Write the shear and moment equations for the semi-circular arch shown in Figure below if (a) the load P is vertical asshown and (b) the load P acts horizontally to the left at the top ofthe arch.BR

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Answered: Write the shear and moment equations…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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2. Draw the shear and moment diagrams for the compound beam shown in the figure. Assume the supports at A and C are rollers, and B and E are pin connections. 150 kN m 20 kN/m 5m 30 kN B C 30 kN/m D E 2m+3m-3m-
3. The cross section of a weightless quarter circular gate AB of width 0.9 m is shown in Figure 3.The hinge is along AA. Calculate the force R at B to hold the gate in this position.
Calculate the reactions of supports for each beam below using three-moment equation.
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QUESTION I A three hinged carries uniformly distributed load of 16+X kN/m and incline concentrated load of 32+Y kN. This arch is supported with pinned support at A and roller support at B. To ensure the stability of the arch, a tie is attached to a point between member BC and at the end member at point A as shown in the figure. (a) Find the vertical reaction, VA and Va at supports. X=0, Y=5 (b) Find the tension in cable tie. (c) Determine shear, normal and moment forces at point D and E (3 m from support A) 32+Y kN 16+X kN/m 40 E D 6 m 7 m 3 m 5 m 1m Figure QI
1. Cables AB and BC connect to a ring, which is held stationary as the load of P = 3 kN is applied to the ring. Find magnitude of the pin forces at A and C. 0 = 50°. B.
Draw the normal force, shear force and moment diagram of the structure AB=3m and BC=4m
4. I The gate shown in the figure below is a quarter circle and hinged at point H. Determine the horizontal force per unit width of the gate, P, required to hold the gate in place. Neglect the friction at the hinge and the weight of the gate. 6 ft Water Gate Hinge
For the shown cantilevered beam, use the method of sections to: (a) Find the reactions at support A and C (b) Find the equation for the shear force V for any location in the beam, and place the origin at point A. (c) Integrate the above shear function to obtain the moment equation 30 kN/m A 10 m- Hinge-B + 60 kN/m 5 m - C
Find: Horizontal reaction of support A. Horizontal reaction of support C. Reaction at point B.
900 N 2. Determine the internal normal force, shear force, and bending moment in the beam at points B and C. The support at A is a roller and D is pinned. B 3 ft 3 ft с 800 lb/ft 8 ft
A simply-supported beam is subjected to the forces and coupled moments. The dimensions of the beam and the values of the forces and couple moments are a 3.7m b=5.0m c-53m C-230 kN-m F = 20 KN w 24 kN/m Determine the support reactions at the left and rights supports. Determine the shearing force and bending moment at the following locations. Finally, determine the maximum bending moment and the location along the length of the beam where the maximum bending moment occurs. b Support Reactions Ru Right Ma a - Shear Forces and Bending Moments At ₁-1.7 m (from the left support) V₁- At #43 m (from the left support) VA Mas Ma At 2s 10.9 m (from the left support) VA" Maximum Sending Moment M atz- be sure to include units with your answers C W

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Write the shear and moment equations for the semi- circular arch shown in Figure below if (a) the load P is vertical as shown and (b) the load P acts horizontally to the left at the top of the arch. B R