The simply supported beam as shown in Figure 1 has the rectangular cross-section (b = 85 mm, h = 105 mm) which carries uniformly distributed load of 10 kN/m along AB, a concentrated load of 25 kN at B and a bending moment of 30 kNm at C i) Find the reactions forces at support A and C ii) Draw the shear force and bending moment diagrams for the beam iii) Find the maximum shear force and maximum bending moment of the beam iv) Calculate the moment of inertia of the beam v) Determine the maximum normal stress and maximum shear stress 85 mm 25 kN 10 kN/m 105 mm B 2 m A 2m 30 kN.m

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter4: Shear Forces And Bending Moments
Section: Chapter Questions
Problem 4.5.28P: A beam with simple supports is subjected to a trapezoidally distributed load (see figure). The...
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The simply supported beam as shown in Figure 1 has the rectangular cross-section (b = 85
mm, h = 105 mm) which carries uniformly distributed load of 10 kN/m along AB, a concentrated
load of 25 kN at B and a bending moment of 30 kNm at C
i) Find the reactions forces at support A and C
ii) Draw the shear force and bending moment diagrams for the beam
iii) Find the maximum shear force and maximum bending moment of the beam
iv) Calculate the moment of inertia of the beam
v) Determine the maximum normal stress and maximum shear stress
85 mm
25 kN
10 kN/m
105 mm
H
B
A
2 m
2 m
30 kN.m
Transcribed Image Text:The simply supported beam as shown in Figure 1 has the rectangular cross-section (b = 85 mm, h = 105 mm) which carries uniformly distributed load of 10 kN/m along AB, a concentrated load of 25 kN at B and a bending moment of 30 kNm at C i) Find the reactions forces at support A and C ii) Draw the shear force and bending moment diagrams for the beam iii) Find the maximum shear force and maximum bending moment of the beam iv) Calculate the moment of inertia of the beam v) Determine the maximum normal stress and maximum shear stress 85 mm 25 kN 10 kN/m 105 mm H B A 2 m 2 m 30 kN.m
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