A bar is supported by pins at B and A. If x is one meter and w is 12 kN/m determine thediameter of the pins required. The failure shear stress for the pins is 250 MPa and a Factorof Safety of 2.0 is required. Assume the pin at B only supports a vertical reaction on the bar.Also based on the pin diameters calculated, determine the additional downward load P atthe right end that could be added if the FOS is reduced to 1.5A,B2 m2 m

Answered: A bar is supported by pins at B and A.…

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 bar is supported by pins at B and A. If x is one meter and w is 12 kN/m determine the
diameter of the pins required. The failure shear stress for the pins is 250 MPa and a Factor
of Safety of 2.0 is required. Assume the pin at B only supports a vertical reaction on the bar.
Also based on the pin diameters calculated, determine the additional downward load P at
the right end that could be added if the FOS is reduced to 1.5
A,
B
2 m
2 m

Expert Solution

Step 1 Given data and support reaction calculation

given w=12KN/m distance x =1.0 m $y e i l d s t r e s s g i v e n i n p i n = 250 M P a f a c t o r o f s a f e t y f o s = 2.0 w o r k i n g s t r e s s σ = \frac{250}{2} = 125 m p a H e r e w e a s s u m e t h a t p i n r e s i s t \sin g l e s h e a r f o r s a f e t y p u r p o s e s h e a r s t r e n g t h o f p i n = w o r k i n g s t r e s s \times a r e a = 125 \times A$

Support reactions;

$r e a c t i o n a t s u p p o r t w i l l a c t a s d o w n w a r d \sum_{}^{} F_{y} = 0 R_{B} = 12 + R_{A} \sum_{}^{} M_{A} = 0 R_{B} \times 2 = 12 \times 3.5 R_{B} = 21 K N R_{A} = 9 K N$

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