




Deduce the FBD, SFD, BMD and deflection equations for the given problems. EI,L k El /...
Draw the BMD and SFD for the following problems. 6 KN 6 KN 12 kN.m 12 kN.m LB 2 m 2m-2m- W = 8kN W = 8kN L = 3mL = 3m = 3m L = 6m 500 lb 200 lb 300 lb B 8f- 8f- +
Structural Analysis: Homewo Problem 3.2-10: For the given structures with a constant El and loadings; a) Draw SFD and BMD b) Determine the equation of the elastic curve, y(x) using the integration method c) Determine the slope angle and deflection shown on the right Problem 3.9 60 kN-m Internal hinge Left and right side of Op and Δ 3 m 3 m 3 m Problem 3.10: 10 k 0p and Ac Internal hinge 10 ft 10 ft 10 ft
Given W = 100T/m, L=24m, EI = constant
Using the slope deflection method:
1. Find the Fixed End Moments
2. Write the Slope Deflection and equilibrium Equations
3. Solve for Joint Rotations/Deflections
4. Find Moments at A, left of B, right of B
5. Draw Qualitatively the Deflected Shape
24 (m) 12 (m)
24 (m) 12 (m)
For Problems 8.31 through 8.38 use the double integration method to solve for the deflection equations in terms of the coordinate systerm shown P8.36 EI Problem 8.36
GIven W = 100T/m, L=24m, EI = constant
Using the slope deflection method:
1. Find the Fixed End Moments
2. Write the Slope Deflection and equilibrium Equations
3. Solve for Joint Rotations/Deflections
4. Find Moments at A, left of B, right of B
5. Draw Qualitatively the Deflected Shape
q,= 980 24 (m) 12 (m)
q,= 980 24 (m) 12 (m)
need detailed process and pretty handwriting
for all problems is constant. The flexural rigidity EI following equations: Elv" M, Elv", EI l. (25% For Problems 1 ans 2, start from one of the ) Determine the equation of the deflection curve for the beam AB carrying a concentrated load P as shown in Fig. 1 2. tite L/4 3L/4 Fig. 1 of
Given the equation for deflection of a beam: v(x): (1/(Ei)) (-630 x' + 41 x3_x') and noticing the beam length is 10 m, x is in meters and is meas El is constant, ured from the left end of the beam an (a) derive the equation for rotation (2 points) (b) derive the equation for bending moment (2 points) (c) derive the equation for shear (2 points) (d) derive the equation describing the loadd2 points) (e) draw a figure and...
Using equation 3 please find the deflection value with the
variables given. Be careful with units please.
P= 10.07 Newtons
L= 953.35 mm
x= 868.363 mm
E= 72.4 GPa
Iy= 5926.62 mm^4
The maximum deflection, WMAX of the cantilever beam occurs at the free end. The magnitude of the deflection may be derived by solving the differential equation: d'w M,(x) P (L-x) eq. 1 dr EI EI where E and Iy are the modulus of elasticity and moment of inertia...
The deflection y, in a simple supported beam with a uniform load q and a tensile load T is given by dx2 El 2EI Where x location along the beam, in meter T-Applied Tension E-Young's Modulus of elasticity of the beam 1= Second moment of inertia of the beam Applied uniform loading (N/m), L- length of the beam in meter Given that T-32 kN, q = 945.7 kN/m, L = 2.0 meter, E = 206 GPa and 1 4.99 x...
PROBLEM 1: Given the overhang beam shown below and subjected to a downward force equal to 20 kN at B. The stiffiess of the beam is El 10 kN-m2 and that of the spring is k (note: F-kA). Determine the value of k such that the deflection at point D due to the 20 kN load is zero. 20 kN 4 m 4 m
PROBLEM 1: Given the overhang beam shown below and subjected to a downward force equal to...