1. The cantilever beam in Figure 1 is fixed A, and is loaded with a distributed load from B to C and a concentrated moment at D. (a) Determine all of the support reactions on the beam (at A). Show free-body diagrams (with all essential components), and clearly annotate all calculations. [ans.: A, 10 kN; Ax = 0; M₁ = 20 kNm] (b) Use the METHOD OF SECTIONS to determine expressions for the shear force and bending moment along the entire length of the beam. [Ans.: A to B: Q = 10 kN, M = 10x - 20 kNm; B to C: Q = -10x + 15 kN, M = -5x² + 15 x - 21.25 kNm; C to D: Q = 0, M = -10 kNm] (c) Plot the shear force and bending moment diagrams. X 0.5 m B 10 kN/m 1 m C 0.5 m 10 kNm D

1. The cantilever beam in Figure 1 is fixed A, and is loaded with a distributed load from B to C and a concentrated moment at D. (a) Determine all of the support reactions on the beam (at A). Show free-body diagrams (with all essential components), and clearly annotate all calculations. [ans.: A, 10 kN; Ax = 0; M₁ = 20 kNm] (b) Use the METHOD OF SECTIONS to determine expressions for the shear force and bending moment along the entire length of the beam. [Ans.: A to B: Q = 10 kN, M = 10x - 20 kNm; B to C: Q = -10x + 15 kN, M = -5x² + 15 x - 21.25 kNm; C to D: Q = 0, M = -10 kNm] (c) Plot the shear force and bending moment diagrams. X 0.5 m B 10 kN/m 1 m C 0.5 m 10 kNm D

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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Budget Estimating

The term budget signifies a plan over the long run, generally, a year that covers the financial expenses and revenues of any organization. This budget plan is known to estimate the growth and success of any organization. Civil engineering companies utilize project budgets for estimating project costs, construction costs, and other direct and indirect costs related to the project being undertaken. Project budget is a detailed statistical tool primarily used by project managers to estimate the overall project cost. The project budget is in the form of a document that includes all the costs which are incurred during the project undertaking and after the completion of the project. Large commercial projects have the project budget estimate in the form of large detailed pieces of documents which include every cost estimate regarding man and materials. Labor costs, material procurement costs, construction costs, and operational costs are some of the costs that are incurred during the project execution and planning phase.

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Tutonal 54: Beam
1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distributed load from B
to C and a concentrated moment at D.
(a) Determine all of the support reactions on the beam (at A). Show free-body diagrams
(with all essential components), and clearly annotate all calculations.
[ans.: Ay = 10 kN; Ax = 0; M₁ = 20 kNm]
(b) Use the METHOD OF SECTIONS to determine expressions for the shear force and
bending moment along the entire length of the beam.
[Ans.: A to B: Q = 10 kN, M = 10x - 20 kNm;
B to C: Q = -10x + 15 kN, M = -5x² + 15 x - 21.25 kNm;
C to D: Q = 0, M = -10 kNm]
(c) Plot the shear force and bending moment diagrams.
Ex
Analysis:
0.5 m
B
10 kN/m
1 m
C
:Sections
0.5 m
10 kNm
D

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