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A 3 hinged parabolic arch with rise $H_m$ and span 20m carries UDL of 20KN/m from the left half.It also carries a point load of 50 KN on the crown cal
written 6.3 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 2.3 years ago

1) $rn^{n}$ and horizontal thrust

2) B.M at $H_m$ from left hand

3) Normal trust (N) and radial shear (F) at $H_m$ from left hand

4) Max +ve and -ve B.M

5) Draw B.M.D

Subject : Structural Analysis 1

Topic : Hinge Arches

Difficulty : Medium
structural analysis
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written 6.3 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 6.1 years ago

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1. Support $rx^{n}$:

$\sum M_A = 0 (\circlearrowright +ve)$

50 x 10 + (20 x 10) x 5 - $V_B$ x 20 = 0

20$V_B$ = 50 x 10 + 200 x 5

$\boxed{V_B = 75 KN}$

$\sum F_y = 0 (\uparrow +ve)$

$V_A$ - 50 - 200 + 75 …

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