Chapter 7, Problem 57P

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 =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)

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

5. For the beam loaded as shown, calculate the internal axial force, shear force, and bending moment on the cross section through points C and D. Assume the reactions at the supports A and B are vertical. Answer: Vp = 1.875 kN, Mp = 3.94 kNm 6 kN 3 kN/m 1.5 m 1.5 m- 0.5 m 0.5 m

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 F, =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 D 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) (i) The reaction at the fixed support "A" (unit in N)=_ (ii) Shear force at the point "A" (Unit in N) = %3D (iii) Shear force at the point "E" (Unit in N) = %3D

A fabric of woven polymer fibers is to be held in tension while drying after a treatment in a chemical bath. Based on the schematic given below, find the force FG required to maintain this tension, the maximum torsion experienced by the shaft and the reactions at A and B. Then draw the shear and bending moment diagrams for the shaft in both the x-y and y-z planes. Finally determine the maximum resultant bending moment and the location along the shaft where it occurs (treat point A as the origin). Treat the force of the sheet as a distributed load over the given length. 0.1 m 0.05 m 0.5 m FG 0.05 m F₂ = 200 N RAX 4 RAZ 0.05 m p 0.05 m p F₂ = 200 N F₁ = 900 N Z F₁ = 900 N 0.075 m x RBX B RB₂ 0.075 m p FG

The beam shown below is acted upon by a triangular distributed load, a couple moment, and a point force as shown. It is supported by a roller at A and a pin at B. 3 m 1 m 1 т F The applied forces/moments are: w = 150 N/m M = 65 N•m F = 20 N i. Determine the reaction forces at A and B. ii. Find the location of zero shear between A and B. iii. Determine the absolute maximum bending moment for the beam. iv. Draw the shear force diagram for the beam. v. Draw the bending moment diagram for the beam. Part A - Part A Determine the x – component of the reaction force at roller A. Use positive values to represent forces oriented up or to the right and negative values to represent forces oriented down or to the left. Express your answer in units of N to three significant figures. If no reaction force exists for a particular component, enter 0. Ag = 0 N Submit Previous Answers Correct Part B - Part B Determine the y – component of the reaction force at roller A. Use positive values to represent…

Problems 4.1-4.18 For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Neglect the weight of the beam.

The figure below shows a horizontal beam of uniform cross-section, rigidly built-in at each end and having a 10 m long clear span. The beam is loaded as shown. Draw the shear force and bending moment diagrams and determine the point(s) of contraflexture. 40 kN 32 kN 32 kN 40 kN 25 kN/m 2 m 2 m 2 m 2 m 2 m

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