Am14 x 2 hexagonal head bolt is used to clamp together two 15 mm steel plates. young's modulus of the bolt and the plates can be taken as 207 gpa. (i)-determine a suitable length for the bolt. (ii)-determine the bolt stiffness (iii)-determine the stiffness of the members

(i) 50 mm

(ii) 874.62 m N/m

(iii) 3116.45 m N/m

Explanation:

Given data

hexagonal head bolt = M14 x 2

steel plate = 15 mm

Young's modulus = 207 Gpa

Solution

1st part

dia of bolt (D) = 14 mm and height (H) = 12.8 mm from table

we know grip length = thickness of this plate i.e 30 mm , i.e (15mm+15mm)

so hexagonal bolt length = grip length + H

hexagonal bolt length = 30 mm + 12.8 mm = 42.80 mm i.e = 45 mm (round off)

2nd part

bolt stiffness =  

here Lt is length of thread = 2d +6mm

d is 14 so length of thread = 2*14 +6 = 34 mm

At from table 8-L i.e. = 115 mm2

Ad area of without thread part = ×

Ad= × = 153.94 mm2

Ld is length of bolt without thread = length of bolt - Lt = 45 -34 = 11 mm

last Lt thread part length = length of bolt - Ld = 30-11 = 19 mm

put all these value in bolt stiffness i.e.

bolt stiffness =   = 874.62

3rd part

stiffness of member =  

here l is 30 and d is 14

so

stiffness of member =  

stiffness of member =  3116.45 m N/m

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explanation:

answer:

200k

explanation: