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PROBLEM-1.

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PROBLEM-1

The hanger assembly is used to support a distributed loading of w=16kN/m. Determine the average stress in the 12-mm-diameter bolt at A and the average tensile stress in rod AB, which has a diameter of 15 mm. If the yield shear stress for the bolt is ty = 180 MPa, and the yield tensile stress for the rod is sy = 275 MPa, determine factor of safety with respect to yielding in each case.

B

1 m

C

A

w

4/3 m

2/3 m

Two bars are used to support a

load P. When unloaded, AB is

125 mm long and AC is 200 mm

long, and the ring at A

has coordinates (0,0). If a load is

applied to the ring at A, so that it

moves it to the coordinate

position (6.25 mm, -18.25 mm),

determine the normal strain in

each bar.

B

C

60o

200 mm

125 mm

A

P

PROBLEM-3

The bar DBA is rigid and is originally

held in the horizontal position. When the

weight W is supported from D, it causes

the end D to displace downward 0.5 mm.

The wires are made of A-36 steel and have

a cross-sectional area of 0.8 mm2, and

Est= 210 GPa.

Determine:

- The normal strain & stress in wire BE.
- The reaction force FBE and weight W.
- The normal stress & strain in wire CD.

PROBLEM-4

B

The rigid pipe is supported by a pin

at C and an A-36 steel guy wire AB.

If the wire has a diameter of 5 mm,

determine how much it stretches

when a load of P = 1500 N acts on

the pipe. The material remains elastic.

E = 210 GPa.

2 m

60o

A

C

“how much it stretches”

What does it mean??

stretch = change in length =dAB

PROBLEM-4

Equations of equilibrium

B

FBA)X

P

MC = 0;

FBA)Y

FBA)X = P = 1500 N

Cx

C

Applying uni-axial normal stress,

Cy

PROBLEM-5

d

A shear spring is made from two blocks

of rubber, each having a height h, width

b, and thickness a. The blocks are

bonded to the three plates as shown. If

the plates are rigid and the shear

modulus of the rubber is G, determine

the displacement of plate A if a

vertical load P is applied to this plate.

Assume that the displacement is small

so that d = a tan g ag

h

a

a

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