Ch.1 Problem 1.11 Solution | Study Guide - Edubirdie

University:
Michigan State University
Course:
ERG 100 | Introduction to Engineering Design
Academic year:

2021
Views:

404

Pages:

1
Author:

Nesbyenvkk

PROBLEM 1.11 The frame shown consists of four wooden members, ABC, DEF, BE, and CF. Knowing that each member has a 2 × 4-in. rectangular cross section and that each pin has a 1/2-in. diameter, determine the maximum value of the average normal stress (a) in member BE, (b) in member CF. SOLUTION  Add support reactions to figure as shown.  Using entire frame as free body, Σ M A = 0: 40 Dx − (45 + 30)(480) = 0 Dx = 900 lb.  Use member DEF as free body. Reaction at D must be parallel to FBE and FCF . Dy = 4 Dx = 1200 lb. 3 §4 · ΣM F = 0: − (30)¨ FBE ¸ − (30 + 15)DY = 0 ©5 ¹ F BE = − 2250 lb. §4 · ΣM E = 0: (30)¨ FCE ¸ − (15)DY = 0 ©5 ¹ FCE = 750 lb. Stress in compression member BE Area: (a) A = 2 in × 4 in = 8 in 2 σ BE = − 2250 FBE = 8 A σ BE = −281 psi W Minimum section area occurs at pin. Amin = (2)(4.0 − 0.5) = 7.0 in 2 Stress in tension member CF (b) σ CF = FCF 750 = Amin 7.0 σCF =107.1 psi W

Related Documents

Ch.1 Problem 1.11 Solution

Ch.1 Problem 1.11 Solution - Page 1

of 1

Recommended Documents

Exam 3 Cheat Sheet Heat Transfer

Exam 3 Cheat Sheet Heat Transfer

Michigan State University ERG 100 | Introduction to Engineering Design

Cheat Sheet

Ch.1 Problem 1.44 Solution

Ch.1 Problem 1.44 Solution

Michigan State University ERG 100 | Introduction to Engineering Design

Study Guide

Ch.1 Problem 1.54 Solution

Ch.1 Problem 1.54 Solution

Michigan State University ERG 100 | Introduction to Engineering Design

Study Guide

Ch.1 Problem 1.33 Solution

Ch.1 Problem 1.33 Solution

Michigan State University ERG 100 | Introduction to Engineering Design

Study Guide

Ch.1 Problem 1.59 Solution

Ch.1 Problem 1.59 Solution

Michigan State University ERG 100 | Introduction to Engineering Design

Study Guide

Ch.1 Problem 1.62 Solution

Ch.1 Problem 1.62 Solution

Michigan State University ERG 100 | Introduction to Engineering Design

Study Guide

Ch.1 Problem 1.25 Solution

Ch.1 Problem 1.25 Solution

Michigan State University ERG 100 | Introduction to Engineering Design

Study Guide

Ch.1 Problem 1.29 Solution

Ch.1 Problem 1.29 Solution

Michigan State University ERG 100 | Introduction to Engineering Design

Study Guide

Ch.1 Problem 1.65 Solution

Ch.1 Problem 1.65 Solution

Michigan State University ERG 100 | Introduction to Engineering Design

Study Guide

Ch.1 Problem 1.7 Solution

Ch.1 Problem 1.7 Solution

Michigan State University ERG 100 | Introduction to Engineering Design

Study Guide

Ch.1 Problem 1.68 Solution

Ch.1 Problem 1.68 Solution

Michigan State University ERG 100 | Introduction to Engineering Design

Study Guide

Ch.1 Problem 1.26 Solution

Ch.1 Problem 1.26 Solution

Michigan State University ERG 100 | Introduction to Engineering Design

Study Guide