1. Find the equation of internal bending moment as a function of x. Given: w= 2, EI= 100, L= 12 (all consistent units). Also, equation should be in the form of M = cx^2 +bx + a. 2. Use double integration to find the equation of transverse displacement in terms of x. Note: equation should be in the form of y = Ex^4 + Dx^3 + Cx^2 + Bx + A

Q: Draw the approximate deflected shape from the bending moment diagram. Develop the piecewise…

A:

Q: The basic differential equation of the elastic curve for a cantilever beam is given by the following…

A: Given the following parameters: L = 120 inches E = 30,000 ksi I = 800 in4 P = 1 kip Initial…

Q: Problem 3 The beam shown below is subjected to the loads shown in the figure. Use the moment-area…

A: EI = ConstantDetermine the displacement at point C using moment-area method.

Q: Problem 2. Use virtual work method and determine the following unknowns on the truss system shown…

A:

Q: y F = 5.1 kN 4 10 + |

A: Force, F =5.1 kN Slope, tanθ=410 sinθ=442+102=410.77cosθ=1042+102=1010.77

Q: 8) For the following beam, use the double integration method to find BB, and AB. Assume 1/El changes…

A: Flexural rigidity EIB = 1800000k-in2  Flexural rigidity EIA = 1800000 k-in2

Q: Loads V = 30 kN and H = 34 kN are applied at D on the frame in the figure below. All member…

A:

Q: 1. Draw the deflection diagram for the following figure 2. Use the double integration method to…

A: “Since you have asked solution with multiple method, we are solving with the double integration…

Q: Use virtual work method and determine the following unknowns on the truss system shown  below. Use A…

A: Given, A=500 mm2E=200 GPa a= 42 kN b=4 m c= 9 m

Q: 10 kips 3 kips/ft D B. 3 ft 4 ft 3 ft

A:

Q: 4. The beam shown in the figure is a cantilever beam supported at the left end by a fixed support…

A: ∑Fy  = 0 ;        Ay - 16 x 2 -6 +20 =0         Ay = 18 KN        ∑Fx = 0 ;        Ax = 0 .…

Q: Calculate the vertical defle support at point E using the vertical deflection, use exp using the…

A:

Q: Develop the generalized piecewise equation for the elastic curve for the beam as a function of x…

A: We will have to develop a  generalized piecewise equation that should be in terms of P, x, and L…

Q: 2. A simply supported beam of length L carries a point load P in the downward direction at its…

A: To find the deflection at the mid point. Using 4th order differential equation Virtual work method…

Q: The resultant of the two forces shown lies on the positive y-axis. Find coordinate direction angles…

A:

Q: Solve the following problems. 1. Using double integration method, for the overhanging beam shown,…

A: Force inthe vertical y-axisRA + RB = 1000 + 400×3⇒RA + RB = 2200 lb       ......1Sum of the moment…

Q: Using the virtual work method, calculate the vertical displacement at A. Solve with the step chapter…

A: Given Data E = 200 GPa = 200 × 103 N/mm2  A = 20 cm2 = 2000 mm2  Determine the vertical…

Q: 70 kN "a" kN 50 kN “a" kN "c" m A E B C D 4 at “b" m

A:

Q: Problem 2 Determine the directions of the principal axes with origin located at point O, and the…

A: Data given a = 4cmb= 2cmc= 2cmd= 2cmr= 1cmorigin located at point O.

Q: A symmetrical beam of length I has a cantilever support at the left hand end x = 0 and a pin support…

A:

Q: The simply supported beam is subjected to the force F = 680 N and the uniform distributed load with…

A: step 1-

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.