6. A simply supported beam of L length carries a uniformly distributed load W throughout its length as shown. Determine the position of the support R1 and R2 with respect to the ends, X, so that the bending moment on the beam is the least possible or minimum. (Hint: The bending moment is at minimum when the maximum positive moment is equal to the maximum negative moment.) Find X in terms of L. W 'R1 R2

Q: Assume that the flexural rigidity of the beam is constant. Given: w=6w0 Determine the reaction at…

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Q: Determine the MOMENTS acting at the ends of each member of the frame shown below. Assume the…

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Q: Determine the force in members CE, CF and BF for the truss loaded as shown. Ans. BF = 0.289P (T) B…

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Q: If the shear at point A on a beam is zero, then A.the slope of the bending moment at A must be zero…

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Q: A beam ACB is supported by a collar at A and rest on a smooth surface at B. The collar is fixed to…

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Q: Problem 2-A concentrated couple, Mo = 600 Nm acts at the center of the simply Supported beam which…

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Q: Problem: Determine the force in the spring of stiffness k. El is constant. A B k Prob. 12-123 2 a

A: EI = constant Determine the force (R) in the spring of stiffness k.

Q: A symmetrical beam cross section is shown below. The centroid is in the exact centre of the section.…

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Q: Two identical rodes except for their length suppoers a rigid beam loaded with a negligible mass. If…

A: Determine: a.) force in rod C b.) force in rod D

Q: Determine the moments at Band C, then draw the moment diagram for the beam. Assume the supports at…

A: Given : A symmetrically loaded continuous beam Required  Moment at roller supports B and C and the…

Q: A statically indeterminate beam, in which the horizontal forces at the left and right ends (points A…

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Q: Given the truss below, take F₁ = 8kN, F₂= 4kN, L= 1.5m, h=2m. Use the Method of Sections. 21 (T) 20…

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Q: F1 F2 M A B E Determine the shear force and bending moment in the beam. Use F1 = 1000 N, F2 = 800 N,…

A: Finding out SFD and BMD.

Q: The simple beam AB shown in the figure is subjected to a concentrated load P and a clockwise couple…

A: A simply supported beam is given as shown in the figure above and it has been asked in the question…

Q: o In total, there are Σ F, = 0. : A, = Σ ΜΑ = 0 : Ex = ΣFx = 0: Ax= 2. Free body: member CDE: Mc =…

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Q: 7) A variable cross-sectional beam is pinned from the point B by BD bar as shown. Flexural rigidity…

A: given : -  beam is pinned from the point B by BD bar              FR or beam AC is 2 EI and CB is EI…

Q: The beam is subjected to a load P at its end. Determine the displacement at C. EI is constant. 64 A…

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Q: 2. Determine the moments at A, B, and C. Assume the supports at B and Care rollers and A is fixed. E…

A: To determine moment at A,B and C using slope deflection equation.

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.