For the simple truss shown in the picture the students are required to determine a combination of values for the cross-sectional area of the truss members and the angle 0 that will allow the structure to be both safe for example, the axial stresses developing within the truss elements are less than the yield stress fy = 500MPA and cheep, provide that the cost of the material is cost = 1.1£/kgr. Assume that the density of the material is 8100 kgr/m3. It is noted that the structural analysis has been already carried out for and the analytical relations expressing the internal forces have been provided in the picture.

For the simple truss shown in the picture the students are required to determine a combination of values for the cross-sectional area of the truss members and the angle 0 that will allow the structure to be both safe for example, the axial stresses developing within the truss elements are less than the yield stress fy = 500MPA and cheep, provide that the cost of the material is cost = 1.1£/kgr. Assume that the density of the material is 8100 kgr/m3. It is noted that the structural analysis has been already carried out for and the analytical relations expressing the internal forces have been provided in the picture.

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

An extruded polymer bear is subjected to a bending moment M. The length of the bear is L = 500 mm. The cross-sectional dimensions of the bear are b₁ = 39 mm, d₁ = 95 mm, b₂ = 23 mm, d₂ = 23 mm, and a = 8 mm. For this material, the allowable tensile bending stress is 18 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam. M A Answer: M = L B N-m ↓ a d₂ ➡AK b₂ b₁ yak
The strain gauge measurement of a steel plate indicate the principle strains are 0.003 and 0.001. What is the value of major principle stress in MPa? (E = 200 GPa, μ = 0.33)
A tensile stress is applied along the long axis of a cylindrical steel rod with a diameter of 10 mm. If the deformation is entirely elastic, determine the magnitude of the load required to produce a 5 * 10-3 mm change in diameter.Assume a modulus of elasticity of 200 GPa and a Poisson’s ratio of 0.27.
The shown figure represents the stress-strain relations of metals A and B during tension tests until fracture.Determine the following for the two metals (show all calculations and units):a. Proportional limitb. Yield stress at an offset strain of 0.002 in./in.c. Ultimate strengthd. Modulus of resiliencee. Toughnessf. Which metal is more ductile? Why?
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 620 mm. The cross-sectional dimensions of the beam are b1 = 39 mm, d, = 82 mm, b = 23 mm, dɔ = 23 mm, and a = 8 mm. For this material, the allowable tensile bending stress is 20 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 lak M di B L b1 Answer: M = i N.m
An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure P-108. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminum of 90 MPA, or in bronze of 100 MPa. Steel A = 500 mm 2 Aluminum Bronze %3D A 400 mm2 4= 200 mm 4P Figure P-108 2.5 m- 2.0 m 1.5 m
Given data : Stress=70 Mpa E=800 MPa Determine the value of strain
Erase Figure 9 In using the method of consistent deformation in analysing structures, the compatibility equation has to be written. Why is this necessary?
a13 both
ANSWER A PLS
Show the typical Stress versus Strain curve for the following materials, and define the materials properties "The stress-strain curve can be used to read off the structural load ability of materials. For many materials, including metals, their loading bearing capability is one of the most important material properties". by reference to the diagram: Cavie d) Box is made from polypropylene
Creep exercises You are involved in a design for high temperature alloys and have performed a rupture test of material A and B. After data analysis, you noticed that the master curve (o vs LMP) of both material A and B coincide as shown in the diagram below. Based on the rupture strength o (MPa) AtB LMP = T(C+ Int) Which material will you select if they both have same constant (CA= CB)? Which material will you select if C < C? Motivate your answer by means of a calculation.