axial force of $P_2$ as shown below. The transverse loads acts at a distance $x_1$ from the left support.
The beam is made of AISI 1020 HR steel. Find the safety factor at points 1 and 2 as estimated
using MSST and DET. Point 1 is on the neutral axis of bending and 2 is at the top of the beam.
$P_1$
$L$
100 mm
$x_1$
400 mm
600 mm
2
$P_2$
Assume $x_1$ such that 100 mm < $x_1$ < 400 mm. Also assume both $P_1$ and $P_2$ are between 50 kN
and 250 kN. Sketch the shear force and bending moment diagrams for the transverse loading.
$x_1 = $ 200 mm      $P_1 = $ 100 kN      $P_2 = $ 200 kN
Point 1
Point 2
Normal reaction, N
Shear force reaction, V
Bending moment reaction, M
Axial stress, $\sigma_a$
Bending stress, $\sigma_b$
Transverse shear stress, $\tau$
Principal stress, $\sigma_A$
Principal stress, $\sigma_B$
Maximum shear stress, $\tau_{max}$
MSST safety factor, $\eta$
DET safety factor, $\eta$

Static Failure Theories: A simply-supported beam of square cross-section of side 50 mm is
used as a tension element in a machine. The beam is subject to a transverse load of P1 and an
axial force of P2 as shown below. The transverse loads acts at a distance x1 from the left support.
The beam is made of AISI 1020 HR steel. Find the safety factor at points 1 and 2 as estimated
using MSST and DET. Point 1 is on the neutral axis of bending and 2 is at the top of the beam.
P1
L
100 mm
x1
400 mm
600 mm
2
P2
Assume x1 such that 100 mm < x1 < 400 mm. Also assume both P1 and P2 are between 50 kN
and 250 kN. Sketch the shear force and bending moment diagrams for the transverse loading.
x1 = 200 mm P1 = 100 kN P2 = 200 kN
Point 1
Point 2
Normal reaction, N
Shear force reaction, V
Bending moment reaction, M
Axial stress,
Bending stress,
Transverse shear stress, τ
Principal stress,
Principal stress,
Maximum shear stress, τmax
MSST safety factor, η
DET safety factor, η

Added by Sean H.

Question

Please give Ace some feedback