10.29. The symmetrical frame shown in Fig. P10.29 supports a uniform loading of p per unit length. Assume that each horizontal and vertical member has the modulus of rigidity E₁I₁ and E₂12, respectively. Determine the resultant reaction R4 at the left support, employing Castigliano's theorem. Figure P10.29. L₂

10.29. The symmetrical frame shown in Fig. P10.29 supports a uniform loading of p per unit length. Assume that each horizontal and vertical member has the modulus of rigidity E₁I₁ and E₂12, respectively. Determine the resultant reaction R4 at the left support, employing Castigliano's theorem. Figure P10.29. L₂

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 pin-jointed plane truss shown in Figure Q1 is supported by a roller at point A and pinned at point G. Vertical point loads of 5 kN are acting downward at points B, C and D. As a structural engineer, you are responsible to check the stability and analyse all of the members in the truss. Q1 (a) By using the appropriate method, check and elaborate the stability of the pin-jointed plane truss (b) Determine all reactions at the supports (c) Determine the internal force of each member by using an appropriate method (d) Elaborate the stability of the plane truss if both supports at point A and G are supported by roller
A pin-jointed plane truss shown in Figure Q1 is supported by a roller at point A and pinned at point G. Vertical point loads of 5 kN are acting downward at points B, C and D. As a structural engineer, you are responsible to check the stability and analyse all of the members in the truss. Q1 By using the appropriate method, check and elaborate the stability of the pin-jointed plane truss (a) (b) Determine all reactions at the supports
Determine the support reactions for the following loaded beam as shown in figure.
Figure P24.25a shows a uniform beam subject to a linearly increasing distributed load. The equation for the re- sulting elastic curve is (see Fig. P24.25b) EI dx Note that the analytical solution for the resulting elastic curve is (see Fig. P24.25b) Wo(-x +24x -L*x) 120 EIL Use bvp4c to solve for the differential equation for the elastic curve for L 600 cm, E 50.000 kN/cm2, I 30,000 cm, and w 2.5 kN/cm. Then, plot both the numerical (points) and the analytical (lines) solutions on the same graph.
Q.2/The rigid beam shown in Figure 2 is supported by a pin at A and wires BD and CE. If the load P on the beam causes the end C to be displaced 10 mm downward, determine the normal strain developed in wires CE and BD. D 4 m P 2 2 m Figure 2 Rigid beam with wires and load
Calculate the reactions at the supports of the beams shown in FigureQ1a and Figure Q1b. Your analysis should include a well-drawn freebody diagram and clear working must be shown. x = 18 y = 14 θ = 8
QUESTION 1 METHOD OF CONSISTENT DEFORMATION. For the frame shown below, determine the reactions at the supports (MA Ax Ay Cy) using Method of Consistent Deformation. El is constant. 500 lb/ft В 3 k A 10 ft 10 ft C
The Fiver forces shown in Fig-314 are in equilibrium. Compute the values of P and F
In Fig. 3, support A is fixed while support B is roller. Use consistent deformation method to find the reaction at roller B. 10 kN/m Fig. 3 AMOR Sotong 12 m I E = constant 100 kN 6 m 21
The fixed-end beam is subjected to a concentrated moment "M" at midspan as shown in Fig.1. Use the method of consistent deformations to determine the reaction components and draw the shear force and bending moment diagrams for the beam (constant EI).
Problem 3: For the beam shown in Figure 3. A. Find the reaction at support B (RB) B. Find the reaction at support D (Rp) 4 kN/m 10KN 10 kN E B 4 m D 2 m 2 m 4 m Figure 3
For the frame and loadings shown P=270 KN, and F=540 240 mm 240 mm A В 160 mm F 240 mm D magnitude of horizontal reaction at E magnitude of vertical reaction at A magnitude of vertical reaction at E magnitude of vertical reaction at C magnitude of horizontal reaction at C