solve thee following problem with the correct answer please, please make sure to show so I can understand. Assume that a pin-ended column of length L has a square cross section of dimensionsdi di and has a critical buckling load of P1. What is the relative increase in load-carryingcapacity if the cross-sectional dimensions of the column are doubled?2dd₁2d.

Using Euler's formula for the critical buckling load of a column (Pcr) isPcr = π² EI / (KL)²whereE…

Answered: Assume that a pin-ended column of…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A cantilever beam with a ‘T’ shaped cross-section is loaded with a distributed load as shown below. The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm. Parameter Description Value UnitsL Beam length 250 mm a Width of the flange 80 mm d Height of the web 75 mm σ Yield stress 250 MPa You are tasked with ensuring the beam can withstand the applied loading. To do this you must: Create a two-dimensional contour plot of the bending and transverse shear stresses over the length and height of the beam (xy plane). You can use your results above to validate your approach. Note: perform these calculations in a program such as Matlab or Python. Provide the script.
Question 3 A pair of lateral load is applied to a 3 m steel beam as in Figure Q3a to bend it plastically. The beam has a solid rectangular cross-section (30mm x 50mm) as in Figure Q3b. The steel behaves in elastic-perfectly plastic behavior with Yield Stress of 200 MPa. When 50% plastic condition at critical section, determine: a. the value of load P b. the Yielded Length, Lp corresponding to condition in part (a). 1.5P P 1m 1m Figure Q3a 1m 30mm 50mm Figure Q3b
Compute for the maximum allowable distributed load o that can be applied to the simply supported beam as shown in Figure M-Va. The beam's cross section is detailed in Figure M-Vb. @(N/m) Allowable Stresses: Fiber Stress = +13.5 MPa / -12 MPa Transverse Shear Stress at NA = 900 kPa Transverse Shear Stress at Junction 800 2 m Figure M-Va 2 m Draw the flexural and shear stress distributions of the cross section. T 40 40 40 Figure M-Vb 40 120 mm
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(b) Figure Q4(a) shows a steel beam with length of 4 m that is supported by a steel column at point B. The steel column of AB has a rectangular cross section (40 mm× 70 mm). The ends are assumed to be pin connected. The yield stress of steel is o y = 250 MPa. The Modulus Elasticity of the steel is 200 GPa. Use factor of safety of 1.5. (i) Check whether the Euler's equation is appropriate or not. (ii) Determine the maximum distributed load (W) that can be applied to the beam so that the column of AB does not buckle.
How to make a effective stiffness matrix for this figure?
A beam is supported by a column 3 m tall with dimensions a x 1.5a as shown above. The column is fixed at the base and pinned to the beam. Assume a Young’s modulus of ? = 25 GPa and yield strength of ?? = 20 MPa for the column.a) Draw the SFD and BMD for the beam and determine the axial load acting on the column.b) What is the minimum value of “a” that would not result in buckling of the column?c) If the column was instead fixed to the beam, how would this change the minimum value of “a”?
Cross-section of a column consisting of two steel strips, each of thickness t and width b is shown in the figure below. The critical loads of the column with perfect bond and without bond between the strips are P and Po respectively. The ratio P/P is b t
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Assume that a pin-ended column of length L has a square cross section of dimensions di di and has a critical buckling load of P1. What is the relative increase in load-carrying capacity if the cross-sectional dimensions of the column are doubled? 2d d₁ 2d.