Question 5 (5 marks) A beam AB is subjected to the distributed and concentrated loads as shown in the diagram below. 12 kN 9 kN/m A B 1.5 m 1.5 m 1.5 m 1.5 m a. Replace the uniform load distribution of 9 kN/m by its equivalent resultant force and determine the distance of its location from point A. [1] b. Draw the free body diagram for the beam showing all the forces acting on the beam with uniform load distribution replaced in the diagram by its equivalent resultant force. [1] c. Use the conditions for equilibrium to determine the horizontal and vertical components of the reaction forces at the pin A and at the roller B. [3]
Added by Lauren J.
Close
Step 1
- The equivalent resultant force is equal to the load per meter multiplied by the distance, which is 9 kN/m * 3 m = 27 kN. - The distance of its location from point A is half of the total length, which is 1.5 m. Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 81 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The figure B1 shows a horizontal beam with a length of 9m. It is roller supported at A and pin supported at F. The beam carries a point load of 19kN inclined at 45° to the beam at B, a vertical point load of 12.5 kN at E, and a uniformly distributed load of 1.5 kN/m between C and D. Ignoring the weight of the beam itself, calculate: a) The vertical and horizontal components of the 19kN force acting at B. b) The horizontal reaction force acting at F. c) The vertical reaction force acting at A. d) The vertical reaction force acting at F. e) The magnitude and direction of the resultant force experienced at F.
Amit S.
(b) A si m p l y s u p p o r t e d b e a m A B i s s h o w n i n F i g u r e Q 2 b . A p o i n t l o a d o f 8 k N i s a p p l i e d v e r t i c a l l y d o w n w a r d a t 2 m f r o m t h e l e f t e n d A . A d i s t r i b u t e d v e r t i c a l l o a d o f 3 k N / m a c t s a l o n g t h e w h o l e s p a n o f t h e b e a m . ( i ) D e t e r m i n e t h e v e r t i c a l r e a c t i o n f o r c e s a t s u p p o r t s A a n d B . ( 4 ) ( i i ) D r a w t h e S h e a r F o r c e d i a g r a m . ( 4 ) ( i i i ) D r a w t h e B e n d i n g M o m e n t d i a g r a m . ( 4 )
Adi S.
The beam $A B$ is subjected to the uniformly distributed load shown and to two unknown forces $P$ and $Q$. Knowing that it has been experimentally determined that the bending moment is $+800 \mathrm{N} \cdot \mathrm{m}$ at $D$ and $+1300 \mathrm{N} \cdot \mathrm{m}$ at $E,(a)$ determine $P$ and $Q,(b)$ draw the shear and bending-moment diagrams for the beam.
Internal Forces and Moments
Relations Among Load, Shear, and Bending Moment
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
