(b) If the 6 kN load is now removed and a uniformly distributed load of 6 kN/m is applied over a length of 0.5m as shown in Fig.Q3(b), write an expression for the bending moment at a section X-X at distance x measured from the left-end to find slopes and deflections using Macaulay's method.

(b) If the 6 kN load is now removed and a uniformly distributed load of 6 kN/m is applied over a length of 0.5m as shown in Fig.Q3(b), write an expression for the bending moment at a section X-X at distance x measured from the left-end to find slopes and deflections using Macaulay's method.

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

Q: Consider

Q: A cantilever beam carries an uniform load w along its entire length, L. EI is constant. a) Calculate…

Q: The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200…

A: The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200…

Q: For the beam and loading shown, (a) Use discontinuity functions to write the expression for w(x).…

A: Given: A cantilever beam Required : (a) Use discontinuity functions to write the expression for…

Q: Y 2m M₁ = 5 KN-m 3m -X a.) For the beam and loading shown, determine the moment reaction at support…

Q: Vertical Reaction at C in kN. Moment Reaction at C in kN-m.

Q: A 4 m W B 2m C

A: An overhanging beam is given of length = 12m in which uniformly distributed load is acting. It has…

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

Q: Determine the member end moments and draw the bending moment diagram for the beam shown in Figure 2.…

Q: 1. For the beam that experiences bending, consider that: L = 8 m, a = 3.5 m, w_0 = 6kN/m M_0 = 5 kNm…

Q: ollowin Conjugate- Consider 250 mm x 250 mm section and E = 200 GPa. Show complete and organized…

Q: Q. 4 Determine the slope at the supports for the beam shown below. Also, determine the deflections…

A: Given data E = 29000 ksi I = 1000 in.4 Determine slope at the support and deflection at B & C.…

Q: For the beam and loading shown, (a) Use discontinuity functions to write the expression for w(x).…

A: For the beam and loading shown,(a) Use discontinuity functions to write the expression for w(x).…

Q: A 240mm diameter circular simply supported beam carries a concentrated load, uniformly distributed…

A: The question is based on the simply supported beam subjected to uniform, varying, and point load.…

Q: The simple portico in the figure consists of a rigid lintel of length L supported by two cylindrical…

A: Given simple portico consists of a rigid lintel of length L supported by two cylindrical pillars of…

Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

(b)
If the 6 kN load is now removed and a uniformly distributed load
of 6 kN/m is applied over a length of 0.5m as shown in Fig.Q3(b), write
an expression for the bending moment at a section X-X at distance x
measured from the left-end to find slopes and deflections using
Macaulay's method.
A
1m
By
4 kN
1.5m
2 kNm
1.5m
Fig. Q3(b)
6 kN/m
D
E
10.5m/0.5m

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: Given data

VIEW

Step 2: Reactions

VIEW

Step 3: Macaulay's method

VIEW

Step 4: Expression of slope & deflection

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 9 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

For the beam below (EI constant) use the SLOPE DEFLECTION METHOD to answer the following questions. a) How many unconstrained degrees of freedom (DOF) are present in this problem? What are they? b) Calculate the fixed end moments? What is the purpose of a fixed end moments? c) Write the end moment equations in terms of the unconstrained DOF(s). Apply equilibrium to solve for the unconstrained DOF(s). Determine the end moments at A, B and C.
I need the answer as soon as possible
Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kN
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.
A simply supported beam is subject to a downwards uniform distributed load, w, as shown below. B A uniform distributed load, w L1 L2 The cross-section of the beam is constant with second moment of area I = 3750 mm², and Young's elastic modulus is E = 200 GPa. The distributed load has magnitude w = 220 N/m. If Point B is distance L₁ (Point C), calculate: the downwards vertical deflection at Point B: C C 435 mm from the left end (Point A) and distance L2 = 385 mm from the right end Round your answer to 3 significant figures. X [Units: mm]
Determine the internal moments at the supports of the beam shown using: 1.) ThreeMoment equation 2.) Moment Distribution Method 3.) Slope-Deflection Method Pick two method only Given: E=200GPa I=20x10^6 mm^4 w=8kN/m L1=10m L2=8m