2.3-4 A rectangular bar of length L has a slot in the mid- dle half of its length (see figure). The bar has width b, thickness, and modulus of elasticity E. The slot has width b/4. (a) Obtain a formula for the elongation & of the bar due to the axial loads P. (b) Calculate the elongation of the bar if the material is high-strength steel, the axial stress in the middle region is 160 MPa, the length is 750 mm, and the modulus of elas- ticity is 210 GPa. (c) If the total elongation of the bar is limited to = 0.475 mm, what is the maximum length of the slotted region? Assume that the axial stress in the middle region remains at 160 MPa. 8 b P 4 Je b -4 P 4 L PROBS. 2.3-4 and 2.3-5 Answers: a) 8 = 7PL/(6Ebt); b) 8 = 0.5 mm; c) Lslot = 244 mm 8max = 0.5 mm the length is L = 760 mm, and the modul 2.3-5 Solve the preceding problem if the axial straro L 14/1272

2.3-4 A rectangular bar of length L has a slot in the mid- dle half of its length (see figure). The bar has width b, thickness, and modulus of elasticity E. The slot has width b/4. (a) Obtain a formula for the elongation & of the bar due to the axial loads P. (b) Calculate the elongation of the bar if the material is high-strength steel, the axial stress in the middle region is 160 MPa, the length is 750 mm, and the modulus of elas- ticity is 210 GPa. (c) If the total elongation of the bar is limited to = 0.475 mm, what is the maximum length of the slotted region? Assume that the axial stress in the middle region remains at 160 MPa. 8 b P 4 Je b -4 P 4 L PROBS. 2.3-4 and 2.3-5 Answers: a) 8 = 7PL/(6Ebt); b) 8 = 0.5 mm; c) Lslot = 244 mm 8max = 0.5 mm the length is L = 760 mm, and the modul 2.3-5 Solve the preceding problem if the axial straro L 14/1272

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

The rigid bar BDE is supported by two rods AB and CD. Rod AB is made of aluminum (Eal = 70 GPa) and has a cross-sectional area of AAB= 400 mm2; Rod CD is made of steel (Esteel = 200 GPa) and has a cross-sectional area of ACD = 500 mm2. The load P = 31 kN is applied at point E as shown in the figure. [LAB = 0.3 m, LCD = 0.4 m, a = 0.2 m, b = 0.4 m] Determine the internal force of rod AB?KN Determine the displacement of point B?in mm Determine the displacement of point E?
The assembly consist of two 10mm diameter red brass C83400 Copper rods AB and CD, a 15mm diameter 304 stainless steel rod EF, and a rigid bar G. The modulus of elasticity for red brass C83400 is 101 GPa for 304 stainless steel 193 GPa. If P= 4.3 kN, determine the horizontal displacement of end F of rod EF
A rigid bar AB is pinned at end A and issupported by a wire CD and loaded by a force P atend B (see figure). The wire is made of high-strengthsteel having a modulus of elasticity E = 210 GPa andyield stress σY =820 MPa. The length of the wire isL =1.0 m, and its diameter is d =3 mm. The stress straindiagram for the steel is defined by the modifiedpower law, as σ =Eε 0<σ≤σy σ = σy[Eε/σy] σ≥σy (a) Assuming n = 0.2, calculate the displacementδB at the end of the bar due to the load P. Takevalues of P from 2.4 kN to 5.6 kN in incrementsof 0.8 kN.(b) Plot a load-displacement diagram showing Pversus δB.
A 600 kg material is hung from the end of the horizontal bar BD as shown. Determine the stress on the rod AC if its diameter is 30 mm. Use 2 decimal places in every solved values. Pls include fbd.
The pin-connected structure is loaded and supported as shown below. Member ABCD is a rigid bar that is horizontal before a load P = 20 kips is applied at end D. Bars (1) and (2) are made ofsteel [E = 30,000 ksi], and each bar has a cross-sectional area of 0.55 in2. Sketch the free body diagram of member ABCD.Given that F1 = 2.0833 F2, determine the normal stress and the axial deformation in each bar.
The assembly consists of three titanium (Ti-6A1-4V) rods and a rigid bar AC. The cross-sectional area of each rod is given in the figure. A force of P=57 kip is applied to the ring F. Determine the horizontal displacement of point F. Use Et=17.4(10^3)ksi.
A W 12 X 35 steel cantilever beam is subjectedto an axial load P =10 kips and a transverse loadV =15 kips. The beam has length L = 6 ft. (a) Calculatethe principal normal stresses and the maximumshear stress for an element located at C near the fixedsupport. Neglect the weight of the beam. (b) Repeat Parta for point D which is 4 in. above point C (see figure).See Table F-1(a), Appendix F, for beam properties.
A solid circular bar is fixed at point A. Thebar is subjected to transverse load V = 70 lb andtorque T = 300 lb-in. at point B. The bar has a lengthL = 60 in. and diameter d = 3 in. Calculate the principalnormal stresses and the maximum shear stressat element 1 located on the bottom surface of the barat fixed end A (see figure).Assume that element 1 is a sufficient distancefrom support A so that stress concentration effectsare negligible.
Three steel rods, each having a cross-sectional area of 500 mm2, are assembled in a symmetrical manner, ass shown in the igure. Assume that steek behaves as a linear elastic material with E= 200 GPa. Determine the deflection of joint A due to a downward force of P= 2MN
The rigid bar DEF is welded at point D to the uniform steel beam AB. For the loading shown, in Figure I determine (a) the equation of the elastic curve of the beam, (b) the deflection at the midpoint C of the beam. Use E =29 x10° psi
A compressive load P is transmitted througha rigid plate to three magnesium-alloy bars that areidentical except that initially the middle bar is slightlyshorter than the other bars (see figure). The dimensionsand properties of the assembly are as follows:length L = 1.0 m, cross-sectional area of each barA = 3000mm2, modulus of elasticity E = 45 GPa,and the gap s = 1.0 mm.(a) Calculate the load P1 required to close the gap.(b) Calculate the downward displacement d of therigid plate when P = 400 kN.(c) Calculate the total strain energy U of the threebars when P = 400 kN.(d) Explain why the strain energy U is not equal toPδ / 2. Hint: Draw a load-displacement diagram.
UPVOTE will be given! Please write the solutions completely and legiby. Box the final answer. Answer in 3 decimal places! Strength of Materials The steel wide-flange beam has the dimensions shown. If it is made of an elastic perfectly plastic material having a tensile and compressive yield stress of o,, determine the following: Given: Allowable Stress = 300 MPa a = 20 mm b = 250 mm c = 250 mm c. Calculate the plastic moment of the section in kN.m d.Calculate the shape factor of the section.