Problem_set_6

3 For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V = 9 kN, V2 = 9 kN, V3 = 200 mm, and V4 = 1100 mm. ATAT-V3 Provide values at all key points shown in the given shear-force and bending-moment diagrams. X (mm) B A = B = C = D = E= F= P = Q = E * KN * KN * KN × KN KN x KN ✩ kN.mm *kN.mm D 0.00 Reaction force R₁ (left) = In the shear-force and bending-moment diagrams given, +V 0.00 X (mm) 6.3 kN and reaction force R2 (right) = P 11.7 kN. Q 0.00

For the figure shown, find the horizontal reaction and vertical reaction at A and also the vertical reaction at B.  Determine the Internal forces at point C. Construct the shear and moment equations/functions at segment DE (1.5 < x < 3.0).Note point D is at 1.5m from A and point E is 3.0m from A.

5. Draw the shear force for the beam shown. Label all significant points on the diagram and clearly distinguish straight-line and curve portions of the diagram. The ground reactions are Ay = 340 kN upward, Cx = 0 and Cy = 620 kN upward 160 kN 120 kN/m 50 kN/m C -5 m- -2 m- -2 m

Answer step by step showing equation derivation of each section and determine values at key points

Draw the shear and moment diagrams and then answer the questions. Assume w = 5.6 kN/m, a = 320 mm, b = 300 mm. A B The distance x is measured from point A to the right. Questions: Atx = 120 mm, V= i N, M= i N-m Atx = 400 mm, V= i N, M= i N•m

Determine the normal force, shear force, and moment at point C. Take that P = 8 kN and M = 33 kN m. (Figure 1) Figure M B . 1 of 1 -1.5 m 1.5 m 1.5 m-1.5 m-

The beam is supported by a pin at B and a roller at D. The applied loads shown in the figure have magnitudes F₁ = 500 lb, F2 = 800 lb, w = 180 lb/ft, and M = 2200 ftlb. Find the maximum (magnitude) shear and bending moment in the beam, as well as its location, measured from the left of the beam. In the case that the maximum occurs in multiple locations, use the left-most value. ру IF₁ M W F₂ 2013 Michael Swanbom CC BY NC SA B• a * Values for dimensions on the figure are given in the following table. Variable Value a 4 ft b 8 ft C 4 ft Maximum Shear force V = Maximum Shear force M N located at x = = Nm located at x = m m x

The cantilever beam is supported by a fixed support at A, and subjected to the force F = 600 lb and the couple M = 2810 ft-lb. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(x) and M(r). Take a = 0 at point A. a •b C M A- В Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 5.2 ft b 3.9 ft Support Reactions The force reaction at A is Ib (take up as positive). The couple moment reaction at A is ft-lb (take counterclockwise as positive). Shear Force and Bending Moment Equations In section AB: V(x)- In section BC: V(x)- lb and M(x)= ft-lb. lb and 'M(x)= ft-lb.

Find the horizontal reaction and vertical reaction at A and also the vertical reaction at B. Determine the Internal forces at point C. Construct the shear and moment equations/functions at segment DE (1.5 < x < 3.0).Note point D is at 1.5m from A and point E is 3.0m from A.

Problem 5 Derive shear force and bending moment equations as function of x, then draw the shear force and bending moment diagrams. 6 kN 8 kN/m -1.5 m 1.5 m-

Smooth journal bearings at A and B that only exert vertical reactions on the shaft as shown below support the shaft. Based on the loading and support conditions shown, address the following: (a) Sketch the shear and moment diagrams using the graphical method - label all significant conditions. (b) If d = 90 mm, determine the absolute maximum bending stress in the beam, and sketch the stress distribution acting over the cross section. A 3 m 12 kN/m B 1.5 m

Covernt from English to Metric Units and Draw FBD. Write your step by step solutions.