Problem 914 | Combined Axial and Bending

Problem 914
The structure shown in Figure P-914 is hinged to fixed is hinged to fixed supports at A and C. Assume that the pin connections at A, B, and C are frictionless. The bars are each 4 in. by 4 in. in section. Compute the maximum compressive stress developed in bar AD.
 

914-two-bar-structure.gif

 

Solution 914

 

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a block weighting 1000N is

a block weighting 1000N is kept on a rough plane inclines at 40 digress to the horizontal the coefficient of friction between the block and the plane is 0.6.Determine the smallest force inclines at 15 digress to the plane required just to move the block up the plane.

Let: P=force needed to move

Let: P=force needed to move up the block

Take summation of forces vertical
Fv=0;

N=1000cos40+Psin15 eq.1

Take summation of forces horizontal Fh=0;

Pcos15=F+100sin40 eq.2

note: F=uN

where F stands for friction force
u stands for coefficient of friction
N stands for normal force on plane

Subst. eq. 1 to the formula;

F=0.6[(1000cos40+Psin15] eq.3

Then subst. eq.3 to eq.2;

Pcos15=0.6(1000cos40+Psin15)+1000sin40

Solving for P;

P=1359.94 N answer

Hope this will help you..

sir what software you are

sir what software you are using to draw the beam diagram with different support conditions like pin and dollar supports

MS Visio

MS Visio for figures in this page.