A three-hinged parabolic arch of constant cross section is subjected to a uniformly distributed load over a part of its span and a concentrated load of 50kN, as shown in the figure. Determine the reaction forces, maximum bending moment at segment AC, bending moment at point D and maximum bending moment at segment CB. *Hint: to derive the equation for bending moment at segment CB. Take a summation of moment from the left to any point on that segment. RAx- y 5m Ray 50kN 1 D 3m PR 10kN/m 10m 15m 2 ·y=0.03 x² +0.6x 3.75m Rex RBY

A three-hinged parabolic arch of constant cross section is subjected to a uniformly distributed load over a part of its span and a concentrated load of 50kN, as shown in the figure. Determine the reaction forces, maximum bending moment at segment AC, bending moment at point D and maximum bending moment at segment CB. *Hint: to derive the equation for bending moment at segment CB. Take a summation of moment from the left to any point on that segment. RAx- y 5m Ray 50kN 1 D 3m PR 10kN/m 10m 15m 2 ·y=0.03 x² +0.6x 3.75m Rex RBY

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A beam is subjected to force as shown in the figure below. Try to analyze the reaction force of the beam at point A and point C. Assuming that the EI of the entire beam section is constant, try to draw the shear curve and bending moment diagram of the beam. (Moment Curve).
Consider the frame shown. Suppose that w = 16 kN/m. a) Determine (approximately) the moment the ground exerts on the frame at joint A. Hint 1 for Part A. How to approach the problem Analyze the frame using approximate methods for statically indeterminate structures with vertical loads. Apply the required assumptions regarding zero moment points in order to reduce the frame to the one that is statically determinate. Then, use the equations of equilibrium to determine the moment exerted on the frame at joint A. Hint 2 for Part A. What assumptions should be made to solve the problem Since the girder located within a building bent and subjected to a uniform vertical load is statically indeterminate to the third degree, an approximate analysis will therefore require three assumptions to make the girder statically determinate. Each girder having the length L may be modeled by a simply supported span of length 0.8L resting on two cantilevered ends, each having a length of 0.1L.…
The beam carries various loadings as shown in the figure. An internal hinge is located at C. Calculate the maximum shearing force and maximum bending moment. What is the resultant reaction force and bending moment at support D? Draw the complete shear and moment diagrams on your solution paper
Q1: The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P = 400 kN and P2 = 360 kN acting at points A and D, respectively (see figure). Bars BE and CF are made of steel (E = 200 GPa) and have cross-sectional areas ABE = 11,100 mm² and Acp = 9,280 mm². The distances between various points on the bars are shown in the figure. Determine the vertical displacements &, and ôp of points A and D, respectively. E1.5m 1.5 m 2.1 m – A P = 400 kN 2.4 m P2 = 360 kN F 0.6 m|
PROBLEM 1: The beam shown below has a fixed support at A and a roller at B. El is constant. Use the FORCE METHOD to: a. Find all reactions (clearly show the value and direction of each reaction at each support) b. Draw the Shear (V) and Moment (M) diagrams (clearly show the peak values, signs, and location) 4 kip/ft A 8 ft B *
A wide-flange beam with an unbalancedcross section has the dimensions shown in the figure.Determine the plastic moment MP if σY = 36 ksi.
STRUCTURAL ANALYSIS II
Q1. The three concurrent forces acting on the screw eye produce a resultant force FR = 0. If F2= 0.8 F, and F, is to be 90° from F, as shown. Determine the required magnitude of F3 expressed in terms of F, and the angle 0. F1 60 F: F3 Q2. Determine the magnitude of the resultant forces at A.
really really need asap
1. The magnitude of the bending moment acting on the circular cross section of a beam is M = 30 000 Ib - ft. Calculate the bending stresses at the following points on the cross section: (a) A; (b) B; and (c) D. 60°- B. 6 in. 8 in.
Question 3 A compound beam is connected by a pin at B, and a pin in a slot at C, and loaded as shown. Couple moment M = 500 N.m, force F= 2500 N, the triangular distributed load has a peak intensity w = 1200 N/m. Force F acts at an angle 0 = 60°, while the beam dimensions are such that a= 1.0 m, b = 0.5 m, c = 1.0 m, d= 1.5 m, e = 1.0 m, f= 2.0 m, and g= 1.0 m. M while E D Determine: a) the horizontal and vertical components of the pin reactions at B and C, and b) the normal force, shear force, and bending moment acting at point F of the beam.
SOLVE THE PROBLEM USING DOUBLE INTEGRATION METHOD Problem I. The beam has a loose fit built-in support at B which allows the end of the beam to rotate through the angle 0₁ = 0.75° when the load is applied, as shown in the detail. E = 72 GPa and 1 = 120 x 10 mm². Determine the following: a. Reaction at A (KN) 200 kN -2 m- b. Moment at B (kN m) c. Slope at A in radians d. Displacement at the application of 200kN load Detail 2 m B