Derive the equation for the elastic curve that is valid for 0 ≤ x < aL. Take a to be 2/5. This is a symbolic answer and you may take EI to be constant. NOTE: The slope at A is - A v(x) = -X-> -aL- P 8 PL² 125 EI (cc) BY NO SA 2022 Cathy Zupke -(1-a)L- B

Q: If the horizontal displacements of nodes 2 and 3 of the following element are q2=0.1 mm and q3=-0.05…

A: Given displacement of node 2 and 3.  Required: Horizontal displacement of point P. (d)

Q: The basic differential equation of the elastic curve for a simply supported, uniformly loaded beam…

A: Differential equation is:where:

Q: The strut on the utility pole supports the cable having a weight of P = 300 lb. (Figure 1) Figure…

A: Given:The weight is .Free body diagram:     The triangle is obtained by multiplying by 2 for…

Q: Determine the slope at the free end A of the cantilever shown using 'Castigliano'. Ignore shear…

A:

Q: f, acts at a distance of 21 from 0, distance of [9+ 4/3] fram o F₂ acts at a → [9+%] - 12ft. _aft →↓…

A:

Q: If the horizontal displacements of nodes 2 and 3 of the following element are q2=0.18 mm and…

A: Given displacement of nodes 2 and 3.  Required: horizontal displacement of point P (d)

Q: peR) = F( 3*-37ti) 1. Write down the governing equation 2. State the boundary conditions 3. Solve…

A:

Q: Using singularity functions, develop an expression for the bending moment M(x) as function of…

A: over hanging beam  as shown below

Q: Skips 4¹ -w=3 kips/ft 3 8¹ с 10 Find the reactions. by using singularity function. 0

A: Drive the shear force and bending moment equation using singularity function and then find the…

Q: Part C-Maximum deflection What is the maximum deflection of the beam? Express your answer in terms…

A: For the solution refer below images.

Q: A loading condition of a beam with parabolic shape is shown below. Using Castigliano's theorem…

A: Consider the diagram shown below with the given variables and reactions as shown below, Here, the…

Q: 0.0062 0.0025 0.0012 Let D = 0.0025 0.0049 0.0025 be a flexibility matrix, with flexibility measured…

A: The given system of equations can be written in matrix form as, D×y = f therefore,  y = D-1 ×f here,…

Q: A cantilever beam (Fig. 1) has its left end fixed into a wall, and free end on the right. The…

A:

Q: 29.11 KN /m -(x 4.5m A x Ma 2.12 m Ay ↑ 一 29.97 kN/m

A: Shear force at any section is found by the summation of all the shear force on either left or right…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: Drae FBD

Q: -Draw the shear and bending moment diagrams for segment BDE of the structure. C 0.4 0.4 YAD B 0.3…

A: Draw the shear and bending moment diagrams for segment BDE of the structure.

Q: I need help with the formula to fill out the table. All information is in the table.

A: DefinitionBending moment:The bending moment is the measure of the bending effect that happens when…

Q: A 0.5kg weight is hung from the end of a cantilever beam, causing a vertical displacement of y =…

A: Given data m1= 0.5 kg   δ1= -0.01 inches m2= 1 kg δ2 =?

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.