(15C) Static Equivalent at a Point
01-10-2016, 10:05 PM
Post: #1 Eddie W. Shore Senior Member Posts: 1,223 Joined: Dec 2013
(15C) Static Equivalent at a Point

Source: Step by Step Solutions for your HP Calculator: Engineering Applications. HP-32S. Hewlett Packard. Corvallis, OR. 1988 pg. 40-44

Equations:

R5 * cos θ1 + R6 * cos θ2 = - Σ F * cos ϕ
R5 * sin θ1 + R6 * sin θ2 = - Σ F * sin ϕ

This program solves for R5, R6.

Variables:

Inputs:

R0: number of points
R1: T = angle of each known force (ϕ)
R2: F = value of each known force (F)
A = direction of the first reaction force (θ1)
B = direction of the second reaction force (θ2)

Outputs:

R5: R1 = unknown force 1 (R1)
R6: R2 = unknown force 2 (R2)

Temporary Variables: R3, R4, R7, R8, R9, R.0

R3 = X = sin θ1
R9 = Y = cos θ1

R4 = C = sin θ2
R.0 = D = cos θ2

R7 = Σ F * cos ϕ
R8 = Σ F * sin ϕ

This program clears all the registers.

Instructions:

Enter n, press [ f ] [1/x] ( E ), then each pair of T then [R/S] and F then [R/S], respectively. When completed with the pair, enter A and B. R1 is displayed first. Press [R/S] to get R2.

Program:

Code:
 LBL E Clear Registers [ f ] [X<>Y] STO 0 LBL 1 R/S  (enter T here) STO 1 R/S    (enter F here) STO 2 >R  (Polar to Rectangular) STO+ 7 X<>Y STO+ 8 DSE 0 GTO 1 R/S  (enter A here) SIN STO 3 LST X COS STO 9 R/S   (enter B here) SIN STO 4 LST X COS STO .0 (note the .0) RCL 7 RCL* 4 RLC .0 RCL* 8 - RCL 3 RCL* .0 RCL 9 RCL* 4 - ÷  STO 5 R/S  (display R1) LST X RCL 9 RCL* 8 RCL 7 RCL* 3 - X<>Y ÷  STO 6 RTN
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