1) A simply supported beam made of elasto-plastic material and has a I shaped cross-section seen in the figure. If the yielding stress is o, = 240MP , determine the load that will cause collapse in the beam (Pcotlapse). Note: Consider the only bending effect in the calculations. 100 m 50 na 25 mm 200 mm 4 m 4 m 50 mm 250 mm

1) A simply supported beam made of elasto-plastic material and has a I shaped cross-section seen in the figure. If the yielding stress is o, = 240MP , determine the load that will cause collapse in the beam (Pcotlapse). Note: Consider the only bending effect in the calculations. 100 m 50 na 25 mm 200 mm 4 m 4 m 50 mm 250 mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A rigid beam is supported by bar DE. If the vertical displacement of point D is to be less than 0.1…

A: Let FDE be the force on the bar DE.Vertical displacement at point D will be equal to the change in…

Q: A propeller shaft subjected to combined torsion and axial thrust is designed to resist a shear…

A: Using relations

Q: Let strain rosette shown in figure computed the values of strains at the built in end and in NA of…

Q: A uniform elastic rod of length 4L and constant cross-section, is fixed at its left end as shown in…

A: For an uniform elastic rod of constant cross section,Length : 4LAn axial force P is acting at the…

Q: onsider a beam with a cross-section shown below for the question. The x and y axes pass through the…

A: Since the section is symmetrical about X-axis we get centroidal X-axis at half the section. Moment…

Q: Beams: 4a A beam of cross section as shown (dimensions in centimeters) is loaded by a positive…

Q: Problem 1. From the given beam and loading in the figure. a. Determine the neutral axis of the beam…

Q: Let strain rosette shown in figure computed the values of strains at the built in end and in NA of…

Q: A uniform structural tubing column AB with a height of 4 m has a cross section as shown in Figure…

A: The given data is shown below: Height=4mE=200 GPaA=2285 mm2r=37.5 mmI=3.33×106 mm4F=2e=18.75 mm

Q: A beam under load experiences sagging with a maximum bending moment of 24 x 106 Nm. The beam has a…

A: Calculate the maximum tensile stress and the maximum compressive stress for this beam.

Q: 2. As shown in the figure, a rigid beam with negligible mass is pinned at one end and supported by…

Q: Derive a formula for the strain energy U of the cantilever bar shown in the figure. The bar has…

A: Derive a formula for the strain energy U of the cantilever bar shown in the figure.

Q: The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of…

A: two sections are given as followsh=74mmb=52mma=8mmH=74mmd=52mmfor channel section yield…

Question

1) A simply supported beam made of elasto-plastic material and has a I shaped cross-section seen in
the figure. If the yielding stress is o, = 240MP , determine the load that will cause collapse in the
beam (Pcotlapse).
Note: Consider the only bending effect in the calculations.
100 m
50 ma
25 mm
200 m
4 m
4 m
50 pm
250 mm
gt

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

First image is below for solution

VIEW

Second image is below for solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Derive a formula for the strain energy U of the cantilever bar shown in the figure. The bar has circular cross sections and length R. It is subjected to a distributed torque of intensity z per unit distance. The intensity varies linearly from z = 0 at the free end to a maximum value z = zo at the support. Express your answer in terms of maximum value zo , length R, shear modulus G and polar moment of inertia Ip . U =
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a= 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.². The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 31 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). 6 ft 2.5 ft O 3.74 kips 4.77 kips (1) B 3 ft 8 ft 1.5 ft 2 D
1) A square cross-section cantilever beam is subjected to a force as shown below. What is the maximum force that can be applied to achieve a safety factor on yielding of 1.2 (use the maximum shear stress failure theory)? T = 8N-m L = 10m C=0.5m P=? Al 2024 Sy=455MPa Kic=26MPa (m)1/2
SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING. ILLUSTRATE FREE BODY DIAGRAM.
A beam of rectangular cross-section 40 x 20 mm is loaded with tensile force 1000 N as shown in figure. A B BO Calculate the shear stress on oblique plane at 0 = 45° A 0.625 MPa C 0.31 MPa F D 1.25 MPa
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a = 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.². The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 38 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). 6 ft 2.5 ft 5.16 kips 4.86 kips 2.48 kips 3.88 kips O 4.09 kips (1) B 3 ft P 8 ft 1.5 ft
A cross section of an engineering structure made of steel is shown in the Figure. For an applied torque of T = 175 N.m, (a) determine how much torque is carried by each of the two cross-sectional components and (b) the angle of twist per unit length. The shear modulus G = 200 GPa. (Neglect the stress concentrations). 45 mm 40 mm 4 mm 60 mm 4 mm 4 mm 120 mm 6 mm
A pressurized cylindrical tank with flat ends is loaded by torques T and tensile forces P (see figure). P The tank has an inner radius of r = 141 mm and wall thickness t = 6.5 mm. The internal pressure p = 7.25 MPa and the torque T = 820 N m. (Assume that the structure behaves linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.) (a) What is the maximum permissible value of the forces P if the allowable tensile stress in the wall of the cylinder is 169 MPa? (Enter the magnitude in kN.) KN (b) If forces P = 400 kN, what is the maximum acceptable internal pressure in the tank (in MPa)? MPa
The figure shows a beam made from a material having an allowable tensile stress of 135 MPa and a compressive stress of 165 MPa. The couple M is applied to the beam in a plane forming an angle of 45° as shown in the figure. a) Determine the location of the centroid of the cross section b) Calculate the moments of inertia about the principal axes, I, and ly c) Determine the maximum allowable internal moment M that can be applied to the beam N M Y 140 mm 140 mm 45⁰ 140 mm 280 mm 140 mm 140 mm
None
The cross-sectional dimensions of a beam are shown in the figure. (a) If the bending stress at point K is 35 MPa (C), determine the internal bending moment Mz acting about the z centroidal axis of the beam. (b) Determine the bending stress at point H. The bending stress is positive if in tension and negative if in compression. 85 mm 4 mm TT K 55 mm H 4 mm 45 mm 4 mm Answers: (a) Mz = UN-m (b) OH = JMPA