Active forum topics
- Inverse Trigo
- General Solution of $y' = x \, \ln x$
- engineering economics: construct the cash flow diagram
- Eliminate the Arbitrary Constants
- Law of cosines
- Maxima and minima (trapezoidal gutter)
- Special products and factoring
- Integration of 4x^2/csc^3x√sinxcosx dx
- application of minima and maxima
- Sight Distance of Vertical Parabolic Curve
New forum topics
- Inverse Trigo
- General Solution of $y' = x \, \ln x$
- engineering economics: construct the cash flow diagram
- Integration of 4x^2/csc^3x√sinxcosx dx
- Maxima and minima (trapezoidal gutter)
- Special products and factoring
- Newton's Law of Cooling
- Law of cosines
- Can you help me po to solve this?
- Eliminate the Arbitrary Constants
Recent comments
- Yes.1 month 1 week ago
- Sir what if we want to find…1 month 1 week ago
- Hello po! Question lang po…1 month 3 weeks ago
- 400000=120[14π(D2−10000)]
(…2 months 4 weeks ago - Use integration by parts for…3 months 3 weeks ago
- need answer3 months 3 weeks ago
- Yes you are absolutely right…3 months 4 weeks ago
- I think what is ask is the…3 months 4 weeks ago
- $\cos \theta = \dfrac{2}{…4 months ago
- Why did you use (1/SQ root 5…4 months ago
Isolate the segments to the
Isolate the segments to the left of B and to the right of B, then solve for the reactions.
$M_A = -256.67 ~ \text{kN}\cdot\text{m}$
$R_A = 131.67 ~ \text{kN}$
$R_B = 21.67 ~ \text{kN}$
$R_D = 88.33 ~ \text{kN}$
Draw then the moment diagram by parts for each segment. Look for the best location of moment center for your diagram. I chose B for segment AB and C for segment BE. You may choose another point per your judgement.
Notice that the value of moments under segments containing 2EI are divided by 2.
Draw the approximate elastic curve (not shown) and based on your drawing proceed with the concepts of area moment method to solve for the required. I will show here the calculations for the deflection at B knowing that the tangent to the elastic curve at A is horizontal.
$\delta_B = \dfrac{1}{EI} \, t_{B/A}$
$\delta_B = \dfrac{1}{EI}\left( \text{Area}_{AB} \right) \cdot \bar{X_B}$
From the Moment Diagram by Parts
$\delta_B = \dfrac{1}{EI} \Big[ \frac{1}{2}(2)(131.67)\left( \frac{2}{3} \right) - 128.33(2)(1) - \frac{1}{4}(2)(3.33)\left( \frac{2}{5} \right) \Big]$
$\delta_B = -\dfrac{169.56}{EI} ~ \text{kN}\cdot\text{m}^3$
The negative sign in the answer indicates that B is below the tangent line through A which is our reference tangent for the deviation.
In the same way, analyze the tangents and the elastic curve to get the rest of the required items.
I request you share to us your solution when you're done.