Homework Sourseplease help with problem 1 2 and 3 PREP ASSIGNMENT Consider
please help with problem 1, 2, and 3
PREP ASSIGNMENT Consider the geometry below: A 36 inch length of steel angle-section (3/, inch by 3/, inch flanges with a / inch thickness) is loaded in compression. Predict the Euler buckling load of the member for the three boundary conditions that we will be testing (fix-fix, fix-pin, pin-pib). Note that the moment of inertia principle axes are not aligned 1. with the X and Y axes of the section shown below. Discuss what factors will contribute to a buckling load other than the one you have predicted. To fix a specimen end we will clamp one of the angle flanges in the load-frame clamps. To pin a specimen end we will insert a pin through a pre-drilled hole in one of the angle flanges. List all other potential failure modes that these specimens could experience. 2. 3. 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 8 0.4 Inches 0.2 0.6Solution
Pcr =( ?2EI)/(L2)?
moment of inertia for 20 X 20 mm equal angle with 3 mm thickness about X and Y axis is Ix=Iy= 0.392 cm4
Theoratical value of Effective length coefficient is 0.5
Pcr=(3.14*3.14*2*105*0.392*104)/(0.5*914)2 = 37.04 KN
Theoratical value of Effective length coefficient is 0.7
Pcr=(3.14*3.14*2*105*0.392*104)/(0.7*914)2 = 18.9 KN
Euler buckling load for pin to pin
Theoratical value of Effective length coefficient is 1
Pcr=(3.14*3.14*2*105*0.392*104)/(914)2 = 9.26 KN
2.
Theoratical value of Effective length coefficient is 0.7
Pcr=(3.14*3.14*2*105*0.392*104)/(0.7*914)2 = 18.9 KN
