A restrained beam is subjected to a loading distribution shown below. Determine: a. the location of the maximum deflection, b. the maximum deflection, c. the reactions at fixed supports, and d. the maximum wo that can be applied if the maximum allowable deflection is L/360.

A restrained beam is subjected to a loading distribution shown below. Determine: a. the location of the maximum deflection, b. the maximum deflection, c. the reactions at fixed supports, and d. the maximum wo that can be applied if the maximum allowable deflection is L/360.

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: A beam is subjected to equal bending moments of M, = 310Ö N-m. The =35 mm, d = 70 mm, and t=7 mm.…

A: A beam is subjected to a equal Bending moment which values is given in the question. The cross…

Q: Column Theory 70mm 3mm. 40mm. The shape is made from timber with a young modulus of 205 000 N/mm².…

A: L = 2.85 m E = 205000 N/mm2 Since connection is bolted, it may be fixed or pinned depending upon…

Q: The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E = 200 GPa;…

Q: The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1690…

Q: e cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1800…

A: To find deflection at point A and B

Q: The simply supported beam consists of a W460 × 82 structural steel wide-flange shape [E = 200 GPa; I…

Q: If the beam is subjeded to a shear Compute the maximum shor stress b- Compute the shear stress 40 mm…

A: I = 200310312-170250312I = 275.16×106 mm4V = 40 kNQ = VAy¯Ib, whereV = Shear ForceA = Area above the…

Q: A T-section having a cross section shown has a span of 3.6 m. The location of the neutral axis is…

Q: A beam is subjected to equal bending moments of M, = 4100 N-m. The cross-sectional dimensions are b=…

A: NOTE : Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: a) From the system shown in the figure, obtain the forces exerted on each bar AB, AD, BD, BC and CD.…

A: From the system shown in the figure, obtain the forces exerted on each bar AB, AD, BD, BC and CD.…

Q: The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E = 200 GPa; I…

Q: A beam is subjected to equal bending moments of M2 = 3800 N-m. The cross-sectional dimensions are b…

A: Given Data :

Q: m, and t = 4 mm. Determine: o the centroid location (measured with respect to the bottom of the…

Q: A beam is subjected to equal bending moments of M, = 3600 N-m. The cross-sectional dimensions are…

A: A beam is there in the question which is subjected to equal bending moment which is provided in the…

Q: The 540-kg uniform beam is subjected to the three external loads show to the right, up, and…

Q: 9.3-23 The beam shown in the figure has a support at A and a roller support at B. The support…

A: Draw FBD:Calculate Bending moment equation:

Q: The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E = 200 GPa; I…

Q: Do Question 1, establish the slope and deflection equation of the given beam below considering…

Q: 1. For the beam and loading shown and knowing that the distributed load w can be expressed as a…

A: A cantilever beam is loaded with a parabolic loading, w = kx2, and the span of the beam is 18ft,…

Q: A beam is subjected to equal bending moments of M, = 3700 N-m. The cross-sectional dimensions are b…

A: M = 3700 N.m = 3700 x 103 N.mm

Q: II. Solve the first problem but take a=3m and b=4m. Sketch the loading that acts along members BE…

A: Given, Thickness of slab = 200 mm or 0.2 m a = 3 m b = 4m

Q: A beam is subjected to equal bending moments of M, = 420O N-m. The cross-sectional dimensions are b…

Q: A fixed-end beam is subjected to a point load at mid-span. The beam has a rectangular cross section…

A: We know that deflection for fixed beam is given by ; δmax =PL3192 EI But I = bh312 Substituting we…

Q: A beam is subjected to equal bending moments of M, - 3600 N-m. The cross-sectional dimensions are b-…

Q: I need help with this exercise from my homework. I have no idea about how to solve it. I need an…

A: Step 1: Step 2: Step 3: Step 4:

Q: The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; / = 1750…

Q: a) the centroid location (measured with respect to the bottom of the cross-section), the moment of…

Q: 5) For the truss below, compute the horizontal deflection of point C using virtual work under the…

A: A truss could be a structure in engineering that "consists of two-force members only, with the…

Q: A composite axial structure consists of two rods joined at flange B. Rods (1) and (2) are attached…

A: We have to determine the internal forces and stresses in each rod. Indicate T or C. Also, determine…

Q: Consider the beam and loading with M= 12 kN/m shown in the figure. Vertex M A Parabola 8 m- B…

Q: The beam with, cross-section shown, is subjected to the load shown. Using E-200 GPa, determine a.…

Q: Question 6 The reinforced concrete beam shown in Figure 6 is encastré at both ends. It supports a…

A: Calculation of vertical reactions

Q: mm, and t = 8 mm. Determine: (a) the centroid location (measured with respect to the bottom of the…

Q: The steel beam has the cross section shown. The beam length is L = 4.2 m, and the cross-sectional…

Q: The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1960…

Q: The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1570…

A: To find deflection at point A and B

Q: A beam is subjected to equal bending moments of M, = 3800N-m. The cross-sectional dimensions are b =…

Concept explainers

Cables

Cables are collections of wires, alternatively referred to as a cord, connector, or plug. They are one or more wires covered in a plastic covering that allows for the transmission of power or data between devices. The earliest use of recognizable electrical cable was the early commercialized telegraph lines. These were iron-made and tedious to produce and install cabling.

Question

100%

4. A restrained beam is subjected to a loading distribution shown below. Determine:
a. the location of the maximum deflection,
b. the maximum deflection,
c. the reactions at fixed supports, and
d. the maximum wo that can be applied if the maximum allowable deflection is L/360.
w=w,cos(Tx/2L)
Figure 4.4

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps

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

A beam is subjected to equal bending moments of M, = 4300 N-m. The cross-sectional dimensions are b = 140 mm, c = 35 mm, d = 68 mm, and t = 5 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M2 H d (tур) K Answer: (a) y= i mm Iz = i mm4 S= i mm3 (b) ƠH MPa (c) OK = i MPa (d) Omax i MPa
Keep it urgently
Help
The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I-1730 in.4]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 210 kip-ft, P = 13 kips, LAB = 3.8 ft, LBC = 5.7 ft. MA A Answer: (a) VA = (b) VB = LAB P B in. in. LBC C - X
For the beam and loading shown, determine the magnitude of the deflection at point C. The length of the beam, L, is 1,000 mm. The moment, M, is 55 kN·m. The flexural rigidity, EI, is 4.5X108 kN·mm2.
ASAP
A beam is subjected to equal bending moments of M, = 3500 N-m. The cross-sectional dimensions are b = 165 mm, c = 29 mm, d = 72 mm, and t = 3 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M2 M2 H d (tур) K Answer: (a) y= i mm z= i mm4 S= i mm3 (b) OH = i MPa (c) σκ-i MPa (d) Omax i MPa
1. A simply supported beam carries three concentrated loads as shown in the figure. a. Determine the slope and deflection equation for every segment of the beam. b. Determine the deflection per El at the right half of the beam. (hint: Eq. - Ely = 54x-2/3x³-5/3[x-67³-6264) c. Determine the value of Ely under the 8-kip load. (Ans: 6246 kip.ft³) 10 kips 8 kips 6 ft 6 ft 6 ft 10 kips 6 ft
A steel beam is 24 inches tall, has a length, L, of 32ft, and has a yield stress of 36ksi. The simply supported beam supports a single load, P, of 17 kips at its midspan. If the theoretical maximum deflection of this beam is -(PL^3)/(48EI), determine the required moment of inertia such that the actual deflection of the beam will not exceed a value of L/360, and the actual stress will have a factor safety of 1.5 with respect to yielding.
Unit load method for deflection of pin jointed frames
A simply supported beam has loads P1-38 kN, P2-68 kN, and P3-74 kN. Calculate the deflection at C in terms of El. Note: If the deflection is downwards, answer in a negative value, otherwise, answer in positive value. (i.e. 562.50/EI should be answered -562.5) Answer in 2 decimal places P, (kN) P2 (kN) P3 (kN) 2.4m 3.2m 3.8m A В C D E 12.8m
Rigid bar ABCD is pinned at C and supported by bars (1) and (2) at A and D, respectively. Bar (1) is aluminum and bar (2) is bronze. A concentrated load P = 80 kN is applied to the rigid bar at B. Compute the normal stress in each bar and the downward deflection of the rigid bar at A.