The beam shown supports a load that varies uniformly from 250 N/m at the left end to 0 N/m at the right end. The lengths of the beam segments are d₂ = 2 m, d₂ = 2 m, and d₂ = 8 m.
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- The horizontal beam ABC of an oil-well pump has the cross section shown in the figure. If the vertical pumping force acting at end C is 9 kips and if the distance from the line of action ofthat force to point B is 16 ft, what is the maximum bending stress in the beam due to the pumping force?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 0.00For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V = 7 kN, V2 = 7 kN, V3 = 100 mm, and V4 = 1300 mm. ATAT V3 (mm) O Provide values at all key points shown in the given shear-force and bending-moment diagrams. (mm) A с B Reaction force R₁ (left) = E D 0.00 F +V 0.00 X (mm) 7 kN and reaction force R₂ (right) = P 7 kN. Q 0.00
- Problems The beam shown supports a load that varies uniformly from 100 N/m at the left end to 200 N/m at the right end. The lengths of the beam segments are d1 = 12 m, d2 = 8 m, and d3 = 4 m. 1. Determine the reaction at A. 2. Determine the reaction at C. 3. Draw a schematic of the standard convention for the meaning of positive shears and bending moments (see Section 8.2). Use your diagram to help you answer 4 And 5. 4. Determine the internal shear at a section passing through point D. 5. Determine the internal bending moment at a section passing through point D.Draw the shear force and bending moment diagram for the loaded beam shown below. Also mark the salient points in the diagram. where F=20 N, F2=70N, F3=80N, a=3m, b=2 m, c=6m & d=2m. Neglect the self weight of the beam. F1 F2 F3 b Shear force at the point "B" = N) (unit in The Reaction at the support "A" RA (Unit in N) is The Reaction at the support "B" Rg (Unit in N) is Bending Moment with respect to "B" = (unit Nm) Shear force at the point "A" = N) Bending Moment with respect to "E" = (unit Nm) (unit in Shear force at the point "C" = _ (unit in N) Bending Moment with respect to "D" = (unit Nm) Bending Moment with respect to "C" = (unit Nm) Shear force at the point "D" = N) (unit in Bending Moment with respect to "A" = (unit Nm) Shear force at the point "E" = N) (unit inDraw the Shear force diagram & Bending moment diagram for the cantilever beam as shown in figure, mark the salient points in the diagram. Neglect the self-weight of the beam, where F1 =25 N, F2 =40N, F3 =30 N, F4 =20N, a =5 m, b=2 m, c=4 m, d=4 m F4 F3 F2 F1 E, A d b a (Enter only the values in the boxes by referring the units given in bracket. Also upload the hand written answer in the link provided)
- Draw the Shear force diagram & Bending moment diagram for the cantilever beam as shown in figure, mark the salient points in the diagram. Neglect the self-weight of the beam, where F1 =30 N, F2=60N, F3 =60 N, F4 =80N, a =3 m, b=1 m, c=5 m, d=4 m The reaction at the fixed support "A" (unit in N)=_____________ Answer for part 1 (ii) Shear force at the point "A" (Unit in N) = ________ Answer for part 2 (iii) Shear force at the point "B" (Unit in N) = ________ Answer for part 3 (iv) Shear force at the point "C" (Unit in N) = ________ Answer for part 4 (v) Shear force at the point "D" (Unit in N) = ________ Answer for part 5 (vi) Shear force at the point "E" (Unit in N) = ________ Answer for part 6 (vii) Bending moment at the point "E"(unit in Nm) = ________________ Answer for part 7 (viii) Bending moment at the point "D"(unit in Nm) = ________________ Answer for part 8 (ix) Bending moment at the point "C"(unit in Nm) = ________________ Answer for part 9 (x) Bending moment…SHEAR AND MOMENT DIAGRAM PROBLEM 2 Use the AREA method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 6.9 ft, b = 10.4 ft, c = 5.8 ft, and w = 9.5 kips/ft. Label all significant points on each diagram and identify the maximum moments (both positive and negative) along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. Determine the maximum shear force and bending moment in the beam. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. The roller at point D indicates that motion is restricted both up and down, and the beam will not lift off the roller. a B W b O D XSHEAR AND MOMENT DIAGRAM PROBLEM 2 Use the AREA method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 6.9 ft, b = 10.4 ft, c = 5.8 ft, and w = 9.5 kips/ft. Label all significant points on each diagram and identify the maximum moments (both positive and negative) along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. Determine the maximum shear force and bending moment in the beam. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. The roller at point D indicates that motion is restricted both up and down, and the beam will not lift off the roller. a B W b C D X
- Draw the free body diagram, shear force diagram, and bending moment diagram for section BC and AB of the beam shown below. Make one set for the horizontal plane and another set for the vertical plane. The values of P1 and P2 are not specifed and can be kept generic.Q3. section as shown in Figure 3(b). The beam shown in Figure 3(a) is pinned at A and has a roller support at F. The beam is a channel a) Determine the support reactions at A and F. b) Derive the expression, in terms of x, for the bending moment in the beam, for the region between A and C only; that is, for 0 < x < 2 m. Note: x = 0 at A. c) Draw the shear force diagram for the beam. d) Draw the bending moment diagram for the beam. e) Calculate the maximum normal stress around the centroidal x-axis for the beam. f) Calculate the second moment of area of the beam cross section about the centroidal x-axis. 4kN 2kN 10KN/m 1m 1m 2m 1m 1m Figure 3 (a): Beam under loading у-аxis 155 mm 15 mm 15 mm 15 mim 275 mm 15 mm 15 mm 15 mm 15 mm Х-ахisThe simply supported beam is subjected to the force F = 700 N and the uniform distributed load with intensity w = 150 N/m. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(r) and M(x). Take a = 0 at point A. 19 F a 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 m 2.6 m 3.12 m Support Reactions The reaction at A is N. The reaction at D is N. Shear Force and Bending Moment Equations In section AB: V(x)= N and M(x)= N-m. In section BC: v(x)- N and M(x)= N-m. In section CD: V(x)- N and M(x)= N-m. A