Answered: For the beam shown in the figure, draw…

Engineering

Civil Engineering

For the beam shown in the figure, draw the shear force and bending moment diagrams using slope-deflection method.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Frames

The trusses and frames are the two most important structural members of civil engineering. Trusses are the interconnection of links and other structural members. The interconnection with other members makes the system behave as a single member that supports and transfers loads. Trusses are generally two types, plane truss, and space truss. Frames on the other hand form the skeleton of any building construction. Frames are structures formed by the connection of beams, columns, slabs, and joists. These members provide the building with the required structural support.

Question

For the beam shown in the figure, draw the shear
force and bending moment diagrams using slope-deflection
method.
A
w = 4 kN/m
8 m
B
m
+-2m-
C

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Step 1: Introduction

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Step 2: Fixed end moment and slope deflection equations Calculation

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Step 3: Final end moment Calculation

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Step 4: Shear force Diagram

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Step 5: Bending Moment Diagram

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Problem 3. Determine the following unknowns on the beam shown below using Conjugate-Beam Method. Consider 250 mm x 250 mm section and E = 200 GPa. Show complete and organized solution. Round-off your answers to two decimal places. a. Vertical Reaction at C in kN. a=4.5 b. Moment Reaction at C in kN-m. c. Deflection at point B in mm. d. Maximum deflection on the beam in mm b=30.0kN/m c=12KN c kN b kN/m A "a" m “a" m
Subject: Structural Theory 2 Task: Answer this question in different methods such as Double Integration method, area moment method, conjugate beam method, AND virtual work method.
In the structure shown, the support at A rotates 3x10-3 radians CCW, and the support at C has a settlement of 0.8 inches. Make the shear force and bending moment diagram using 1. Three-moment equation 2. Slope Deflection Method Make sure the diagrams for both methods are the same.
Please include your complete solutions. Also include shear and moment diagrams. Thank you!
1. The beam with, cross-section shown, is subjected to the load shown. Using E=200 GPa, determine the defection at D and the maximum deflection by double integration method. 80 mm 25 mm 4 kN/m 16 kN 25 mm B D 140 mm 6m 4m 2m 25 mm 120 mm
A cantilever beam having a span of 3.5m long is subjected to a concentrated load of 3kN acting at 1.5m from the support (left end), and a clockwise moment of 15kNm at 3m from the support. Using E = 200GPA and I = 100,000,000 mm*, determine the maximum deflection [in mm].
SOLVE ONLY ONE OF THE FOLLOWING, using either the Unit Load Method/Method of Virtual Work or the Castigliano's Theorem: A A.) For the truss loaded as shown in Fig A, calculate the total deflection at joint D. Consider uniform cross sectional area A= 500mm² and modulus of elasticity E for all members is 200 GPa. B.) For the rigid frame shown in Fig B, calculate the horizontal deflection at point C. Members have the same moment of inertia of 1440 x 104 cm4 and E is constant at 210 GPa. P= 151 kN P in KN B H O G 4@3m 12 m Fig. A P in kN LL D 4m 120 kN/m B 120 kN/m A 4m Fig. B P in kN 3m 5m
Problem 2. Use Force Method A) For the frame shown below, draw the shear and moment diagram B) Find the horizontal deflection at Cusing virtual work Assume El is constant. C 30 ft 10 ft 15 kips 10 ft
Problem: Analyze the continuous beam shown in Figure by drawing the shear and bending moment diagram and sketch the elastic curve. 10 ft AB 1.2 k/ft 30 ft 60 k ↓ 20 ft 10 ft 40 k 15 ft 5 ft E
Part C
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]