Answered: 8 kip B - 5 ft- 10 ft 5 ft

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

Related questions

Concept explainers

Question

Determine the displacement of point C of the beam made from A992 steel and having a moment of inertia of I = 53.8 in4.

Expert Solution

Step 1

Given data as per question

Force applied at end = 8 kips

moment of inertia of I = 53.8 in⁴

$\begin{array}{l} \sum F_{y} = 0 \\ R_{A} = R_{B} + 8 \\ \sum M_{B} = 0 \\ 8 \times 15 = R_{A} \times 10 \\ R_{A} = 12 k i p \\ R_{B} = 4 k i p \\ N o w \\ M_{x} = - 8 x + 12 (x - 5) - 4 (x - 15) \\ E I \frac{d^{2} y}{d x^{2}} = M x \\ E I . (\frac{d y}{d x}) = \frac{- 8 x^{2}}{2} + \frac{12 {(x - 5)}^{2}}{2} - \frac{4 {(x - 15)}^{2}}{2} + c_{1} \\ E I (y) = \frac{- 8 x^{2}}{6} + \frac{6 {(x - 5)}^{3}}{3} - 2 \frac{{(x - 15)}^{3}}{3} + c_{1} + c_{2} \end{array}$

Step by step

Solved in 2 steps

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions