Determine the state of stress at point B when the beam is subjected to the cable force of 4 kN. Indicate the result as a differential element. PDF

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Determine the state of stress at point B when the beam is subjected to the cable force of 4
kN. Indicate the result as a differential element....

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Determine the state of stress at point B when the beam is subjected to the cable force of 4 kN. Indicate the result as a differential element.

Draw the free body diagram of the beam.

Take moments about D . M D  0 4  0.625  C y  3.75  D y  0  0 Cy  0.6667 kN

Here, Cy is vertical reaction at C and D y is the vertical reaction at D . Write force equilibrium along x direction.  Fx  0

Cx  4  0 Cx  4 kN Here, Cx is horizontal reaction at C .

Draw the section of the beam.

Calculate the cross sectional area of the section. Ac  W  H  2 w  h  Here, W is the width of the whole rectangle, H is the height of the whole rectangle, w is the width of space rectangle and h is the height of the space rectangle. Substitute 0.150 m forW , 0.240 m for H , 0.0675 m for w and 0.200 m for h . Ac  0.150  0.240  2  0.0675  0.200  Ac  9  10 3 m 2

Calculate the moment of inertia of the section.  w h 3  W H3 I 2  12  12  Substitute 0.150 m forW , 0.240 m for H , 0.135 m for w and 0.200 m for h ....