A solid structure of rectangular cross-section is simply supported, as shown in Figure Q2. The structure is made from steel with Youngs Modulus of 200GPa and is loaded by a centrally applied force, F. Using Castigliano's theorem, for the system: a) Identify and label all reaction loads, b) State the expressions for the bending moments for each section with respect to the integration length coordinate, c) Calculate the vertical deflection at Point B. d) Briefly describe how you would solve the problem, if the structure was built-in at the left hand side and simply supported on the right hand side.

A solid structure of rectangular cross-section is simply supported, as shown in Figure Q2. The structure is made from steel with Youngs Modulus of 200GPa and is loaded by a centrally applied force, F. Using Castigliano's theorem, for the system: a) Identify and label all reaction loads, b) State the expressions for the bending moments for each section with respect to the integration length coordinate, c) Calculate the vertical deflection at Point B. d) Briefly describe how you would solve the problem, if the structure was built-in at the left hand side and simply supported on the right hand side.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The figure shows a cantilever of length L=4 m consisting of steel angles size of 100 x 100 x 12 mm mounted back to back. The cantilever is subjected to a point load P=3500 N acting at a=1.5 m and a distributed load w=1000 N-m-¹ NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Gr Find the deflection at B The deflection at Bis- a W mm. P B x B
please solve this example in short way.
A wooden beam is loaded by a concentrated load ? = 1000 N and supported by boundary conditions as shown in Figure Q5(a). The cross-section of the beam is shown in Figure Q5(b). Given that ??? = 1600 mm, ??? = 3400 mm, ?0=10 mm, ?1 = 20 mm, and ? = 230 mm, ℎ0=150 mm, ℎ1=40 mm, determine the following quantities below:
answer this; The factors of safety at point H predicted by the maximum-distortion-energy theory (von Mises criterion) can be calculated as
Label the nodes and the elements in the figure with appropriate node and element numbers. Compute the local stiffness matrix and load vector for each element Assemble the global stiffness matrix and load vector. State the boundary conditions, apply them, and solve the reduced system to obtain the DOF solution Compute reactions at the supports Evaluate the deflection occurring at the midpoint of the 2nd portion of the beam (point C).
find forces Cy, Ay, and Bx and By
20KN 2m 2m Example: (3B): Find the value of the force P to reduce the deflection of point c to the half ? 20(KNA) C B' P
Problem 1: (Please solve parts A and B of problem) A) A uniformly distributed load is subjected on the clamped-clamped beam and it is supported by a spring in the middle of the beam. Using Castigliano’s theorem, find the deflection in the spring. (Please use only Castigliano’s theorem to solve this part) B) Remove the spring in part A and use the Rayleigh-Ritz method to solve for the deflection at the middle of the beam. Assume that v(x) = C (1- Cos((2Pi*x)/L)) (Please use only Rayleigh-Ritz method for this part)
Determine the maximum deflection of a simply supported beam carrying a hydraulic cylinder in a machine used to press bushings into a casting as shown in the figure. The force exerted during the pressing operation in 45 kN. The beam is rectangular, 35 mm thick and 150 mm high, and made of steel (E = 207 Gpa).
3) For a torsional window-shade spring shown as figure, determine the maximum operating moment and corresponding angular deflection. Given: Thickness, h : Music Wire :1.625 mm • Mean coil diameter : 25 mm • Number of active coil : 350 Spring Material Wire diameter • Factor of safety :1.5
Please use sigularity function to estimate the maximum deflection at the point of applying load P
please explain part b a, Calculate the F and F reaction forces that act on the overhanging simple supported beam in the figure. b, Calculate the normal force (N(x)), shear force (7(x)) and bending moment (M₂ (x)) functions of the beam. (You have to write equilibrium equations for the different parts of the rod and then determine the N(x), T(x) and My(x) functions from the equations.) c, Draw the diagrams of the above functions. Data: F₁ = 10 N; F₂ = 15 N; f=5 N/m; a = 3 m; b=3 m; c=6 m. a b B