Determine the reactions and the member end forces in local coordinates for the frame shown below using the matrix stiffness method. Draw shear force, bending moment and qualitative deflected shape diagrams. 15 ft 2 k/ft ^^^^^^^^^^^^^ 10 ft 20 k 2 10 ft E = 29,000 ksi I = 1,000 in.4 A = 12 in.²

Determine the reactions and the member end forces in local coordinates for the frame shown below using the matrix stiffness method. Draw shear force, bending moment and qualitative deflected shape diagrams. 15 ft 2 k/ft ^^^^^^^^^^^^^ 10 ft 20 k 2 10 ft E = 29,000 ksi I = 1,000 in.4 A = 12 in.²

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: Q1: The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical…

Q: Figure shows the members of a truss structure, subjected to a vertical load of 100 kN as shown.…

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: A propped cantilever beam is loaded by a bending moment of the magnitude M, at the point B as shown…

Q: QI: The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical…

Q: Learning Goal: To determine the shear stresses at specific locations in a beam due to an external…

Q: stone concrete slab that is used for an office. The slab is 200 mm thick. Sketch the loading that…

Q: Q1: The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical…

Q: For the simply supported beam subjected to the loading shown, derive equations for the shear force V…

Q: 1. Draw the shear and moment diagram of the given Beam diagram and answer the following questions.…

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. Use virtual work method and determine the following unknowns on the truss system shown…

Q: For the simply supported beam as shown in figure. The required section modulus if the allowable…

Q: I) The steel beam shown below has a constant EI along the length. Using E = 29,000 ksi and I = 110…

A: E=29,000 ksiI=110 in4Maximum displacement=0.01 inch

Q: Part 2: for the frame shown below, P=20 kN and a=2 m, Assume I=20000 in and E=30,000 ksi for all…

A: Given:P = 20 kNa = 2mI = 20000 in4E = 30000 ksiRequired:Vertical deflection of E

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: Examine the 2D frame shown to the right. Solve the problem with the following set of properties: E =…

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.…

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

Determine the reactions and the member end forces in local coordinates for the frame shown below using
the matrix stiffness method. Draw shear force, bending moment and qualitative deflected shape diagrams.
15 ft 2 k/ft
^^^^^^
10 ft
20 k
2
10 ft
E = 29,000 ksi
I = 1,000 in.4
A = 12 in.²

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

VIEW

Step 2: Fixed end moments

VIEW

Step 3: Displacement

VIEW

Step 4: Support moments

VIEW

Step 5: Reactions

VIEW

Step 6: Shear, axial and bending moment diagram

VIEW

Solution

VIEW

Step by step

Solved in 7 steps with 25 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

The three-bar truss ABC shown in the figure has a span L = 3 m and is constructed of steel pipes having cross-sectional area A = 3900 mm^2 and modulus of elasticity E = 200 GPa. A load P acts horizontally to the right at joint C. 1. If P = 60 kN, what is the horizontal displacement of joint B? a. 1.99 mm b. 7.50 mm c. 5.21 mm d. 2.25 mm 2. What is the maximum permissible load P if the displacement of joint B is limited to 2.5 mm? a. 85.0 kN b. 75.4 kN c. 52.1 kN d. 12.5 kN
Q1: The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P, = 400 kN and P2 = 360 kN acting at points A and D, respectively (see figure). Bars BE and CF are made of steel (E = 200 GPa) and have cross-sectional areas ABE = 11,100 mm? and AcF = 9,280 mm. The distances between various points on the bars are shown in the figure. Determine the vertical displacements dA and ôp of points A and D, respectively. %3! %3D %3D 15m 1.5 m 2.1 m- - 2.1 A B D P = 400 kN 2.4 m P2 = 360 kN F 0.6 ml E
The beam with cross-section shown in Figure 1 is subjected to a uniformly distributed load and a moment. The centroidal axis of the section is c= 74.44 mm from the bottom. I. -2.18x10 mm. E = 2.1×10 MPa. a) At a cross-section 2 m to the right of support A; i) ii) iii) Calculate the Shear Force, V, and the Bending Moment, M. Determine the maximum bending stress. Sketch the bending stress distribution across the section, include critical tension & compression stress values. Determine shear stress developed at the flange-web interface and also the shear stress at the neutral axis of the cross-section. Sketch the shear stress distribution across the section, include the critical values. b) Using the double integration method, find the deflection curve for 0≤x≤5 m. 3 kN/m 5m 3 m- Figure 1 15 kN-m 100 All dimensions are in mm.
Handwritten answers only pls.
Problem 1. (P10.1). For the truss shown below, compute the horizontal and vertical components of displacement of joint B produced by the 100-kip load. The area of all bars = 4 in² and E = 24,000 ksi. A 20' B E -20'- 15' 15' P = 100 kips
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
Consider the steel truss shown to answer Parts A, B, and C below, where P1 = 36 kN and P2 = 46 kN . The cross-sectional area of each member is A = 400 mm2 , E = 300 GPa, and ΔDh = 3.08 mm ΔEv = ____ mm
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]
Calculate the vertical support reaction in support A. When sketching FBD, set the positive directions of both reactions in the positive direction of y axis. Enter your answer in kN to three decimal places.
The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P = 400 kN and P = 360 kN acting at points A and D, respectively (see figure). Bars BE and CF are made of steel (E = 200 GPa) and have cross-sectional areas ABE = 11,100 mm and Acr = 9,280 mm. The distances between various points on the bars are shown in the figure. Determine the vertical displacements & and dp of points A and D, respectively.
Determine the joint displacements, member end forces, and support reactions for the beam shown, using the matrix stiffness method. E = 28 GPa and I = 5.8(10°) mm*. 200 kN 150 kN 30 kN/m 90 kN.m 1.5 I 6 m 4 m 5 m 5 m