2 ### Beam Support Reaction Calculation#### Problem Statement:The beam is supported by a pin at A and a roller at B, and it supports a triangular distributed load and a point load. Determine the support reaction at B. Support your answer with an appropriate Free Body Diagram (FBD) and equilibrium equation(s).#### Diagram:The beam is detailed as follows:- A point load of 10 kN is applied at the center of the beam.- A triangular distributed load with a peak value of 10 kN/m is applied across the length of the beam.- The length of the beam is 6 meters, with the beam segmented into 3 meters on either side of the central node where the point load is applied.- Support A is a pin support allowing rotational but not translational movement.- Support B is a roller support allowing horizontal translational but not vertical movement.#### Diagram Analysis:The diagram shows the following:- A skier-shaped distributed load is represented from point A to point B, peaking at the center.- The uniformly distributed load is symmetrical about the center of the beam.- The specific supports are clearly marked - A being a pin support and B being a roller support.#### Choices:- 35 kN- 20 kN- 15 kN- 10 kN- None of the aboveSelect the correct support reaction at B based on calculations.#### Free Body Diagram (FBD) and Equilibrium Equations:1. **Calculate the resultant of the triangular load:** - Resultant load (R) of the triangular distributed load = \(\frac{1}{2} \times \text{Base length of distribution} \times \text{Height of triangle} \Rightarrow \frac{1}{2} \times 6 \text{ m} \times 10 \text{ kN/m} = 30 \text{ kN}\) - Location of the resultant load from point A = \(\frac{\text{Length}}{3} = \frac{6}{3} = 2 \text{ m from A}\)2. **Equilibrium Equations:** - Sum of vertical forces (\( \Sigma F_y = 0 \)): \[ R_A + R_B - 10 - 30 = 0 \] \[ R_A + R_B = 40 \text{ k

Here we will apply the equilibrium conditions by taking the moment and drawing the free body diagram…

The beam is supported by a pin at A and roller at B and supports a triangular distributed load and a point load. Determine the support reaction at B. Support your answer with an appropriate FBD and equilibrium equation(s). 10 kN

The beam is supported by a pin at A and roller at B and supports a triangular distributed load and a point load. Determine the support reaction at B. Support your answer with an appropriate FBD and equilibrium equation(s). 10 kN

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

Similar questions

c) Sketch the stress distribution in the section X-X
5. F = x²i+ czjyk If the force is conservative, the value of the constant c is A. -2 B. 3 C. -5 D. -1 E. 8 F. 2 G. -6 H. None of the above O A B O C O D OE OF G О н
Buppose that A-00 KN. (Foure 1) Figure -20AN 10 1 of 1 Part A Determine the magnitude of the resultant force Express your answer to three significant figures and include the appropriate units. Pw- Bubmit Y Part B Value ()- Request Answer A Determine the direction of the resultant force, measured counterclockwise from the positive axi Express your answer using three significant figures. VAX i vec Pearson Units
ذني السؤالين اريد جوابهن ممكن
slove f
Q3/ For the plate shown in figure below find * (a) ΣΑ YA 7 8 5 إجابتك
Q.3) Determine Ixx and lyy for the composite section shown below. 50 mm 25 mm 30 mm 25 mm 50 mm 50 mm
1 The 45° strain rosette is mounted on a surface of the bracket as shown in Figure Ql. The bracket is made from steel with Eseel = 120 GPa and poison ratio, v = 0.28. The following readings are obtained for each gauge under loadings: Ea=[X+Y] (10*) Es = -200(10-6) E= -180(106) Important note : X=100 Y=60 (a) Prove that &=Ea and &= E,. (b) Determine the shear strain, y and the normal strain, &, and E,. (c) Estimate the in-plane principal strains and the angle associated with the principal strains, and
D= 1.75 in d= 0.75 in r= .120 in
A4C) Concurrent forces .. O a. act on the same line. O b. None of the these O C. act on the same plane O d. pass through same point. a DI
8 the ban
Part I. Shorter problems focused on the fundamentals a. For the image at the right, the coordinate angles are a = 57°, ẞ= 121°, y=49°, and the point along a-a is (15,-6,3). What is the angle between lines a-a and b-b? Z b-b B LL F a (x,y,z) a-a Y b. If the magnitude of the force, F-3121bf, what is the magnitude projected along the a-a axis? y