Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a= 3.5 ft, b= 8.0 ft, c= 5.0 ft, d= 3.0 ft, w = 8.5 kips/ft and P = 54 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. P B C D E d For this loading, calculate the reaction forces A, and Ey acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since A, = 0, it has been omitted from the free-body diagram.)

A force (FCD = 4.49 kN) is applied to a utility pole as shown.a) Write an algebraic expression with appropriate subscripts for the moment about the line passing through OF. What alternate moment arms could be used?b) Create a 3x3 determinant for the moment about line OF and solve. What does the sign of your answer indicate?c) Find the shortest distance between line OF and the line of action of the force.d) Find the 3D angle between OF and CD.

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solve all parts. show all steps/solutions. show equations for shear and moment diagrams

Draw complete shear force and bending moment diagrams for the beam. Label all graphs with the appropriate units. All work must be shown that led to the construction of your diagrams. 4) 6 kN 4 kN/m 20 kN-m 6 m 6 m 6 m

Bonus Question: worth up to 20% additional on this assignment: Solve for shear and bending moment distribution on the beam below. Just write the equations for shear and bending moment as a function of distance from the left hand side (wall side) of the beam. Note that the cosine function is automatically changing the direction of the load (downward vs. upward) along the length of the beam. 4 cos

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Draw the shear and moment diagrams for the beam.

Question 13 Use the diagram shown above. Given • D₁ = 9 ft D₂=7 ft D₂ 3 D3-4 ft • W = 100 #/ft P = 800 # D. 1 D₂ X W P Solve for the internal moment at X. Note: Enter the numerical value only for your calculation results. You'll be asked to specify the unit for your calculation result in the following question. (This is due to Canvas' lack of ability to require units for calculation question.)

When a beam section is subjected to a shear load, a shear stress distribution is developed on the section. The distribution of the shear stress is not linear. Elasticity theory can be used to calculate the shear stress at any point. However, a simpler method can be used to calculate the average shear stress across the width of the section, a distance y above or below the neutral axis. The average VQ shear stress is given by T = Here V is the shear It force on the section, I is the moment of inertia of the entire section about the neutral axis, and t is the width of the section at the distance y where the shear stress is being calculated. Q is the product of the area of the section above (or below) y and the distance from the neutral axis to the centroid of that area (Figure 1). In short, Q is the moment of the area about the neutral axis. I Figure 1 of 1 An I-beam has a flange width b = 250 mm, height h = 250 mm, web thickness tw = 9 mm, and flange thickness tf = 14 mm. Use the…