A Derive the equation for the unit influence line for the reaction at the support B in the continuous beam shown in Fig. P.20.19 and calculate its value if a uniformly distributed load of intensity 20 kN/m covers the span AB; the flexural rigidity of the beam is EI, Also sketch the unit influence lines for the shear force and bending moment at the point D. Ans. 3 4x+- y= 32 Rp = 50 kN. 12

Q: 2335 N/m 3.66 m Figure P4.28 4.28 The homogeneous beam AB weighing 3560 N carries the distributed…

A:

Q: the beam shown in the figure, draw the influence lines for the reactions MA and RA and the shear and…

A: To draw ILD

Q: Beam ABC is loaded as shown. Support C settles 10 mm after the load is applied. taking E = 200GPa…

A: Modulus of elasticity(E)=200 Gpa, Moment of inertia(I)=300 x 106 mm4, Load on the beam(P)=10 kN/m,…

Q: Determine the reactions at the support and draw the final shear force and bending moment diagrams…

A: Using flexibility method of analysis###Determination of Support reactions and calculate of SF ,BM…

Q: A Bo Fig. P2.26 35° D 2.26 Member BD exerts on member ABC a force P directed along line BD. Knowing…

A:

Q: a. The reactions at A and B for the "weightless" beam shown in the figure. b. The internal…

A: Given: Required : Support reactions  Internal forces and moments at 1 m away from a and b

Q: Problem 2: For the beam shown in Figure 2. A. Find the reaction at support B (RB) B. Find the…

A: Finding out SFD and BMD.

Q: 13. Treating horizontal reaction at A as redundant, what is the horizontal movement at A of the…

A:

Q: The bar rotates in the horizontal plane about a smooth pin at the origin. The 2-kg sleeve A slides…

A: Given ;

Q: The curved beam in Fig. P9.8 has a triangular cross section with the di- mensions shown. If P = 40…

A:

Q: Question No 2: Determine the internal shear and moment acting at a section passing through point C…

A: Support reaction: ∑MB=0RA×9-50×9-12×156×9×93=0RA=284…

Influence Lines

The graphs that show the variation of a function at a specific point on a beam or truss due to a unit load placed at any point along the structure are known as influence lines in engineering. Some common functions that are studied with influence lines are shear, moment, and deflection. In designing beams and trusses, it is important to use influence lines in structures where loads would move along their span such as bridges, crane rails, conveyor belts, floor girders, etc. The influence lines help to study where a load will create the maximum effect for any of the functions.