A cantilever beam is free of support at point A and is clamped at the point B, asshown in the Figure Q4 below. Calculate the support reaction force and momentfor the non-uniformly distributed load, where w =74 N/m and L = 6 m. Thedownward direction is denoted as positive direction in force and the anti-clockwise direction is defined as positve in moment.For all numerical answers, answer to within 3 decimal places.Av y-L-Figure Q4: A cantilever beam under non-uniformly distributed load AyFigure Q4: A cantilever beam under non-uniformly distributed load(a) The support reaction force at point B, be careful of the sign.RB(N)%3D(b) The support reaction moment at point B, be careful of the sign.M =(N*m)%3D

Answered: Image /qna-images/answer/2348f343-476a-408a-9132-d6dad911c635.jpg

A B. y Figure Q4: A cantilever beam under non-uniformly distributed load (a) The support reaction force at point B, be careful of the sign. (N) %3D (b) The support reaction moment at point B, be careful of the sign. %3D (N*m)

A B. y Figure Q4: A cantilever beam under non-uniformly distributed load (a) The support reaction force at point B, be careful of the sign. (N) %3D (b) The support reaction moment at point B, be careful of the sign. %3D (N*m)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Subject: calculate the external reaction at A and F for the truss 1oaded as Shown in Figure The…

Q: @ The beam is loaded by its self-weight with intensity q. The length of the beam is 11.2 ft. Let E=…

Q: 3. An open vat holding oil (s=0.80) is 8m long and 4m deep and has a trapezoidal cross -section 3m…

Q: 3. A beam is loaded and supported as shown in the figure. The beam has a constant value of EI.…

Q: A beam is loaded and supported as shown. Assume w = 6 kN/m and L = 5 m. (a) Use the…

Q: A water treatment plant treats 6000 m3 of water per day. As a part of the treatment process,…

A: Given : Discahrge (Q)=6000 m3/dayOver flow rate (O.F.R)=1.5 m/hrDepth (h)=3 m

Q: y | 1 A -X 25' 15⁰ 40° C F = 13 kips 15' B 11 .n

Q: Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical…

Q: The simply supported beam is subjected to the force F-550 N and the uniform distributed load with…

Q: A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E =…

Q: The beam shown in Figure 3 has an inclination of 30° from the horizontal axis and it is pinned at A…

A: A beam is inclined 30deg with horizontal and a load,P vertical to the beam is applied at 2 m from A…

Q: 1) a. Determine the location of the plastic centroid for the column shown.

A: Given Data:fc=40Mpa.fy=420Mpa.

Q: Problem 2-A concentrated couple, Mo = 600 Nm acts at the center of the simply Supported beam which…

Q: 24KN/m 12KN/m Зт A simply supported beam is loaded as shown in the figure. Assume El is constant.…

Q: - Determine the reactions at supports A and B.

Q: Could you explain how to get the reaction A and reaction at B it is in the given datat but assume it…

Q: Determine the normal strain EAB in wire AB.

A: Normal Strain is defined as the change in length divided by the original length. Thus, to determine…

Q: B.2. Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given…

Concept explainers

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

A cantilever beam is free of support at point A and is clamped at the point B, as
shown in the Figure Q4 below. Calculate the support reaction force and moment
for the non-uniformly distributed load, where w =74 N/m and L = 6 m. The
downward direction is denoted as positive direction in force and the anti-
clockwise direction is defined as positve in moment.
For all numerical answers, answer to within 3 decimal places.
A
v y
-L-
Figure Q4: A cantilever beam under non-uniformly distributed load

A
y
Figure Q4: A cantilever beam under non-uniformly distributed load
(a) The support reaction force at point B, be careful of the sign.
RB
(N)
%3D
(b) The support reaction moment at point B, be careful of the sign.
M =
(N*m)
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

Similar questions

9 Consider the plane truss with load Pas shown in the figure. Let the horizontal and vertical reactions at the joint B be Hg and V, respectively and Vc be vertical reaction at the joint C. 2 exhoM S SLO 60° - II B A 60° D L 60° F 60° KLA G P с Which one of the following sets gives the correct values of VB, HB and V? (a) VB = 0; HB = 0; Vc = P (b) VB P/2; HB = 0; Vc = P/2 (c) VB = P/2; HB = P (sin60°); Vc = P/2 (d) VB = P; HB = P (cos(60°); Vc = 0 [2016
A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 14100 ksi] rods, and a solid steel [E = 30100 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.8 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.49 in. Assume L1=31 in and L2=61 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P = 18 kips is applied.
Solve with Free body diagram
1. A Using E = 100 GPA. IN.A. = 1,500 x 10 mm², compute the SUPPORT REACTIONS of the loaded beam shown when: a. supports are unyielding. b. support at the midspan yields 4 mm. 4m 60 KN/m B 2m www 10 KN C D 2m
For the beam shown below, let wo = 16 N/m, W₁ dimensions are in m. 0 1 Wo ↓ = 10 N/m, and M = 16 N/m. All W₁ min 1 1 2 3 4 5 7 Figure 2 Loaded Cantilever Beam L 6 1 8 a. Find the reactions at A. b. Find the loading function q(x) using singularity functions. c. Find the shear and moment functions V(x) and M(x). M 9 m d. Determine and plot the shear diagram for the given loading conditions. e. Determine and plot the moment diagram.
Determine the horizontal and vertical deflections at D for the frame shown below (consider E, I constant and neglect axial deformation). P |2L A В C 4L
Determine the deflection 8g at the free end of a cantilever beam AB with a uniform load of intensity q=4 kN/m acting over the middle of the length and a point load. The lenghth of beam is equal to L=3 m. The beam has flexural rigidity El=4286311 Nm². Note that upward deflection is positive. P=qL/6 A +4 3 9 L 3 13 B ↑
The compound beam is subjected to a uniform dead load of 380 lb/ft and a uniform live load of 285 lb/ft. Assume B is a pin and C is a roller. Follow the sign convention. (Figure 1) Figure A 5 ft 00 B 5 ft D 5 ft C 1 of 1 Part A Determine the negative bending moment at A with the maximum magnitude. Express your answer using three significant figures. ΠΑΣΦ (MA)max(-) = Submit Part B (VD) max(+) Request Answer Determine the maximum positive shear at D. Express your answer using three significant figures. Submit = ΑΣΦ ↓↑ vec Request Answer vec ? ? k.ft lb
Beam AC with constant EI has a roller support at point B and slider support at point A as shown in the figure below. Using the conjugate beam method to determine the magnitude of the couple moment M0 in terms of P if the displacement at point C is zero. Hint: the slider support can be considered as a fixed support but can move freely in the vertical direction. Use these properties to find the corresponding conjugate support for this problem.
Problem 2: For the beam given below: (a) Calculate all support reactions. (b) Draw the shear diagram. Show all important values of shear. Show the sign convention within each region. (c) Draw the moment diagram. Show all important values of moment. Show the sign conventions within each region (concavity: smiley face, sad face, etc.) (d) Sketch the deflected shape. Show supports in your sketch. For your solution, let w = 2 kips/ft and L = 20 ft. A L 22 B L W C
There is a statically indeterminate beam in which the horizontal force at the left and right ends (points A and D) is zero, and the vertical force is shown in the figure below, The flexural stiffness of the beam section is constant El: (a) Find the (bending moment) reaction forces at points A and D.