Question

a. For the column shown in the diagram below, as the value of the applied force (P) increases, will the column buckle first in the in-plane direction (around axis y) or in the out of plane direction (around axis x)? Dimension \"d\" is greater than dimension \"c\". Explain the reason from your answer. $P_{cr} = \frac{\pi^2 EI}{(kL)^2}$ b. The cross section of a beam is shown below and it is subjected to a shear force of V = 80 kN, determine the value of shear stress ($\tau$) at the neutral axis. The second moment of inertia of the cross section around the neutral axis is 155.6(10)$^6$ m$^2$. c. For the shaft shown below, does the length of the shaft (L) affect the distribution of shear stresses in this shaft? Explain your answer.

          a. For the column shown in the diagram below, as the value of the applied force (P) increases, will the column buckle first in the in-plane direction (around axis y) or in the out of plane direction (around axis x)? Dimension \"d\" is greater than dimension \"c\". Explain the reason from your answer.
$P_{cr} = \frac{\pi^2 EI}{(kL)^2}$
b. The cross section of a beam is shown below and it is subjected to a shear force of V = 80 kN, determine the value of shear stress ($\tau$) at the neutral axis. The second moment of inertia of the cross section around the neutral axis is 155.6(10)$^6$ m$^2$.
c. For the shaft shown below, does the length of the shaft (L) affect the distribution of shear stresses in this shaft? Explain your answer.

a. For the column shown in the diagram below, as the value of the applied force (P) increases, will the column buckle first in the in-plane direction (around axis y) or in the out of plane direction (around axis x)? Dimension d̈ïs greater than dimension c̈.̈ Explain the reason from your answer.
Pcr = (π^2 EI)/((kL)^2)
b. The cross section of a beam is shown below and it is subjected to a shear force of V = 80 kN, determine the value of shear stress (τ) at the neutral axis. The second moment of inertia of the cross section around the neutral axis is 155.6(10)^6 m^2.
c. For the shaft shown below, does the length of the shaft (L) affect the distribution of shear stresses in this shaft? Explain your answer.

Added by Beth K.

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