STRUCTURAL ANAL.W/MOD MASTERING ACCE
STRUCTURAL ANAL.W/MOD MASTERING ACCE
18th Edition
ISBN: 9780134713649
Author: HIBBELER
Publisher: PEARSON
Question
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Chapter 4, Problem 4.1P
To determine

The internal normal force, shear force and bending moment at C and D.

Expert Solution & Answer
Check Mark

Answer to Problem 4.1P

Internal normal force at C, NC=0Shear force at C, VC=2.5 kNBending moment at C, MC=35 kNmInternal normal force at D, ND=0Shear force at D, VD=20 kNBending moment at D, MD=40 kNm

Explanation of Solution

Given Information:

Point D is located just right to the concentrated load. Support B is a pin and A is a roller.

Method of sections is used to find the values.

Calculation:

Initially the reactions at supports are to be found.

STRUCTURAL ANAL.W/MOD MASTERING ACCE, Chapter 4, Problem 4.1P , additional homework tip  1

Moment about A

MA=0(30×1)+(15×4)+30(RB×6)=0RB=20 kNRA+RB=30+15+(304)RA=32.5 kN

Internal Normal Force, Shear force and Bending moment at C:

By using method of section in the section AC

STRUCTURAL ANAL.W/MOD MASTERING ACCE, Chapter 4, Problem 4.1P , additional homework tip  2

Fx=0NC=0Fy=0RA+VC=15×2VC=2.5 kNMA=0(30×1)(2.5×2)+MC=0MC=35 kNm

Internal Normal Force, Shear force and Bending moment at D:

By using method of section in the section DB

STRUCTURAL ANAL.W/MOD MASTERING ACCE, Chapter 4, Problem 4.1P , additional homework tip  3

Fx=0ND=HB=0Fy=0RB+VD=0VD=20 kNMB=0(20×2)+MD=0MD=40 kNm

Conclusion:

Therefore,

Internal normal force at C, NC=0Shear force at C, VC=2.5 kNBending moment at C, MC=35 kNmInternal normal force at D, ND=0Shear force at D, VD=20 kNBending moment at D, MD=40 kNm

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