Three wooden beams and two steel plates are securely bolted together to form the composite member shown. Using the data given in the table, determine the largest permissible bending moment when the member is bent about a horizontal axis. Take x = 6.5 in. Modulus of elasticity Allowable stress Wood 2 x 10° psi 2000 psi 2 in. 2 in. 2. 2 in. Steel 29 x 105 22,000 psi psi The largest permissible bending moment when the member is bent about a horizontal axis is 134.770 kip-in.

Three wooden beams and two steel plates are securely bolted together to form the composite member shown. Using the data given in the table, determine the largest permissible bending moment when the member is bent about a horizontal axis. Take x = 6.5 in. Modulus of elasticity Allowable stress Wood 2 x 10° psi 2000 psi 2 in. 2 in. 2. 2 in. Steel 29 x 105 22,000 psi psi The largest permissible bending moment when the member is bent about a horizontal axis is 134.770 kip-in.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

QI/ An aluminum bar carries the axial loads at the positions shown in Fig. 1, below. The diameter for part AB, BC and CD is 35 mm, 40 mm and 30 mm, respectively. The elastic modulus for aluminum is 72.4 x 10 N/mm. Determine the internal stresses at section (A-B), (B-C) and (C- D), and the elongation (AL) in length at each part of aluminum due to loading. в D 37 kN 10 kN 45 kN 18 kN 1000 mm 800 mm I 600 mm Fig. 1
A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 70 GPa] bars, as shown. The beam is subjected to a bending moment of 400 N-m acting about the z axis. Using a = 15 mm, b = 100 mm, c = 30 mm, and d = 65 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Aluminum y Brass Aluminum b Brass C a d
A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 73 GPa] bars, as shown. The beam is subjected to a bending moment of 445 N-m acting about the z axis. Using a = 15 mm, b = 125 mm, c = 30 mm, and d = 75 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Z Aluminum C Aluminum Answers: (a) Ogl Brass (b) Obr= i i b Brass a MPa MPa
3 For a composite bar as shown below, what is the relation between axial deformation and thermal deformations in the bar? Cu tube (1) Steel bar (2) D d- Where, o,, o, = stresses in Cu and steel bar respectively. Coefficient of thermal expansion for Cu and steel bar respectively.
A composite beam made of steel and bronze has the cross section shown. The cross-sectional dimensions are b1 = 0.5 in, b2 = 1.5 in., and d = 1.0 in. The elastic modulus of the steel is E1 = 30,000 ksi, and its allowable bending stress is 24 ksi. The elastic modulus of the bronze is E, = 15,000 ksi, and its allowable bending stress is 16 ksi. Calculate the magnitude of the allowable bending moment that can be applied about the z centroidal axis. y Bronze (2) Steel (1) bị b2 Answer: M = i Ib-in. Save for Later Attempts: 0 of 1 used Submit Answer
Bar A-B-C is made from a fully bonded composite of two materials as shown in the cross section below. Find the Z displacement at point C. A C 1.10 m 20 kN B 1.25 m 50 kN с Y I cross section c-c Uz = 5 mm, material 1 5 mm, material 2 5 mm, material 1 25 mm Material 1 E = 240 (GPa) Material 2 E = 180 (GPa) mm (at C)
Q1 A cantilever composite beam is formed by bonding together brass bar (EB = 100 GPa) and aluminium (EA = 70 GPa) with cross section and loading at free end as shown in Figure Q1. Parameter x, y, and z are given by: X=0 Y=0 Z=2 (a) Determine the centroid and the moment of inertia of the composite section. (b) Calculate the maximum tensile and compressive stresses in the brass and aluminium. brass 5x mm (10 mm 20mm |4y mm 0.5(4y) mm M=2.z kN.m 4y mm aluminium Figure Q1 |
1. For the 15 foot copper bar shown in the figure below, find the total elongation (or shrinkage). The bar has a square cross section of 2" x 2" ( 16,000 lbs 4000 lbs 12' Punch Force 12000 lbs 2. A metal plate is 125 inch thick. What force is required to punch out a square piece 1" x 1"? The ultimate shear stress of the metal is 37,000 psi, and the ultimate tensile stress is 60,000 psi.
In the figure below, the wood pole is supported by cables of 0.32-in diameter. The turnbuckles in the cables are tightened until the stress in the cables reaches 60000psi. If the working compressive stress for the wood is 216psi. Determine the smallest permissible diameter of the pole.___________inches in 2 decimal places. Take note: Write it on a paper, hand written showing answer. Thanks
A composite beam is made of two brass [E = 112 GPa] bars bonded to two aluminum [E = 69 GPa] bars, as shown. The beam is subjected to a bending moment of 350 N-m acting about the z axis. Using a = 15 mm, b = 115 mm, c = 25 mm, and d = 65 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Z Aluminum с Aluminum Answers: (a) Jal= (b) Obr= Brass i y i b Brass a a MPa MPa
A composite section consisting of steel and wood such as depicted. The cross section receives a bending moment M of 850 lb-ft. It is known that the modulus of elasticity of steel is 29000 ksi, while The modulus of elasticity of wood is 1600 ksi. Determine the maximum stress that occurs in each steel and wood parts
The composite material is fastened to their junction at rigid plate B and attached to rigid fixed supports at both ends subjected to two loads of 12k positioned symmetrically at B. Determine the stresses and their corresponding behavior for each material. Use 2 decimal places in every solved value. 亚 А 12k 12k 1 ft Steel Est = 29 x 10° psi Ast = 1.03 in? B Aluminum 2 ft Eal = 10 × 106 psi Aal = 8.92 in² C